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PHYSICS (573 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: 19)
Acta Scientifica Naturalis     Open Access   (Followers: 2)
Advanced Composite Materials     Hybrid Journal   (Followers: 65)
Advanced Functional Materials     Hybrid Journal   (Followers: 50)
Advanced Materials     Hybrid Journal   (Followers: 250)
Advanced Science Focus     Free   (Followers: 3)
Advanced Structural and Chemical Imaging     Open Access   (Followers: 2)
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: 19)
Advances in Natural Sciences: Nanoscience and Nanotechnology     Open Access   (Followers: 28)
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: 10)
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: 10)
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: 33)
Applied Physics Research     Open Access   (Followers: 3)
Applied Physics Reviews     Hybrid Journal   (Followers: 9)
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: 42)
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  
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: 10)
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: 179)
Composites Part B : Engineering     Hybrid Journal   (Followers: 228)
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: 2)
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: 6)
Contributions to Plasma Physics     Hybrid Journal   (Followers: 3)
COSPAR Colloquia Series     Full-text available via subscription   (Followers: 7)
Cryogenics     Hybrid Journal   (Followers: 49)
Current Applied Physics     Full-text available via subscription   (Followers: 4)
Current Science     Open Access   (Followers: 58)
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: 40)
Energy Procedia     Open Access   (Followers: 2)
Engineering Failure Analysis     Hybrid Journal   (Followers: 68)
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 Journal of Physics Education     Open Access   (Followers: 3)
European Physical Journal - Applied Physics     Full-text available via subscription   (Followers: 16)
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: 13)
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: 28)
Geografiska Annaler, Series A : Physical Geography     Hybrid Journal   (Followers: 3)
Geophysical Research Letters     Full-text available via subscription   (Followers: 120)
Geoscience and Remote Sensing, IEEE Transactions on     Hybrid Journal   (Followers: 146)
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: 6)
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: 66)
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: 40)
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: 22)
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: 33)
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: 34)
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: 34)
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  [2353 journals]
  • Null Controllability and Finite Time Stabilization for the Heat Equations
           with Variable Coefficients in Space in One Dimension via Backstepping
    • Authors: Jean-Michel Coron; Hoai-Minh Nguyen
      Pages: 993 - 1023
      Abstract: Abstract Using the backstepping approach we recover the null controllability for the heat equations with variable coefficients in space in one dimension and prove that these equations can be stabilized in finite time by means of periodic time-varying feedback laws. To this end, on the one hand, we provide a new proof of the well-posedness and the “optimal” bound with respect to damping constants for the solutions of the kernel equations; this allows one to deal with variable coefficients, even with a weak regularity of these coefficients. On the other hand, we establish the well-posedness and estimates for the heat equations with a nonlocal boundary condition at one side.
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1119-y
      Issue No: Vol. 225, No. 3 (2017)
  • Second-Order Structured Deformations: Relaxation, Integral Representation
           and Applications
    • Authors: Ana Cristina Barroso; José Matias; Marco Morandotti; David R. Owen
      Pages: 1025 - 1072
      Abstract: Abstract Second-order structured deformations of continua provide an extension of the multiscale geometry of first-order structured deformations by taking into account the effects of submacroscopic bending and curving. We derive here an integral representation for a relaxed energy functional in the setting of second-order structured deformations. Our derivation covers inhomogeneous initial energy densities (i.e., with explicit dependence on the position); finally, we provide explicit formulas for bulk relaxed energies as well as anticipated applications.
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1120-5
      Issue No: Vol. 225, No. 3 (2017)
  • Energy Conservation for the Weak Solutions of the Compressible
           Navier–Stokes Equations
    • Authors: Cheng Yu
      Pages: 1073 - 1087
      Abstract: Abstract In this paper, we prove the energy conservation for the weak solutions of the compressible Navier–Stokes equations for any time t > 0, under certain conditions. The results hold for the renormalized solutions of the equations with constant viscosities, as well as the weak solutions of the equations with degenerate viscosity. Our conditions do not depend on the dimensions. The energy may be conserved on the vacuum for the compressible Navier–Stokes equations with constant viscosities. Our results are the first ones on energy conservation for the weak solutions of the compressible Navier–Stokes equations.
