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  Subjects -> PHYSICS (Total: 803 journals)
    - ELECTRICITY AND MAGNETISM (9 journals)
    - MECHANICS (20 journals)
    - NUCLEAR PHYSICS (49 journals)
    - OPTICS (89 journals)
    - PHYSICS (583 journals)
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PHYSICS (583 journals)                  1 2 3 | Last

Showing 1 - 200 of 741 Journals sorted alphabetically
Acta Acustica united with Acustica     Full-text available via subscription   (Followers: 5)
Acta Mechanica     Hybrid Journal   (Followers: 15)
Acta Scientifica Naturalis     Open Access  
Advanced Composite Materials     Hybrid Journal   (Followers: 56)
Advanced Functional Materials     Hybrid Journal   (Followers: 41)
Advanced Materials     Hybrid Journal   (Followers: 203)
Advanced Science Focus     Free   (Followers: 2)
Advanced Structural and Chemical Imaging     Open Access   (Followers: 1)
Advances in Condensed Matter Physics     Open Access   (Followers: 6)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 2)
Advances in Geophysics     Full-text available via subscription   (Followers: 5)
Advances in High Energy Physics     Open Access   (Followers: 14)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2)
Advances in Materials Physics and Chemistry     Open Access   (Followers: 15)
Advances in Natural Sciences: Nanoscience and Nanotechnology     Open Access   (Followers: 11)
Advances in OptoElectronics     Open Access   (Followers: 3)
Advances In Physics     Hybrid Journal   (Followers: 7)
Advances in Physics Theories and Applications     Open Access   (Followers: 7)
Advances in Remote Sensing     Open Access   (Followers: 14)
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: 3)
American Journal of Signal Processing     Open Access   (Followers: 7)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 1)
Annalen der Physik     Hybrid Journal   (Followers: 3)
Annales Geophysicae (ANGEO)     Open Access   (Followers: 7)
Annales Henri PoincarĂ©     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  
Annual Reports on NMR Spectroscopy     Full-text available via subscription   (Followers: 2)
Annual Review of Analytical Chemistry     Full-text available via subscription   (Followers: 9)
Annual Review of Condensed Matter Physics     Full-text available via subscription   (Followers: 1)
Annual Review of Materials Research     Full-text available via subscription   (Followers: 5)
APL Materials     Open Access   (Followers: 7)
Applied Composite Materials     Hybrid Journal   (Followers: 40)
Applied Physics A     Hybrid Journal   (Followers: 6)
Applied Physics Frontier     Open Access   (Followers: 1)
Applied Physics Letters     Hybrid Journal   (Followers: 28)
Applied Physics Research     Open Access   (Followers: 4)
Applied Physics Reviews     Hybrid Journal   (Followers: 9)
Applied Radiation and Isotopes     Hybrid Journal   (Followers: 6)
Applied Remote Sensing Journal     Open Access   (Followers: 14)
Applied Spectroscopy     Full-text available via subscription   (Followers: 22)
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  
Astronomy & Geophysics     Hybrid Journal   (Followers: 5)
Astronomy and Astrophysics Review     Hybrid Journal   (Followers: 4)
Astrophysical Journal Supplement Series     Full-text available via subscription   (Followers: 4)
Atoms     Open Access  
Attention, Perception & Psychophysics     Full-text available via subscription   (Followers: 7)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Bangladesh Journal of Medical Physics     Open Access  
Bauphysik     Hybrid Journal   (Followers: 2)
Biomaterials     Hybrid Journal   (Followers: 38)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 15)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 23)
Biophysical Reviews     Hybrid Journal  
Biophysical Reviews and Letters     Hybrid Journal   (Followers: 2)
BMC Biophysics     Open Access   (Followers: 5)
Boson Journal of Modern Physics     Open Access  
Brazilian Journal of Physics     Hybrid Journal  
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 7)
Bulletin of Materials Science     Open Access   (Followers: 41)
Bulletin of the Atomic Scientists     Full-text available via subscription   (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 FĂ­sica     Open Access  
Canadian Journal of Physics     Full-text available via subscription   (Followers: 1)
Case Studies in Nondestructive Testing and Evaluation     Open Access   (Followers: 3)
Cells     Open Access   (Followers: 1)
CERN courier. International journal of high energy physics     Free   (Followers: 5)
Chemical Physics of Solid Surfaces     Full-text available via subscription  
Chinese Journal of Astronomy and Astrophysics     Full-text available via subscription   (Followers: 3)
Chinese Journal of Chemical Physics     Hybrid Journal   (Followers: 1)
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  
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: 1)
Communications in Numerical Methods in Engineering     Hybrid Journal   (Followers: 2)
Communications in Theoretical Physics     Full-text available via subscription   (Followers: 1)
Complex Analysis and its Synergies     Open Access   (Followers: 1)
Composites Part A : Applied Science and Manufacturing     Hybrid Journal   (Followers: 150)
Composites Part B : Engineering     Hybrid Journal   (Followers: 185)
Computational Astrophysics and Cosmology     Open Access  
Computational Condensed Matter     Open Access  
Computational Materials Science     Hybrid Journal   (Followers: 20)
Computational Mathematics and Mathematical Physics     Hybrid Journal   (Followers: 1)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computational Science and Discovery     Full-text available via subscription   (Followers: 1)
Computer Physics Communications     Hybrid Journal   (Followers: 2)
