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PHYSICS (592 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: 21)
Acta Scientifica Naturalis     Open Access   (Followers: 3)
Advanced Composite Materials     Hybrid Journal   (Followers: 71)
Advanced Functional Materials     Hybrid Journal   (Followers: 57)
Advanced Materials     Hybrid Journal   (Followers: 285)
Advanced Science Focus     Free   (Followers: 5)
Advanced Structural and Chemical Imaging     Open Access   (Followers: 2)
Advanced Studies in Theoretical Physics     Open Access  
Advances in Condensed Matter Physics     Open Access   (Followers: 10)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 1)
Advances in Geophysics     Full-text available via subscription   (Followers: 6)
Advances in High Energy Physics     Open Access   (Followers: 18)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2)
Advances in Materials Physics and Chemistry     Open Access   (Followers: 25)
Advances in Natural Sciences: Nanoscience and Nanotechnology     Open Access   (Followers: 29)
Advances in OptoElectronics     Open Access   (Followers: 5)
Advances In Physics     Hybrid Journal   (Followers: 20)
Advances in Physics : X     Open Access  
Advances in Physics Theories and Applications     Open Access   (Followers: 13)
Advances in Remote Sensing     Open Access   (Followers: 44)
AIP Advances     Open Access   (Followers: 9)
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)
Anales (Asociación Física Argentina)     Open Access  
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Annalen der Physik     Hybrid Journal   (Followers: 5)
Annales Geophysicae (ANGEO)     Open Access   (Followers: 19)
Annales Henri Poincaré     Hybrid Journal   (Followers: 3)
Annales UMCS, Physica     Open Access  
Annals of Nuclear Medicine     Hybrid Journal   (Followers: 4)
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: 13)
Applied Composite Materials     Hybrid Journal   (Followers: 49)
Applied Physics A     Hybrid Journal   (Followers: 9)
Applied Physics Frontier     Open Access   (Followers: 2)
Applied Physics Letters     Hybrid Journal   (Followers: 34)
Applied Physics Research     Open Access   (Followers: 5)
Applied Physics Reviews     Hybrid Journal   (Followers: 9)
Applied Radiation and Isotopes     Hybrid Journal   (Followers: 7)
Applied Spectroscopy     Full-text available via subscription   (Followers: 22)
Applied Spectroscopy Reviews     Hybrid Journal   (Followers: 3)
Archive for Rational Mechanics and Analysis     Hybrid Journal  
Asia Pacific Physics Newsletter     Hybrid Journal   (Followers: 1)
ASTRA Proceedings     Open Access   (Followers: 1)
Astronomy & Geophysics     Hybrid Journal   (Followers: 42)
Astronomy and Astrophysics Review     Hybrid Journal   (Followers: 22)
Astrophysical Journal Supplement Series     Full-text available via subscription   (Followers: 9)
Atoms     Open Access   (Followers: 1)
Attention, Perception & Psychophysics     Full-text available via subscription   (Followers: 12)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 9)
Axioms     Open Access   (Followers: 1)
Bangladesh Journal of Medical Physics     Open Access  
Bauphysik     Hybrid Journal   (Followers: 2)
Berkala Fisika Indonesia     Open Access  
Biomaterials     Hybrid Journal   (Followers: 48)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 21)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 37)
Biophysical Reviews     Hybrid Journal   (Followers: 1)
Biophysical Reviews and Letters     Hybrid Journal   (Followers: 3)
BMC Biophysics     Open Access   (Followers: 3)
Boson Journal of Modern Physics     Open Access   (Followers: 10)
Brazilian Journal of Physics     Hybrid Journal  
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 12)
Bulletin of Materials Science     Open Access   (Followers: 43)
Bulletin of the Atomic Scientists     Hybrid Journal   (Followers: 4)
Bulletin of the Lebedev Physics Institute     Hybrid Journal   (Followers: 1)
Bulletin of the Russian Academy of Sciences: Physics     Hybrid Journal   (Followers: 2)
Caderno Brasileiro de Ensino de Física     Open Access  
Canadian Journal of Physics     Hybrid Journal   (Followers: 12)
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: 14)
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 Computational Physics     Full-text available via subscription   (Followers: 2)
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
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: 212)
Composites Part B : Engineering     Hybrid Journal   (Followers: 247)
Computational Astrophysics and Cosmology     Open Access   (Followers: 1)
