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  Subjects -> PHYSICS (Total: 800 journals)
    - ELECTRICITY AND MAGNETISM (9 journals)
    - MECHANICS (21 journals)
    - NUCLEAR PHYSICS (51 journals)
    - OPTICS (86 journals)
    - PHYSICS (576 journals)
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PHYSICS (576 journals)                  1 2 3 | Last

Showing 1 - 200 of 741 Journals sorted alphabetically
Acta Acustica united with Acustica     Full-text available via subscription   (Followers: 7)
Acta Mechanica     Hybrid Journal   (Followers: 20)
Acta Scientifica Naturalis     Open Access   (Followers: 2)
Advanced Composite Materials     Hybrid Journal   (Followers: 66)
Advanced Functional Materials     Hybrid Journal   (Followers: 50)
Advanced Materials     Hybrid Journal   (Followers: 258)
Advanced Science Focus     Free   (Followers: 3)
Advanced Structural and Chemical Imaging     Open Access   (Followers: 2)
Advanced Studies in Theoretical Physics     Open Access  
Advances in Condensed Matter Physics     Open Access   (Followers: 8)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 3)
Advances in Geophysics     Full-text available via subscription   (Followers: 6)
Advances in High Energy Physics     Open Access   (Followers: 19)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2)
Advances in Materials Physics and Chemistry     Open Access   (Followers: 20)
Advances in Natural Sciences: Nanoscience and Nanotechnology     Open Access   (Followers: 29)
Advances in OptoElectronics     Open Access   (Followers: 5)
Advances In Physics     Hybrid Journal   (Followers: 19)
Advances in Physics : X     Open Access  
Advances in Physics Theories and Applications     Open Access   (Followers: 12)
Advances in Remote Sensing     Open Access   (Followers: 37)
AIP Advances     Open Access   (Followers: 8)
AIP Conference Proceedings     Full-text available via subscription   (Followers: 3)
American Journal of Condensed Matter Physics     Open Access   (Followers: 4)
American Journal of Signal Processing     Open Access   (Followers: 11)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Annalen der Physik     Hybrid Journal   (Followers: 5)
Annales Geophysicae (ANGEO)     Open Access   (Followers: 15)
Annales Henri Poincaré     Hybrid Journal   (Followers: 3)
Annales UMCS, Physica     Open Access  
Annals of Nuclear Medicine     Hybrid Journal   (Followers: 5)
Annals of Physics     Hybrid Journal   (Followers: 4)
Annals of West University of Timisoara - Physics     Open Access   (Followers: 1)
Annual Reports on NMR Spectroscopy     Full-text available via subscription   (Followers: 4)
Annual Review of Analytical Chemistry     Full-text available via subscription   (Followers: 11)
Annual Review of Condensed Matter Physics     Full-text available via subscription  
Annual Review of Materials Research     Full-text available via subscription   (Followers: 5)
APL Materials     Open Access   (Followers: 12)
Applied Composite Materials     Hybrid Journal   (Followers: 48)
Applied Physics A     Hybrid Journal   (Followers: 7)
Applied Physics Frontier     Open Access   (Followers: 1)
Applied Physics Letters     Hybrid Journal   (Followers: 32)
Applied Physics Research     Open Access   (Followers: 3)
Applied Physics Reviews     Hybrid Journal   (Followers: 8)
Applied Radiation and Isotopes     Hybrid Journal   (Followers: 7)
Applied Spectroscopy     Full-text available via subscription   (Followers: 23)
Applied Spectroscopy Reviews     Hybrid Journal   (Followers: 5)
Archive for Rational Mechanics and Analysis     Hybrid Journal  
Asia Pacific Physics Newsletter     Hybrid Journal  
ASTRA Proceedings     Open Access   (Followers: 1)
Astronomy & Geophysics     Hybrid Journal   (Followers: 47)
Astronomy and Astrophysics Review     Hybrid Journal   (Followers: 21)
Astrophysical Journal Supplement Series     Full-text available via subscription   (Followers: 8)
Atoms     Open Access   (Followers: 1)
Attention, Perception & Psychophysics     Full-text available via subscription   (Followers: 10)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 8)
Axioms     Open Access  
Bangladesh Journal of Medical Physics     Open Access  
Bauphysik     Hybrid Journal   (Followers: 2)
Berkala Fisika Indonesia     Open Access  
Biomaterials     Hybrid Journal   (Followers: 44)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 17)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 32)
Biophysical Reviews     Hybrid Journal   (Followers: 1)
Biophysical Reviews and Letters     Hybrid Journal   (Followers: 3)
BMC Biophysics     Open Access   (Followers: 5)
Boson Journal of Modern Physics     Open Access   (Followers: 11)
Brazilian Journal of Physics     Hybrid Journal  