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1121-4
      Issue No: Vol. 225, No. 3 (2017)
  • Poisson Stochastic Process and Basic Schauder and Sobolev Estimates in the
           Theory of Parabolic Equations
    • Authors: N. V. Krylov; E. Priola
      Pages: 1089 - 1126
      Abstract: Abstract We show, among other things, how knowing Schauder or Sobolev-space estimates for the one-dimensional heat equation allows one to derive their multidimensional analogs for equations with coefficients depending only on the time variable with the same constants as in the case of the one-dimensional heat equation. The method is quite general and is based on using the Poisson stochastic process. It also applies to equations involving non-local operators. It looks like no other methods are available at this time and it is a very challenging problem to find a purely analytical approach to proving such results.
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1122-3
      Issue No: Vol. 225, No. 3 (2017)
  • Stability for the Lens Rigidity Problem
    • Authors: Gang Bao; Hai Zhang
      Pages: 1127 - 1160
      Abstract: Abstract Let g be a Riemannian metric for \({\mathbb{R}^d}\) ( \({d \geqq 3}\) ) which differs from the Euclidean metric only in a smooth and strictly convex bounded domain M. The lens rigidity problem is concerned with recovering the metric g inside M from the corresponding lens relation on the boundary \({\partial M}\) . In this paper, the stability of the lens rigidity problem is investigated for metrics which are a priori close to a given non-trapping metric satisfying the “strong fold-regular” condition. A metric g is called strong fold-regular if for each point \({x\in M}\) , there exists a set of geodesics passing through x whose conormal bundle covers \({T^*_{x}M}\) . Moreover, these geodesics contain either no conjugate points or only fold conjugate points with a non-degeneracy condition. Examples of strong fold-regular metrics are constructed. Our main result gives the first stability result for the lens rigidity problem in the case of anisotropic metrics which allow conjugate points. The approach is based on the study of the linearized inverse problem of recovering a metric from its induced geodesic flow, which is a weighted geodesic X-ray transform problem for symmetric 2-tensor fields. A key ingredient is to show that the kernel of the X-ray transform on symmetric solenoidal 2-tensor fields is of finite dimension. It remains open whether the kernel space is trivial or not.
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1123-2
      Issue No: Vol. 225, No. 3 (2017)
  • Global Existence of Finite Energy Weak Solutions of Quantum
           Navier–Stokes Equations
    • Authors: Paolo Antonelli; Stefano Spirito
      Pages: 1161 - 1199
      Abstract: Abstract In this paper we consider the Quantum Navier–Stokes system both in two and in three space dimensions and prove the global existence of finite energy weak solutions for large initial data. In particular, the notion of weak solutions is the standard one. This means that the vacuum region is included in the weak formulation. In particular, no extra terms like damping or cold pressure are added to the system in order to define the velocity field in the vacuum region. The main contribution of this paper is the construction of a regular approximating system consistent with the effective velocity transformation needed to get the necessary a priori estimates.
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1124-1
      Issue No: Vol. 225, No. 3 (2017)
  • A Mean Field Limit for the Vlasov–Poisson System
    • Authors: Dustin Lazarovici; Peter Pickl
      Pages: 1201 - 1231
      Abstract: Abstract We present a probabilistic proof of the mean field limit and propagation of chaos N-particle systems in three dimensions with positive (Coulomb) or negative (Newton) 1/r potentials scaling like 1/N and an N-dependent cut-off which scales like \({N^{-1/3+ \epsilon}}\) . In particular, for typical initial data, we show convergence of the empirical distributions to solutions of the Vlasov–Poisson system with either repulsive electrical or attractive gravitational interactions.