Computational Condensed Matter     Open Access  
Computational Materials Science     Hybrid Journal   (Followers: 22)
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: 7)
Condensed Matter     Open Access   (Followers: 1)
Contemporary Concepts of Condensed Matter Science     Full-text available via subscription  
Contemporary Physics     Hybrid Journal   (Followers: 26)
Continuum Mechanics and Thermodynamics     Hybrid Journal   (Followers: 8)
Contributions to Plasma Physics     Hybrid Journal   (Followers: 4)
COSPAR Colloquia Series     Full-text available via subscription   (Followers: 8)
Cryogenics     Hybrid Journal   (Followers: 53)
Current Applied Physics     Full-text available via subscription   (Followers: 4)
Current Science     Open Access   (Followers: 69)
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  
East European Journal of Physics     Open Access  
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: 46)
Energy Procedia     Open Access   (Followers: 2)
Engineering Failure Analysis     Hybrid Journal   (Followers: 67)
Engineering Fracture Mechanics     Hybrid Journal   (Followers: 24)
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   (Followers: 1)
European Journal of Physics     Full-text available via subscription   (Followers: 17)
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: 3)
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: 4)
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: 137)
Geoscience and Remote Sensing, IEEE Transactions on     Hybrid Journal   (Followers: 177)
Glass Physics and Chemistry     Hybrid Journal   (Followers: 4)
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: 4)
Handbook of Thermal Analysis and Calorimetry     Full-text available via subscription   (Followers: 1)
Haptics, IEEE Transactions on     Hybrid Journal   (Followers: 5)
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: 22)
IEEE Signal Processing Magazine     Full-text available via subscription   (Followers: 76)
IET Optoelectronics     Hybrid Journal   (Followers: 1)
Il Colle di Galileo     Open Access  
Image Analysis & Stereology     Open Access  
Imaging Science Journal     Hybrid Journal   (Followers: 3)
Indian Journal of Biochemistry and Biophysics (IJBB)     Open Access   (Followers: 2)
Indian Journal of Physics     Hybrid Journal   (Followers: 18)
Indian Journal of Pure & Applied Physics (IJPAP)     Open Access   (Followers: 37)
Indian Journal of Radio & Space Physics (IJRSP)     Open Access   (Followers: 47)
Industrial Electronics, IEEE Transactions on     Hybrid Journal   (Followers: 45)
Industry Applications, IEEE Transactions on     Hybrid Journal   (Followers: 16)
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: 12)
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: 4)
International Journal for Computational Methods in Engineering Science and Mechanics     Hybrid Journal   (Followers: 12)
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: 35)
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: 38)
International Journal of Fracture     Hybrid Journal   (Followers: 13)
International Journal of Geometric Methods in Modern Physics     Hybrid Journal   (Followers: 1)
International Journal of Heat and Fluid Flow     Hybrid Journal   (Followers: 35)
International Journal of Low Radiation     Hybrid Journal   (Followers: 1)
International Journal of Low-Carbon Technologies     Open Access   (Followers: 1)
International Journal of Mass Spectrometry     Hybrid Journal   (Followers: 17)

        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  [2350 journals]
  • Variational Problems with Long-Range Interaction
    • Authors: Nicola Soave; Hugo Tavares; Susanna Terracini; Alessandro Zilio
      Pages: 743 - 772
      Abstract: We consider a class of variational problems for densities that repel each other at a distance. Typical examples are given by the Dirichlet functional and the Rayleigh functional $$\begin{aligned} D(\mathbf{u}) = \sum_{i=1}^k \int_{\Omega} \nabla u_i ^2 \quad \text{or} \quad R(\mathbf{u}) = \sum_{i=1}^k \frac{\int_{\Omega} \nabla u_i ^2}{\int_{\Omega} {u_i^2}}, \end{aligned}$$ minimized in the class of \({H^1(\Omega,\mathbb{R}^k)}\) functions attaining some boundary conditions on ∂Ω, and subjected to the constraint $$\begin{aligned} \text{dist} (\{u_i > 0\}, \{u_j > 0\}) \ge 1 \quad \forall i \neq j. \end{aligned}$$ For these problems, we investigate the optimal regularity of the solutions, prove a free-boundary condition, and derive some preliminary results characterizing the free boundary \({\partial \{\sum_{i=1}^k u_i > 0\}}\) .