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 10)
Bulletin of Materials Science     Open Access   (Followers: 43)
Bulletin of the Atomic Scientists     Hybrid Journal   (Followers: 3)
Bulletin of the Lebedev Physics Institute     Hybrid Journal   (Followers: 1)
Bulletin of the Russian Academy of Sciences: Physics     Hybrid Journal   (Followers: 1)
Caderno Brasileiro de Ensino de Física     Open Access  
Canadian Journal of Physics     Hybrid Journal   (Followers: 13)
Case Studies in Nondestructive Testing and Evaluation     Open Access   (Followers: 11)
Cells     Open Access   (Followers: 2)
CERN courier. International journal of high energy physics     Free   (Followers: 7)
Chemical Physics of Solid Surfaces     Full-text available via subscription  
Chinese Journal of Astronomy and Astrophysics     Full-text available via subscription   (Followers: 13)
Chinese Journal of Chemical Physics     Hybrid Journal   (Followers: 1)
Chinese Journal of Physics     Hybrid Journal  
Chinese Physics B     Full-text available via subscription  
Chinese Physics C     Full-text available via subscription  
Chinese Physics Letters     Full-text available via subscription  
Cogent Physics     Open Access   (Followers: 1)
Cohesion and Structure     Full-text available via subscription   (Followers: 2)
Colloid Journal     Hybrid Journal   (Followers: 2)
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications in Numerical Methods in Engineering     Hybrid Journal   (Followers: 2)
Communications in Theoretical Physics     Full-text available via subscription   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Composites Part A : Applied Science and Manufacturing     Hybrid Journal   (Followers: 184)
Composites Part B : Engineering     Hybrid Journal   (Followers: 286)
Computational Astrophysics and Cosmology     Open Access   (Followers: 1)
Computational Condensed Matter     Open Access  
Computational Materials Science     Hybrid Journal   (Followers: 21)
Computational Mathematics and Mathematical Physics     Hybrid Journal   (Followers: 3)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computational Science and Discovery     Full-text available via subscription   (Followers: 2)
Computer Physics Communications     Hybrid Journal   (Followers: 6)
Contemporary Concepts of Condensed Matter Science     Full-text available via subscription  
Contemporary Physics     Hybrid Journal   (Followers: 26)
Continuum Mechanics and Thermodynamics     Hybrid Journal   (Followers: 7)
Contributions to Plasma Physics     Hybrid Journal   (Followers: 3)
COSPAR Colloquia Series     Full-text available via subscription   (Followers: 7)
Cryogenics     Hybrid Journal   (Followers: 51)
Current Applied Physics     Full-text available via subscription   (Followers: 4)
Current Science     Open Access   (Followers: 60)
Diagnostic and Interventional Imaging     Full-text available via subscription  
Diamond and Related Materials     Hybrid Journal   (Followers: 12)
Doklady Physics     Hybrid Journal   (Followers: 1)
Dynamical Properties of Solids     Full-text available via subscription  
ECS Journal of Solid State Science and Technology     Hybrid Journal   (Followers: 6)
Egyptian Journal of Remote Sensing and Space Science     Open Access   (Followers: 19)
EJNMMI Physics     Open Access  
Electrospinning     Open Access  
Embedded Systems Letters, IEEE     Hybrid Journal   (Followers: 41)
Energy Procedia     Open Access   (Followers: 2)
Engineering Failure Analysis     Hybrid Journal   (Followers: 69)
Engineering Fracture Mechanics     Hybrid Journal   (Followers: 23)
Environmental Fluid Mechanics     Hybrid Journal   (Followers: 5)
EPJ Nonlinear Biomedical Physics     Open Access  
EPJ Quantum Technology     Open Access  
EPJ Techniques and Instrumentation     Full-text available via subscription  
EPJ Web of Conferences     Open Access  
European Journal of Physics     Full-text available via subscription   (Followers: 18)
European Physical Journal - Applied Physics     Full-text available via subscription   (Followers: 17)
European Physical Journal C     Hybrid Journal   (Followers: 1)
Europhysics News     Open Access  
Experimental Mechanics     Hybrid Journal   (Followers: 22)
Experimental Methods in the Physical Sciences     Full-text available via subscription  
Experimental Techniques     Hybrid Journal   (Followers: 56)
Exploration Geophysics     Hybrid Journal   (Followers: 4)
Few-Body Systems     Hybrid Journal  
Fire and Materials     Hybrid Journal   (Followers: 5)
Flexible Services and Manufacturing Journal     Hybrid Journal   (Followers: 1)
Fluctuation and Noise Letters     Hybrid Journal   (Followers: 1)