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1125-0
      Issue No: Vol. 225, No. 3 (2017)
  • Homogenization Near Resonances and Artificial Magnetism in Three
           Dimensional Dielectric Metamaterials
    • Authors: Guy Bouchitté; Christophe Bourel; Didier Felbacq
      Pages: 1233 - 1277
      Abstract: Abstract It is now well established that the homogenization of a periodic array of parallel dielectric fibers with suitably scaled high permittivity can lead to a (possibly) negative frequency-dependent effective permeability. However this result based on a two-dimensional approach holds merely in the case of linearly polarized magnetic fields, reducing thus its applications to infinite cylindrical obstacles. In this paper we consider a dielectric structure placed in a bounded domain of \({\mathbb{R}^3}\) and perform a full three dimensional asymptotic analysis. The main ingredient is a new averaging method for characterizing the bulk effective magnetic field in the vanishing-period limit. We give evidence of a vectorial spectral problem on the periodic cell which determines micro-resonances and encodes the oscillating behavior of the magnetic field from which artificial magnetism arises. At a macroscopic level we deduce an effective permeability tensor that we can make explicit as a function of the frequency. As far as sign-changing permeability is sought after, we may foresee that periodic bulk dielectric inclusions could be an efficient alternative to the very popular metallic split-ring structure proposed by Pendry. Part of these results have been announced in Bouchitté et al. (C R Math Acad Sci Paris 347(9–10):571–576, 2009).
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1132-1
      Issue No: Vol. 225, No. 3 (2017)
  • The Lifespan of Small Data Solutions in Two Dimensional Capillary Water
    • Authors: Mihaela Ifrim; Daniel Tataru
      Pages: 1279 - 1346
      Abstract: Abstract This article is concerned with the incompressible, irrotational infinite depth water wave equation in two space dimensions, without gravity but with surface tension. We consider this problem expressed in position–velocity potential holomorphic coordinates, and prove that small data solutions have at least cubic lifespan while small localized data leads to global solutions.
      PubDate: 2017-09-01
      DOI: 10.1007/s00205-017-1126-z
      Issue No: Vol. 225, No. 3 (2017)
  • On the Asymptotic Stability of Stationary Solutions of the Inviscid
           Incompressible Porous Medium Equation
    • Authors: Tarek M. Elgindi
      Pages: 573 - 599
      Abstract: Abstract We study the stability of stationary solutions of the two dimensional inviscid incompressible porous medium equation (IPM). We show that solutions which are near certain stable stationary solutions must converge as t → ∞ to a stationary solution of the IPM equation. It turns out that linearizing the IPM equation about certain stable stationary solutions gives a non-local partial damping mechanism. On the torus, the linearized problem has a very large set of stationary (undamped) modes. This makes the problem of long-time behavior more difficult since there is the possibility of a cascading non-linear growth along the stationary modes of the linearized problem. We solve this by, more or less, doing a second linearization around the undamped modes, exploiting a special non-linear structure, and showing that the stationary modes can be controlled.
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1090-7
      Issue No: Vol. 225, No. 2 (2017)
  • Gevrey Smoothing for Weak Solutions of the Fully Nonlinear Homogeneous
           Boltzmann and Kac Equations Without Cutoff for Maxwellian Molecules
    • Authors: Jean-Marie Barbaroux; Dirk Hundertmark; Tobias Ried; Semjon Vugalter
      Pages: 601 - 661
      Abstract: Abstract It has long been suspected that the non-cutoff Boltzmann operator has similar coercivity properties to the fractional Laplacian. This has led to the hope that the homogenous Boltzmann equation enjoys similar regularity properties to the heat equation with a fractional Laplacian. In particular, the weak solution of the fully nonlinear non-cutoff homogenous Boltzmann equation with initial datum in \({L^1_2(\mathbb{R}^d)\cap L {\rm log} L(\mathbb{R}^d)}\) , i.e., finite mass, energy and entropy, should immediately become Gevrey regular for strictly positive times. We prove this conjecture for Maxwellian molecules.