      PubDate: 2018-06-01
      DOI: 10.1007/s00205-017-1204-2
      Issue No: Vol. 228, No. 3 (2018)
  • A Variational Reduction and the Existence of a Fully Localised Solitary
           Wave for the Three-Dimensional Water-Wave Problem with Weak Surface
    • Authors: Boris Buffoni; Mark D. Groves; Erik Wahlén
      Pages: 773 - 820
      Abstract: Fully localised solitary waves are travelling-wave solutions of the three- dimensional gravity–capillary water wave problem which decay to zero in every horizontal spatial direction. Their existence has been predicted on the basis of numerical simulations and model equations (in which context they are usually referred to as ‘lumps’), and a mathematically rigorous existence theory for strong surface tension (Bond number \({\beta}\) greater than \({\frac{1}{3}}\) ) has recently been given. In this article we present an existence theory for the physically more realistic case \({0 < \beta < \frac{1}{3}}\) . A classical variational principle for fully localised solitary waves is reduced to a locally equivalent variational principle featuring a perturbation of the functional associated with the Davey–Stewartson equation. A nontrivial critical point of the reduced functional is found by minimising it over its natural constraint set.
      PubDate: 2018-06-01
      DOI: 10.1007/s00205-017-1205-1
      Issue No: Vol. 228, No. 3 (2018)
  • Periodic Solutions to a Cahn–Hilliard–Willmore Equation in the
    • Authors: Andrea Malchiodi; Rainer Mandel; Matteo Rizzi
      Pages: 821 - 866
      Abstract: In this paper we construct entire solutions to the phase field equation of Willmore type \({-\Delta(-\Delta u+W^{\prime}(u))+W^{\prime\prime}(u)(-\Delta u+W^{\prime}(u))=0}\) in the Euclidean plane, where W(u) is the standard double-well potential \({\frac{1}{4} (1-u^2)^2}\) . Such solutions have a non-trivial profile that shadows a Willmore planar curve, and converge uniformly to \({\pm 1}\) as \({x_2 \to \pm \infty}\) . These solutions give a counterexample to the counterpart of Gibbons’ conjecture for the fourth-order counterpart of the Allen–Cahn equation. We also study the x 2-derivative of these solutions using the special structure of Willmore’s equation.
      PubDate: 2018-06-01
      DOI: 10.1007/s00205-017-1206-0
      Issue No: Vol. 228, No. 3 (2018)
  • Approximation of a Brittle Fracture Energy with a Constraint of
    • Authors: Antonin Chambolle; Sergio Conti; Gilles A. Francfort
      Pages: 867 - 889
      Abstract: Linear fracture mechanics (or at least the initiation part of that theory) can be framed in a variational context as a minimization problem over an SBD type space. The corresponding functional can in turn be approximated in the sense of \({\Gamma}\) -convergence by a sequence of functionals involving a phase field as well as the displacement field. We show that a similar approximation persists if additionally imposing a non-interpenetration constraint in the minimization, namely that only nonnegative normal jumps should be permissible.
      PubDate: 2018-06-01
      DOI: 10.1007/s00205-017-1207-z
      Issue No: Vol. 228, No. 3 (2018)
  • Smoothing of Transport Plans with Fixed Marginals and Rigorous
           Semiclassical Limit of the Hohenberg–Kohn Functional
    • Authors: Codina Cotar; Gero Friesecke; Claudia Klüppelberg
      Pages: 891 - 922
      Abstract: We prove rigorously that the exact N-electron Hohenberg–Kohn density functional converges in the strongly interacting limit to the strictly correlated electrons (SCE) functional, and that the absolute value squared of the associated constrained search wavefunction tends weakly in the sense of probability measures to a minimizer of the multi-marginal optimal transport problem with Coulomb cost associated to the SCE functional. This extends our previous work for N = 2 (Cotar etal. in Commun Pure Appl Math 66:548–599, 2013). The correct limit problem has been derived in the physics literature by Seidl (Phys Rev A 60 4387–4395, 1999) and Seidl, Gorigiorgi and Savin (Phys Rev A 75:042511 1-12, 2007); in these papers the lack of a rigorous proofwas pointed out.We also give amathematical counterexample to this type of result, by replacing the constraint of given one-body density—an infinite dimensional quadratic expression in the wavefunction—by an infinite-dimensional quadratic expression in the wavefunction and its gradient. Connections with the Lawrentiev phenomenon in the calculus of variations are indicated.