Fluid Dynamics     Hybrid Journal   (Followers: 14)
Fortschritte der Physik/Progress of Physics     Hybrid Journal  
Frontiers in Physics     Open Access   (Followers: 6)
Frontiers of Materials Science     Hybrid Journal   (Followers: 3)
Frontiers of Physics     Hybrid Journal   (Followers: 2)
Fusion Engineering and Design     Hybrid Journal   (Followers: 10)
Geochemistry, Geophysics, Geosystems     Full-text available via subscription   (Followers: 30)
Geografiska Annaler, Series A : Physical Geography     Hybrid Journal   (Followers: 3)
Geophysical Research Letters     Full-text available via subscription   (Followers: 130)
Geoscience and Remote Sensing, IEEE Transactions on     Hybrid Journal   (Followers: 156)
Glass Physics and Chemistry     Hybrid Journal   (Followers: 4)
Global Journal of Physics     Open Access   (Followers: 2)
Granular Matter     Hybrid Journal   (Followers: 1)
Graphs and Combinatorics     Hybrid Journal   (Followers: 7)
Gravitation and Cosmology     Hybrid Journal   (Followers: 3)
Handbook of Geophysical Exploration: Seismic Exploration     Full-text available via subscription  
Handbook of Metal Physics     Full-text available via subscription  
Handbook of Surface Science     Full-text available via subscription   (Followers: 3)
Handbook of Thermal Analysis and Calorimetry     Full-text available via subscription   (Followers: 1)
Haptics, IEEE Transactions on     Hybrid Journal   (Followers: 3)
Heat Transfer - Asian Research     Hybrid Journal   (Followers: 12)
High Energy Density Physics     Hybrid Journal   (Followers: 2)
High Pressure Research: An International Journal     Hybrid Journal   (Followers: 3)
IEEE Journal of Quantum Electronics     Hybrid Journal   (Followers: 21)
IEEE Signal Processing Magazine     Full-text available via subscription   (Followers: 68)
IET Optoelectronics     Hybrid Journal   (Followers: 1)
Il Colle di Galileo     Open Access  
Image Analysis & Stereology     Open Access  
Imaging Science Journal     Hybrid Journal   (Followers: 2)
Indian Journal of Biochemistry and Biophysics (IJBB)     Open Access   (Followers: 3)
Indian Journal of Physics     Hybrid Journal   (Followers: 20)
Indian Journal of Pure & Applied Physics (IJPAP)     Open Access   (Followers: 38)
Indian Journal of Radio & Space Physics (IJRSP)     Open Access   (Followers: 36)
Industrial Electronics, IEEE Transactions on     Hybrid Journal   (Followers: 41)
Industry Applications, IEEE Transactions on     Hybrid Journal   (Followers: 10)
Infinite Dimensional Analysis, Quantum Probability and Related Topics     Hybrid Journal  
InfraMatics     Open Access  
Infrared Physics & Technology     Hybrid Journal   (Followers: 11)
Intelligent Transportation Systems Magazine, IEEE     Full-text available via subscription   (Followers: 8)
Intermetallics     Hybrid Journal   (Followers: 23)
International Applied Mechanics     Hybrid Journal   (Followers: 3)
International Geophysics     Full-text available via subscription   (Followers: 3)
International Heat Treatment and Surface Engineering     Hybrid Journal   (Followers: 5)
International Journal for Computational Methods in Engineering Science and Mechanics     Hybrid Journal   (Followers: 11)
International Journal for Ion Mobility Spectrometry     Hybrid Journal   (Followers: 1)
International Journal for Simulation and Multidisciplinary Design Optimization     Open Access   (Followers: 4)
International Journal of Abrasive Technology     Hybrid Journal   (Followers: 2)
International Journal of Aeroacoustics     Hybrid Journal   (Followers: 34)
International Journal of Applied Electronics in Physics & Robotics     Open Access   (Followers: 4)
International Journal of Astronomy and Astrophysics     Open Access   (Followers: 23)
International Journal of Computational Materials Science and Surface Engineering     Hybrid Journal   (Followers: 6)
International Journal of Damage Mechanics     Hybrid Journal   (Followers: 5)
International Journal of Fatigue     Hybrid Journal   (Followers: 37)
International Journal of Fracture     Hybrid Journal   (Followers: 12)
International Journal of Geometric Methods in Modern Physics     Hybrid Journal   (Followers: 2)
International Journal of Heat and Fluid Flow     Hybrid Journal   (Followers: 35)
International Journal of Low Radiation     Hybrid Journal  
International Journal of Low-Carbon Technologies     Open Access   (Followers: 1)
International Journal of Mass Spectrometry     Hybrid Journal   (Followers: 17)
International Journal of Material Forming     Hybrid Journal   (Followers: 1)
International Journal of Materials and Product Technology     Hybrid Journal   (Followers: 4)
International Journal of Mechanical Sciences     Hybrid Journal   (Followers: 12)