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1101-8
      Issue No: Vol. 225, No. 2 (2017)
  • From the Q-Tensor Flow for the Liquid Crystal to the Harmonic Map Flow
    • Authors: Meng Wang; Wendong Wang; Zhifei Zhang
      Pages: 663 - 683
      Abstract: Abstract In this paper, we consider the solutions of the relaxed Q-tensor flow in \({\mathbb{R}^3}\) with small parameter \({\epsilon}\) . We show that the limiting map is the so-called harmonic map flow. As a consequence, we present a new proof for the global existence of a weak solution for the harmonic map flow in three dimensions as in [18, 23], where the Ginzburg–Landau approximation approach was used.
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1111-6
      Issue No: Vol. 225, No. 2 (2017)
  • Multiphase Solutions to the Vector Allen–Cahn Equation: Crystalline and
           Other Complex Symmetric Structures
    • Authors: Peter W. Bates; Giorgio Fusco; Panayotis Smyrnelis
      Pages: 685 - 715
      Abstract: We present a systematic study of entire symmetric solutions \({u : \mathbb{R}^n \rightarrow\mathbb{R}^m}\) of the vector Allen–Cahn equation $$\Delta u - W_u(u) = 0 \quad\text{for all}\quad x \in \mathbb{R}^n,$$ where \({W:\mathbb{R}^m \rightarrow \mathbb{R}}\) is smooth, symmetric, nonnegative with a finite number of zeros, and where \({ W_u= (\partial W / \partial u_1,\dots,\partial W / \partial u_m)^{\top}}\) . We introduce a general notion of equivariance with respect to a homomorphism \({f:G\rightarrow\Gamma}\) ( \({G, \Gamma}\) reflection groups) and prove two abstract results, concerning the cases of G finite and G discrete, for the existence of equivariant solutions. Our approach is variational and based on a mapping property of the parabolic vector Allen–Cahn equation and on a pointwise estimate for vector minimizers.
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1112-5
      Issue No: Vol. 225, No. 2 (2017)
  • On the Existence of Integrable Solutions to Nonlinear Elliptic Systems and
           Variational Problems with Linear Growth
    • Authors: Lisa Beck; Miroslav Bulíček; Josef Málek; Endre Süli
      Pages: 717 - 769
      Abstract: Abstract We investigate the properties of certain elliptic systems leading, a priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a so-called asymptotic radial structure, then the solution can in fact be understood as a standard weak solution, with one proviso: analogously to the case of minimal surface equations, the attainment of the boundary value is penalized by a measure supported on (a subset of) the boundary, which, for the class of problems under consideration here, is the part of the boundary where a Neumann boundary condition is imposed.
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1113-4
      Issue No: Vol. 225, No. 2 (2017)
  • The Euler–Maxwell System for Electrons: Global Solutions in 2 D
    • Authors: Yu Deng; Alexandru D. Ionescu; Benoit Pausader
      Pages: 771 - 871
      Abstract: Abstract A basic model for describing plasma dynamics is given by the Euler–Maxwell system, in which compressible ion and electron fluids interact with their own self-consistent electromagnetic field. In this paper we consider the “one-fluid” Euler–Maxwell model for electrons, in 2 spatial dimensions, and prove global stability of a constant neutral background. In 2 dimensions our global solutions have relatively slow (strictly less than 1/t) pointwise decay and the system has a large (codimension 1) set of quadratic time resonances. The issue in such a situation is to solve the “division problem”. To control the solutions we use a combination of improved energy estimates in the Fourier space, an L 2 bound on an oscillatory integral operator, and Fourier analysis of the Duhamel formula.
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1114-3
      Issue No: Vol. 225, No. 2 (2017)
  • On Slowly Rotating Axisymmetric Solutions of the Euler–Poisson
    • Authors: Juhi Jang; Tetu Makino
      Pages: 873 - 900
      Abstract: Abstract We construct stationary axisymmetric solutions of the Euler–Poisson equations, which govern the internal structure of polytropic gaseous stars, with small constant angular velocity when the adiabatic exponent \({\gamma}\) belongs to \({(\frac65,\frac32]}\) . The problem is formulated as a nonlinear integral equation, and is solved by an iteration technique. By this method, not only do we get the existence, but we also clarify properties of the solutions such as the physical vacuum condition and the oblateness of the star surface.