      PubDate: 2018-06-01
      DOI: 10.1007/s00205-017-1208-y
      Issue No: Vol. 228, No. 3 (2018)
  • Regularity for Fully Nonlinear Elliptic Equations with Oblique Boundary
    • Authors: Dongsheng Li; Kai Zhang
      Pages: 923 - 967
      Abstract: In this paper, we obtain a series of regularity results for viscosity solutions of fully nonlinear elliptic equations with oblique derivative boundary conditions. In particular, we derive the pointwise C α, C 1,α and C 2,α regularity. As byproducts, we also prove the A–B–P maximum principle, Harnack inequality, uniqueness and solvability of the equations.
      PubDate: 2018-06-01
      DOI: 10.1007/s00205-017-1209-x
      Issue No: Vol. 228, No. 3 (2018)
  • Global Well-Posedness of the Incompressible Magnetohydrodynamics
    • Authors: Yuan Cai; Zhen Lei
      Pages: 969 - 993
      Abstract: This paper studies the Cauchy problem of the incompressible magnetohydro dynamic systems with or without viscosity ν. Under the assumption that the initial velocity field and the displacement of the initialmagnetic field froma non-zero constant are sufficiently small in certain weighted Sobolev spaces, the Cauchy problem is shown to be globally well-posed for all ν ≧ 0 and all spaces with dimension n ≧ 2. Such a result holds true uniformly in nonnegative viscosity parameters. The proof is based on the inherent strong null structure of the systems introduced by Lei (Commun Pure Appl Math 69(11):2072–2106, 2016) and the ghost weight technique introduced by Alinhac (Invent Math 145(3):597–618, 2001).
      PubDate: 2018-06-01
      DOI: 10.1007/s00205-017-1210-4
      Issue No: Vol. 228, No. 3 (2018)
  • Construction of a Blow-Up Solution for the Complex Ginzburg–Landau
           Equation in a Critical Case
    • Authors: Nejla Nouaili; Hatem Zaag
      Pages: 995 - 1058
      Abstract: We construct a solution for the Complex Ginzburg–Landau equation in a critical case which blows up in finite time T only at one blow-up point. We also give a sharp description of its profile. The proof relies on the reduction of the problem to a finite dimensional one, and the use of index theory to conclude. The interpretation of the parameters of the finite dimension problem in terms of the blow-up point and time allows us to prove the stability of the constructed solution.
      PubDate: 2018-06-01
      DOI: 10.1007/s00205-017-1211-3
      Issue No: Vol. 228, No. 3 (2018)
  • Freeform Lens Design for Scattering Data with General Radiant Fields
    • Authors: Cristian E. Gutiérrez; Ahmad Sabra
      Pages: 341 - 399
      Abstract: We show the existence of a lens, when its lower face is given, such that it refracts radiation emanating from a planar source, with a given field of directions, into the far field that preserves a given distribution of energies. Conditions are shown under which the lens obtained is physically realizable. It is shown that the upper face of the lens satisfies a pde of Monge-Ampère type.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1196-y
      Issue No: Vol. 228, No. 2 (2018)
  • An Obstacle Problem for Conical Deformations of Thin Elastic Sheets
    • Authors: Alessio Figalli; Connor Mooney
      Pages: 401 - 429
      Abstract: A developable cone (“d-cone”) is the shape made by an elastic sheet when it is pressed at its center into a hollow cylinder by a distance \({\varepsilon}\) . Starting from a nonlinear model depending on the thickness h > 0 of the sheet, we prove a \({\Gamma}\) -convergence result as \({h \rightarrow 0}\) to a fourth-order obstacle problem for curves in \({\mathbb{S}^2}\) . We then describe the exact shape of minimizers of the limit problem when \({\varepsilon}\) is small. In particular, we rigorously justify previous results in the physics literature.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1195-z
      Issue No: Vol. 228, No. 2 (2018)
  • Three-Dimensional Steady Supersonic Euler Flow Past a Concave Cornered
           Wedge with Lower Pressure at the Downstream
    • Authors: Aifang Qu; Wei Xiang
      Pages: 431 - 476
      Abstract: In this paper, we study the stability of the three-dimensional jet created by a supersonic flow past a concave cornered wedge with the lower pressure at the downstream. The gas beyond the jet boundary is assumed to be static. It can be formulated as a nonlinear hyperbolic free boundary problem in a cornered domain with two characteristic free boundaries of different types: one is the rarefaction wave, while the other one is the contact discontinuity, which can be either a vortex sheet or an entropy wave. A more delicate argument is developed to establish the existence and stability of the square jet structure under the perturbation of the supersonic incoming flow and the pressure at the downstream. The methods and techniques developed here are also helpful for other problems involving similar difficulties.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1197-x
      Issue No: Vol. 228, No. 2 (2018)
  • Two-Phase Anisotropic Free Boundary Problems and Applications to the