        1 2 3 | Last

Journal Cover Archive for Rational Mechanics and Analysis
  [SJR: 4.091]   [H-I: 66]   [0 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1432-0673 - ISSN (Online) 0003-9527
   Published by Springer-Verlag Homepage  [2352 journals]
  • Large Deviations and Transitions Between Equilibria for Stochastic
           Landau–Lifshitz–Gilbert Equation
    • Authors: Zdzisław Brzeźniak; Ben Goldys; Terence Jegaraj
      Pages: 497 - 558
      Abstract: Abstract We study a stochastic Landau–Lifshitz equation on a bounded interval and with finite dimensional noise. We first show that there exists a pathwise unique solution to this equation and that this solution enjoys the maximal regularity property. Next, we prove the large deviations principle for the small noise asymptotic of solutions using the weak convergence method. An essential ingredient of the proof is the compactness, or weak to strong continuity, of the solution map for a deterministic Landau–Lifschitz equation when considered as a transformation of external fields. We then apply this large deviations principle to show that small noise can cause magnetisation reversal. We also show the importance of the shape anisotropy parameter for reducing the disturbance of the solution caused by small noise. The problem is motivated by applications from ferromagnetic nanowires to the fabrication of magnetic memories.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1117-0
      Issue No: Vol. 226, No. 2 (2017)
       
  • Existence of Torsional Solitons in a Beam Model of Suspension Bridge
    • Authors: Vieri Benci; Donato Fortunato; Filippo Gazzola
      Pages: 559 - 585
      Abstract: Abstract This paper studies the existence of solitons, namely stable solitary waves, in an idealized suspension bridge. The bridge is modeled as an unbounded degenerate plate, that is, a central beam with cross sections, and displays two degrees of freedom: the vertical displacement of the beam and the torsional angles of the cross sections. Under fairly general assumptions, we prove the existence of solitons. Under the additional assumption of large tension in the sustaining cables, we prove that these solitons have a nontrivial torsional component. This appears relevant for security since several suspension bridges collapsed due to torsional oscillations.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1138-8
      Issue No: Vol. 226, No. 2 (2017)
       
  • Pointwise Estimates for Bipolar Compressible Navier–Stokes–Poisson
           System in Dimension Three
    • Authors: Zhigang Wu; Weike Wang
      Pages: 587 - 638
      Abstract: Abstract The Cauchy problem of the bipolar Navier–Stokes–Poisson system (1.1) in dimension three is considered. We obtain the pointwise estimates of the time-asymptotic shape of the solution, which exhibit a generalized Huygens’ principle as the Navier–Stokes system. This phenomenon is the most important difference from the unipolar Navier–Stokes–Poisson system. Due to the non-conservative structure of the system (1.1) and the interplay of two carriers which counteract the influence of the electric field (a nonlocal term), some new observations are essential for the proof. We fully use the conservative structure of the system for the total density and total momentum, and the mechanism of the linearized unipolar Navier–Stokes–Poisson system together with the special form of the nonlinear terms in the system for the difference of densities and the difference of momentums. Lastly, as a byproduct, we extend the usual \({L^2({\mathbb{R}}^3)}\) -decay rate to the \({L^p({\mathbb{R}}^3)}\) -decay rate with \({p > 1}\) and also improve former decay rates.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1140-1
      Issue No: Vol. 226, No. 2 (2017)
       