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1115-2
      Issue No: Vol. 225, No. 2 (2017)
  • Simple Choreographies of the Planar Newtonian N -Body Problem
    • Authors: Guowei Yu
      Pages: 901 - 935
      Abstract: Abstract In the N-body problem, a simple choreography is a periodic solution, where all masses chase each other on a single loop. In this paper we prove that for the planar Newtonian N-body problem with equal masses, N ≧ 3, there are at least 2 N-3 +  2[(N-3)/2] different main simple choreographies. This confirms a conjecture given by Chenciner et al. (Geometry, mechanics, and dynamics. Springer, New York, pp 287–308, 2002). All the simple choreoagraphies we prove belong to the linear chain family.
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1116-1
      Issue No: Vol. 225, No. 2 (2017)
  • Optimal Quantitative Estimates in Stochastic Homogenization for Elliptic
           Equations in Nondivergence Form
    • Authors: Scott Armstrong; Jessica Lin
      Pages: 937 - 991
      Abstract: Abstract We prove quantitative estimates for the stochastic homogenization of linear uniformly elliptic equations in nondivergence form. Under strong independence assumptions on the coefficients, we obtain optimal estimates on the subquadratic growth of the correctors with stretched exponential-type bounds in probability. Like the theory of Gloria and Otto (Ann Probab 39(3):779–856, 2011; Ann Appl Probab 22(1):1–28, 2012) for divergence form equations, the arguments rely on nonlinear concentration inequalities combined with certain estimates on the Green’s functions and derivative bounds on the correctors. We obtain these analytic estimates by developing a C 1,1 regularity theory down to microscopic scale, which is of independent interest and is inspired by the C 0,1 theory introduced in the divergence form case by the first author and Smart (Ann Sci Éc Norm Supér (4) 49(2):423–481, 2016).
      PubDate: 2017-08-01
      DOI: 10.1007/s00205-017-1118-z
      Issue No: Vol. 225, No. 2 (2017)
  • Global Well-Posedness of the Two-Dimensional Exterior Navier–Stokes
           Equations for Non-decaying Data
    • Authors: Ken Abe
      Abstract: Abstract We prove global well-posedness of the two-dimensional exterior Navier–Stokes equations for bounded initial data with a finite Dirichlet integral, subject to the non-slip boundary condition. As an application, we construct global solutions for asymptotically constant initial data and arbitrary large Reynolds numbers.
      PubDate: 2017-07-31
      DOI: 10.1007/s00205-017-1157-5
  • Fractional White-Noise Limit and Paraxial Approximation for Waves in
           Random Media
    • Authors: Christophe Gomez; Olivier Pinaud
      Abstract: Abstract This work is devoted to the asymptotic analysis of high frequency wave propagation in random media with long-range dependence. We are interested in two asymptotic regimes, that we investigate simultaneously: the paraxial approximation, where the wave is collimated and propagates along a privileged direction of propagation, and the white-noise limit, where random fluctuations in the background are well approximated in a statistical sense by a fractional white noise. The fractional nature of the fluctuations is reminiscent of the long-range correlations in the underlying random medium. A typical physical setting is laser beam propagation in turbulent atmosphere. Starting from the high frequency wave equation with fast non-Gaussian random oscillations in the velocity field, we derive the fractional Itô–Schrödinger equation, that is, a Schrödinger equation with potential equal to a fractional white noise. The proof involves a fine analysis of the backscattering and of the coupling between the propagating and evanescent modes. Because of the long-range dependence, classical diffusion-approximation theorems for equations with random coefficients do not apply, and we therefore use moment techniques to study the convergence.
      PubDate: 2017-07-28
      DOI: 10.1007/s00205-017-1150-z
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