           Bellman Equation in 2D
    • Authors: L. Caffarelli; D. De Silva; O. Savin
      Pages: 477 - 493
      Abstract: We prove Lipschitz continuity of solutions to a class of rather general two-phase anisotropic free boundary problems in 2D and we classify global solutions. As a consequence, we obtain \({C^{2,1}}\) regularity of solutions to the Bellman equation in 2D.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1198-9
      Issue No: Vol. 228, No. 2 (2018)
  • Compressible Fluids Interacting with a Linear-Elastic Shell
    • Authors: Dominic Breit; Sebastian Schwarzacher
      Pages: 495 - 562
      Abstract: We study the Navier–Stokes equations governing the motion of an isentropic compressible fluid in three dimensions interacting with a flexible shell of Koiter type. The latter one constitutes a moving part of the boundary of the physical domain. Its deformation is modeled by a linearized version of Koiter’s elastic energy. We show the existence of weak solutions to the corresponding system of PDEs provided the adiabatic exponent satisfies \({\gamma > \frac{12}{7}}\) ( \({\gamma >1 }\) in two dimensions). The solution exists until the moving boundary approaches a self-intersection. This provides a compressible counterpart of the results in Lengeler and Růžičkaka (Arch Ration Mech Anal 211(1):205–255, 2014) on incompressible Navier–Stokes equations.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1199-8
      Issue No: Vol. 228, No. 2 (2018)
  • Gauge Momenta as Casimir Functions of Nonholonomic Systems
    • Authors: Luis C. García-Naranjo; James Montaldi
      Pages: 563 - 602
      Abstract: We consider nonholonomic systems with symmetry possessing a certain type of first integral which is linear in the velocities. We develop a systematic method for modifying the standard nonholonomic almost Poisson structure that describes the dynamics so that these integrals become Casimir functions after reduction. This explains a number of recent results on Hamiltonization of nonholonomic systems, and has consequences for the study of relative equilibria in such systems.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1200-6
      Issue No: Vol. 228, No. 2 (2018)
  • On Stationary Navier–Stokes Flows Around a Rotating Obstacle in
    • Authors: Mitsuo Higaki; Yasunori Maekawa; Yuu Nakahara
      Pages: 603 - 651
      Abstract: We study the two-dimensional stationary Navier–Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at spatial infinity are established when the rotation speed of the obstacle and the given exterior force are sufficiently small.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1201-5
      Issue No: Vol. 228, No. 2 (2018)
  • Acoustic Scattering from Corners, Edges and Circular Cones
    • Authors: Johannes Elschner; Guanghui Hu
      Pages: 653 - 690
      Abstract: Consider the time-harmonic acoustic scattering from a bounded penetrable obstacle imbedded in an isotropic homogeneous medium. The obstacle is supposed to possess a circular conic point or an edge point on the boundary in three dimensions and a planar corner point in two dimensions. The opening angles of cones and edges are allowed to be any number in \({(0,2\pi)\backslash\{\pi\}}\) . We prove that such an obstacle scatters any incoming wave non-trivially (that is, the far field patterns cannot vanish identically), leading to the absence of real non-scattering wavenumbers. Local and global uniqueness results for the inverse problem of recovering the shape of penetrable scatterers are also obtained using a single incoming wave. Our approach relies on the singularity analysis of the inhomogeneous Laplace equation in a cone.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1202-4
      Issue No: Vol. 228, No. 2 (2018)
  • Local Existence of MHD Contact Discontinuities
    • Authors: Alessandro Morando; Yuri Trakhinin; Paola Trebeschi
      Pages: 691 - 742
      Abstract: We prove the local-in-time existence of solutions with a contact discontinuity of the equations of ideal compressible magnetohydrodynamics (MHD) for two dimensional planar flows provided that the Rayleigh–Taylor sign condition \({[\partial p/\partial N] <0 }\) on the jump of the normal derivative of the pressure is satisfied at each point of the initial discontinuity. MHD contact discontinuities are characteristic discontinuities with no flow across the discontinuity for which the pressure, the magnetic field and the velocity are continuous whereas the density and the entropy may have a jump. This paper is a natural completion of our previous analysis (Morando et al. in J Differ Equ 258:2531–2571, 2015) where the well-posedness in Sobolev spaces of the linearized problem was proved under the Rayleigh–Taylor sign condition satisfied at each point of the unperturbed discontinuity. The proof of the resolution of the nonlinear problem given in the present paper follows from a suitable tame a priori estimate in Sobolev spaces for the linearized equations and a Nash–Moser iteration.