  • A Varifold Approach to Surface Approximation
    • Authors: Blanche Buet; Gian Paolo Leonardi; Simon Masnou
      Pages: 639 - 694
      Abstract: Abstract We show that the theory of varifolds can be suitably enriched to open the way to applications in the field of discrete and computational geometry. Using appropriate regularizations of the mass and of the first variation of a varifold we introduce the notion of approximate mean curvature and show various convergence results that hold, in particular, for sequences of discrete varifolds associated with point clouds or pixel/voxel-type discretizations of d-surfaces in the Euclidean n-space, without restrictions on dimension and codimension. The variational nature of the approach also allows us to consider surfaces with singularities, and in that case the approximate mean curvature is consistent with the generalized mean curvature of the limit surface. A series of numerical tests are provided in order to illustrate the effectiveness and generality of the method.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1141-0
      Issue No: Vol. 226, No. 2 (2017)
       
  • Quantitative Analysis of Boundary Layers in Periodic Homogenization
    • Authors: Scott Armstrong; Tuomo Kuusi; Jean-Christophe Mourrat; Christophe Prange
      Pages: 695 - 741
      Abstract: Abstract We prove quantitative estimates on the rate of convergence for the oscillating Dirichlet problem in periodic homogenization of divergence-form uniformly elliptic systems. The estimates are optimal in dimensions larger than three and new in every dimension. We also prove a regularity estimate on the homogenized boundary condition.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1142-z
      Issue No: Vol. 226, No. 2 (2017)
       
  • Gaussian Curvature as an Identifier of Shell Rigidity
    • Authors: Davit Harutyunyan
      Pages: 743 - 766
      Abstract: Abstract In the paper we deal with shells with non-zero Gaussian curvature. We derive sharp Korn’s first (linear geometric rigidity estimate) and second inequalities on that kind of shell for zero or periodic Dirichlet, Neumann, and Robin type boundary conditions. We prove that if the Gaussian curvature is positive, then the optimal constant in the first Korn inequality scales like h, and if the Gaussian curvature is negative, then the Korn constant scales like h 4/3, where h is the thickness of the shell. These results have a classical flavour in continuum mechanics, in particular shell theory. The Korn first inequalities are the linear version of the famous geometric rigidity estimate by Friesecke et al. for plates in Arch Ration Mech Anal 180(2):183–236, 2006 (where they show that the Korn constant in the nonlinear Korn’s first inequality scales like h 2), extended to shells with nonzero curvature. We also recover the uniform Korn–Poincaré inequality proven for “boundary-less” shells by Lewicka and Müller in Annales de l’Institute Henri Poincare (C) Non Linear Anal 28(3):443–469, 2011 in the setting of our problem. The new estimates can also be applied to find the scaling law for the critical buckling load of the shell under in-plane loads as well as to derive energy scaling laws in the pre-buckled regime. The exponents 1 and 4/3 in the present work appear for the first time in any sharp geometric rigidity estimate.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1143-y
      Issue No: Vol. 226, No. 2 (2017)
       
  • Global m -Equivariant Solutions of Nematic Liquid Crystal Flows in
           Dimension Two
    • Authors: Yuan Chen; Yong Yu
      Pages: 767 - 808
      Abstract: Abstract In this article we construct a global solution of the simplified Ericksen-Leslie system. We show that the velocity of the solution can be decomposed into the sum of three parts. The main flow is governed by the Oseen vortex with the same circulation Reynolds number as the initial fluid. The secondary flow has finite kinetic energy and decay in the speed (1 + t)−2 as \({t \rightarrow \infty}\) . The third part is a minor flow whose kinetic energy decays faster than the secondary flow. As for the orientation variable, our solution has a phase function which diverges logarithmically to \({\infty}\) as \({t \rightarrow \infty}\) . This indicates that the orientation variable will keep rotating around the z-axis while \({t \rightarrow \infty}\) . This phenomenon results from a non-trivial coupling between the orientation variable and a fluid with a non-zero circulation Reynolds number.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1144-x
      Issue No: Vol. 226, No. 2 (2017)
       
  • Statistical Solutions of Hyperbolic Conservation Laws: Foundations
    • Authors: U. S. Fjordholm; S. Lanthaler; S. Mishra
      Pages: 809 - 849
      Abstract: Abstract We seek to define statistical solutions of hyperbolic systems of conservation laws as time-parametrized probability measures on p-integrable functions. To do so, we prove the equivalence between probability measures on L p spaces and infinite families of correlation measures. Each member of this family, termed a correlation marginal, is a Young measure on a finite-dimensional tensor product domain and provides information about multi-point correlations of the underlying integrable functions. We also prove that any probability measure on a L p space is uniquely determined by certain moments (correlation functions) of the equivalent correlation measure. We utilize this equivalence to define statistical solutions of multi-dimensional conservation laws in terms of an infinite set of equations, each evolving a moment of the correlation marginal. These evolution equations can be interpreted as augmenting entropy measure-valued solutions, with additional information about the evolution of all possible multi-point correlation functions. Our concept of statistical solutions can accommodate uncertain initial data as well as possibly non-atomic solutions, even for atomic initial data. For multi-dimensional scalar conservation laws we impose additional entropy conditions and prove that the resulting entropy statistical solutions exist, are unique and are stable with respect to the 1-Wasserstein metric on probability measures on L 1.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1145-9
      Issue No: Vol. 226, No. 2 (2017)
       
  • Critical Points and Bifurcations of the Three-Dimensional Onsager Model
           for Liquid Crystals
    • Authors: Michaela A. C. Vollmer
      Pages: 851 - 922
      Abstract: Abstract We study the bifurcation diagram of the Onsager free-energy functional for liquid crystals with orientation parameter on the sphere. In particular, we concentrate on the bifurcations from the isotropic solution for a general class of two-body interaction potentials including the Onsager kernel. Reformulating the problem as a non-linear eigenvalue problem for the kernel operator, we prove that spherical harmonics are the corresponding eigenfunctions and we present a direct relationship between the coefficients of the Taylor expansion of this class of interaction potentials and their eigenvalues. We find explicit expressions for all bifurcation points corresponding to bifurcations from the isotropic state of the Onsager free-energy functional equipped with the Onsager interaction potential. A substantial amount of our analysis is based on the use of spherical harmonics and a special algorithm for computing expansions of products of spherical harmonics in terms of spherical harmonics is presented. Using a Lyapunov–Schmidt reduction, we derive a bifurcation equation depending on five state variables. The dimension of this state space is further reduced to two dimensions by using the rotational symmetry of the problem and the invariant theory of groups. On the basis of these results, we show that the first bifurcation from the isotropic state of the Onsager interaction potential is a transcritical bifurcation and that the corresponding solution is uniaxial. In addition, we prove some global properties of the bifurcation diagram such as the fact that the trivial solution is the unique local minimiser if the bifurcation parameter is high, that it is not a local minimiser if the bifurcation parameter is small, the boundedness of all equilibria of the functional and that the bifurcation branches are either unbounded or that they meet another bifurcation branch.
      PubDate: 2017-11-01
      DOI: 10.1007/s00205-017-1146-8
      Issue No: Vol. 226, No. 2 (2017)
       
  • A Minimal Integrity Basis for the Elasticity Tensor
    • Authors: M. Olive; B. Kolev; N. Auffray
      Pages: 1 - 31
      Abstract: Abstract We definitively solve the old problem of finding a minimal integrity basis of polynomial invariants of the fourth-order elasticity tensor C. Decomposing C into its SO(3)-irreducible components we reduce this problem to finding joint invariants of a triplet (a, b, D), where a and b are second-order harmonic tensors, and D is a fourth-order harmonic tensor. Combining theorems of classical invariant theory and formal computations, a minimal integrity basis of 297 polynomial invariants for the elasticity tensor is obtained for the first time.
      PubDate: 2017-10-01
      DOI: 10.1007/s00205-017-1127-y
      Issue No: Vol. 226, No. 1 (2017)
       