      PubDate: 2018-05-01
      DOI: 10.1007/s00205-017-1203-3
      Issue No: Vol. 228, No. 2 (2018)
  • Decay of the Boltzmann Equation with the Specular Boundary Condition in
           Non-convex Cylindrical Domains
    • Authors: Chanwoo Kim; Donghyun Lee
      Abstract: The basic question about the existence, uniqueness, and stability of the Boltzmann equation in general non-convex domains with the specular reflection boundary condition has been widely open. In this paper, we consider cylindrical domains whose cross section is generally non-convex analytic bounded planar domain. We establish a global well-posedness and asymptotic stability of the Boltzmann equation with the specular reflection boundary condition. Our method consists of the delicate construction of \({\epsilon}\) -tubular neighborhoods of billiard trajectories which bounce infinitely many times or hit the boundary tangentially at some moment, and sharp estimates of the size of such neighborhoods.
      PubDate: 2018-04-26
      DOI: 10.1007/s00205-018-1241-5
  • The Energy Measure for the Euler and Navier–Stokes Equations
    • Authors: Trevor M. Leslie; Roman Shvydkoy
      Abstract: The potential failure of energy equality for a solution u of the Euler or Navier–Stokes equations can be quantified using a so-called ‘energy measure’: the weak- \(*\) limit of the measures \({ u(t) ^2{\rm d}x}\) as t approaches the first possible blowup time. We show that membership of u in certain (weak or strong) \({L^q L^p}\) classes gives a uniform lower bound on the lower local dimension of \({\mathcal{E}}\) ; more precisely, it implies uniform boundedness of a certain upper s-density of \({\mathcal{E}}\) . We also define and give lower bounds on the ‘concentration dimension’ associated to \({\mathcal{E}}\) , which is the Hausdorff dimension of the smallest set on which energy can concentrate. Both the lower local dimension and the concentration dimension of \({\mathcal{E}}\) measure the departure from energy equality. As an application of our estimates, we prove that any solution to the 3-dimensional Navier–Stokes Equations which is Type-I in time must satisfy the energy equality at the first blowup time.
      PubDate: 2018-04-18
      DOI: 10.1007/s00205-018-1250-4
  • On the Measure and the Structure of the Free Boundary of the Lower
           Dimensional Obstacle Problem
    • Authors: Matteo Focardi; Emanuele Spadaro
      Abstract: We provide a thorough description of the free boundary for the lower dimensional obstacle problem in \({\mathbb{R}^{n+1}}\) up to sets of null \({\mathcal{H}^{n-1}}\) measure. In particular, we prove local finiteness of the (n−1)-dimensional Hausdorff measure of the free boundary, \({\mathcal{H}^{n-1}}\) -rectifiability of the free boundary, classification of the frequencies up to a set of Hausdorff dimension at most (n−2) and classification of the blow-ups at \({\mathcal{H}^{n-1}}\) almost every free boundary point.
      PubDate: 2018-04-05
      DOI: 10.1007/s00205-018-1242-4
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