  • Spectral Resolution of the Neumann–Poincaré Operator on Intersecting
           Disks and Analysis of Plasmon Resonance
    • Authors: Hyeonbae Kang; Mikyoung Lim; Sanghyeon Yu
      Pages: 83 - 115
      Abstract: Abstract The purpose of this paper is to investigate the spectral nature of the Neumann–Poincaré operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which shows, in particular, that it admits only the absolutely continuous spectrum; no singularly continuous spectrum and no pure point spectrum. We then quantitatively analyze using the spectral resolution of the plasmon resonance at the absolutely continuous spectrum.
      PubDate: 2017-10-01
      DOI: 10.1007/s00205-017-1129-9
      Issue No: Vol. 226, No. 1 (2017)
       
  • Traveling Waves for Nonlinear Schrödinger Equations with Nonzero
           Conditions at Infinity
    • Authors: David Chiron; Mihai Mariş
      Pages: 143 - 242
      Abstract: Abstract We prove the existence of nontrivial finite energy traveling waves for a large class of nonlinear Schrödinger equations with nonzero conditions at infinity (includindg the Gross–Pitaevskii and the so-called “cubic-quintic” equations) in space dimension \({ N \geq 2}\) . We show that minimization of the energy at fixed momentum can be used whenever the associated nonlinear potential is nonnegative and it gives a set of orbitally stable traveling waves, while minimization of the action at constant kinetic energy can be used in all cases. We also explore the relationship between the families of traveling waves obtained by different methods and we prove a sharp nonexistence result for traveling waves with small energy.
      PubDate: 2017-10-01
      DOI: 10.1007/s00205-017-1131-2
      Issue No: Vol. 226, No. 1 (2017)
       
  • On the Geometry of the Hamilton–Jacobi Equation and Generating
           Functions
    • Authors: Sebastián Ferraro; Manuel de León; Juan Carlos Marrero; David Martín de Diego; Miguel Vaquero
      Pages: 243 - 302
      Abstract: Abstract In this paper we develop a geometric version of the Hamilton–Jacobi equation in the Poisson setting. Specifically, we “geometrize” what is usually called a complete solution of the Hamilton–Jacobi equation. We use some well-known results about symplectic groupoids, in particular cotangent groupoids, as a keystone for the construction of our framework. Our methodology follows the ambitious program proposed by Weinstein (In Mechanics day (Waterloo, ON, 1992), volume 7 of fields institute communications, American Mathematical Society, Providence, 1996) in order to develop geometric formulations of the dynamical behavior of Lagrangian and Hamiltonian systems on Lie algebroids and Lie groupoids. This procedure allows us to take symmetries into account, and, as a by-product, we recover results from Channell and Scovel (Phys D 50(1):80–88, 1991), Ge (Indiana Univ. Math. J. 39(3):859–876, 1990), Ge and Marsden (Phys Lett A 133(3):134–139, 1988), but even in these situations our approach is new. A theory of generating functions for the Poisson structures considered here is also developed following the same pattern, solving a longstanding problem of the area: how to obtain a generating function for the identity transformation and the nearby Poisson automorphisms of Poisson manifolds. A direct application of our results gives the construction of a family of Poisson integrators, that is, integrators that conserve the underlying Poisson geometry. These integrators are implemented in the paper in benchmark problems. Some conclusions, current and future directions of research are shown at the end of the paper.
      PubDate: 2017-10-01
      DOI: 10.1007/s00205-017-1133-0
      Issue No: Vol. 226, No. 1 (2017)
       
  • Convex Central Configurations of the 4-Body Problem with Two Pairs of
           Equal Adjacent Masses
    • Authors: Antonio Carlos Fernandes; Jaume Llibre; Luis Fernando Mello
      Pages: 303 - 320
      Abstract: Abstract We study the convex central configurations of the 4-body problem assuming that they have two pairs of equal masses located at two adjacent vertices of a convex quadrilateral. Under these assumptions we prove that the isosceles trapezoid is the unique central configuration.
      PubDate: 2017-10-01
      DOI: 10.1007/s00205-017-1134-z
      Issue No: Vol. 226, No. 1 (2017)
       
  • A Circuit Equation as a Limit of Eddy Current Equations
    • Authors: Youcef Amirat; Rachid Touzani
      Pages: 405 - 440
      Abstract: Abstract We consider a three-dimensional time-harmonic eddy current problem formulated in terms of the magnetic field. We prove that in the case of one thin toroidal conductor, eddy current equations have as a limit Kirchhoff’s algebraic equation for circuits. This approximation is valid in the case of small resistivity and voltage.
      PubDate: 2017-10-01
      DOI: 10.1007/s00205-017-1136-x
      Issue No: Vol. 226, No. 1 (2017)
       
  • On the Structure of $${L^\infty}$$ L ∞ -Entropy Solutions to Scalar
           Conservation Laws in One-Space Dimension
    • Authors: S. Bianchini; E. Marconi
      Pages: 441 - 493
      Abstract: Abstract We prove that if u is the entropy solution to a scalar conservation law in one space dimension, then the entropy dissipation is a measure concentrated on countably many Lipschitz curves. This result is a consequence of a detailed analysis of the structure of the characteristics. In particular, the characteristic curves are segments outside a countably 1-rectifiable set and the left and right traces of the solution exist in a C 0-sense up to the degeneracy due to the segments where \({f''=0}\) . We prove also that the initial data is taken in a suitably strong sense and we give some examples which show that these results are sharp.
      PubDate: 2017-10-01
      DOI: 10.1007/s00205-017-1137-9
      Issue No: Vol. 226, No. 1 (2017)
       
  • Erratum to: Large Deviations and Transitions Between Equilibria for
           Stochastic Landau–Lifshitz–Gilbert Equation
    • Authors: Zdzisław Brzeźniak; Ben Goldys; Terence Jegaraj
      Pages: 495 - 496
      PubDate: 2017-10-01
      DOI: 10.1007/s00205-017-1139-7
      Issue No: Vol. 226, No. 1 (2017)
       
  • A Model of Controlled Growth
    • Authors: Alberto Bressan; Marta Lewicka
      Abstract: Abstract We consider a free boundary problem for a system of PDEs, modeling the growth of a biological tissue. A morphogen, controlling volume growth, is produced by specific cells and then diffused and absorbed throughout the domain. The geometric shape of the growing tissue is determined by the instantaneous minimization of an elastic deformation energy, subject to a constraint on the volumetric growth. For an initial domain with \({\mathcal{C}^{2,\alpha}}\) boundary, our main result establishes the local existence and uniqueness of a classical solution, up to a rigid motion.
      PubDate: 2017-10-12
      DOI: 10.1007/s00205-017-1183-3
       
  • Constrained Optimal Transport
    • Authors: Ibrahim Ekren; H. Mete Soner
      Abstract: The classical duality theory of Kantorovich (C R (Doklady) Acad Sci URSS (NS) 37:199–201, 1942) and Kellerer (Z Wahrsch Verw Gebiete 67(4):399–432, 1984) for classical optimal transport is generalized to an abstract framework and a characterization of the dual elements is provided. This abstract generalization is set in a Banach lattice \({\mathcal{X}}\) with an order unit. The problem is given as the supremum over a convex subset of the positive unit sphere of the topological dual of \({\mathcal{X}}\) and the dual problem is defined on the bi-dual of \({\mathcal{X}}\) . These results are then applied to several extensions of the classical optimal transport.
      PubDate: 2017-10-09
      DOI: 10.1007/s00205-017-1178-0
       
  • Semiclassical Limit of the
           Schrödinger–Poisson–Landau–Lifshitz–Gilbert System
    • Authors: Lihui Chai; Carlos J. García-Cervera; Xu Yang
      Abstract: Abstract The Schrödinger–Poisson–Landau–Lifshitz–Gilbert (SPLLG) system is an effective microscopic model that describes the coupling between conduction electron spins and the magnetization in ferromagnetic materials. This system has been used in connection with the study of spin transfer and magnetization reversal in ferromagnetic materials. In this paper, we rigorously prove the existence of weak solutions to SPLLG and derive the Vlasov–Poisson–Landau–Lifshitz–Glibert system as the semiclassical limit.
      PubDate: 2017-10-09
      DOI: 10.1007/s00205-017-1177-1
       
 
 
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