Contemporary Concepts of Condensed Matter Science     Full-text available via subscription  
Contemporary Physics     Hybrid Journal   (Followers: 15)
Continuum Mechanics and Thermodynamics     Hybrid Journal   (Followers: 5)
Contributions to Plasma Physics     Hybrid Journal   (Followers: 2)
COSPAR Colloquia Series     Full-text available via subscription   (Followers: 3)
Cryogenics     Hybrid Journal   (Followers: 29)
Current Applied Physics     Full-text available via subscription   (Followers: 4)
Current Science     Open Access   (Followers: 12)
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     Full-text available via subscription   (Followers: 3)
Egyptian Journal of Remote Sensing and Space Science     Open Access   (Followers: 13)
EJNMMI Physics     Open Access  
Electrospinning     Open Access  
Embedded Systems Letters, IEEE     Hybrid Journal   (Followers: 29)
Energy Procedia     Open Access   (Followers: 2)
Engineering Failure Analysis     Hybrid Journal   (Followers: 63)
Engineering Fracture Mechanics     Hybrid Journal   (Followers: 21)
Environmental Fluid Mechanics     Hybrid Journal   (Followers: 3)
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: 6)
European Journal of Physics Education     Open Access   (Followers: 3)
European Physical Journal - Applied Physics     Full-text available via subscription   (Followers: 7)
European Physical Journal C     Hybrid Journal  
Europhysics News     Open Access  
Experimental Mechanics     Hybrid Journal   (Followers: 20)
Experimental Methods in the Physical Sciences     Full-text available via subscription  
Experimental Techniques     Hybrid Journal   (Followers: 55)
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: 7)
Fortschritte der Physik/Progress of Physics     Hybrid Journal  
Frontiers in Physics     Open Access   (Followers: 4)
Frontiers of Materials Science     Hybrid Journal   (Followers: 3)
Frontiers of Physics     Hybrid Journal   (Followers: 1)
Fusion Engineering and Design     Hybrid Journal   (Followers: 8)
Geochemistry, Geophysics, Geosystems     Full-text available via subscription   (Followers: 23)
Geografiska Annaler, Series A: Physical Geography     Hybrid Journal   (Followers: 3)
Geophysical Research Letters     Full-text available via subscription   (Followers: 63)
Geoscience and Remote Sensing, IEEE Transactions on     Hybrid Journal   (Followers: 29)
Glass Physics and Chemistry     Hybrid Journal   (Followers: 3)
Global Journal of Physics     Open Access   (Followers: 1)
Granular Matter     Hybrid Journal   (Followers: 1)
Graphs and Combinatorics     Hybrid Journal   (Followers: 6)
Gravitation and Cosmology     Hybrid Journal  
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: 2)
Handbook of Thermal Analysis and Calorimetry     Full-text available via subscription  
Haptics, IEEE Transactions on     Hybrid Journal   (Followers: 2)
Heat Transfer - Asian Research     Hybrid Journal   (Followers: 7)
High Energy Density Physics     Hybrid Journal   (Followers: 1)
High Pressure Research: An International Journal     Hybrid Journal   (Followers: 3)
IEEE Journal of Quantum Electronics     Hybrid Journal   (Followers: 18)
IEEE Signal Processing Magazine     Full-text available via subscription   (Followers: 50)
IET Optoelectronics     Hybrid Journal   (Followers: 1)
Il Colle di Galileo     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: 3)
Indian Journal of Pure & Applied Physics (IJPAP)     Open Access   (Followers: 10)
Indian Journal of Radio & Space Physics (IJRSP)     Open Access   (Followers: 9)
Industrial Electronics, IEEE Transactions on     Hybrid Journal   (Followers: 18)
Industry Applications, IEEE Transactions on     Hybrid Journal   (Followers: 4)
Infinite Dimensional Analysis, Quantum Probability and Related Topics     Hybrid Journal  
InfraMatics     Open Access  
Infrared Physics & Technology     Hybrid Journal  
Intelligent Transportation Systems Magazine, IEEE     Full-text available via subscription   (Followers: 6)
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: 2)
International Journal for Computational Methods in Engineering Science and Mechanics     Hybrid Journal   (Followers: 10)
International Journal for Ion Mobility Spectrometry     Hybrid Journal   (Followers: 1)
International Journal for Simulation and Multidisciplinary Design Optimization     Full-text available via subscription  
International Journal of Abrasive Technology     Hybrid Journal   (Followers: 2)
International Journal of Aeroacoustics     Full-text available via subscription   (Followers: 26)
International Journal of Applied Electronics in Physics & Robotics     Open Access   (Followers: 3)
International Journal of Astronomy and Astrophysics     Open Access   (Followers: 4)
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: 36)
International Journal of Fracture     Hybrid Journal   (Followers: 10)
International Journal of Geometric Methods in Modern Physics     Hybrid Journal   (Followers: 1)
International Journal of Geophysics     Open Access   (Followers: 5)
International Journal of Heat and Fluid Flow     Hybrid Journal   (Followers: 31)
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: 16)
International Journal of Material Forming     Hybrid Journal  
International Journal of Materials and Product Technology     Hybrid Journal   (Followers: 4)
International Journal of Mechanical Sciences     Hybrid Journal   (Followers: 9)
International Journal of Mechanics and Materials in Design     Hybrid Journal   (Followers: 4)
International Journal of Medical Physics, Clinical Engineering and Radiation Oncology     Open Access   (Followers: 5)

        1 2 3 | Last

Journal Cover Archive for Rational Mechanics and Analysis
  [SJR: 3.472]   [H-I: 57]   [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  [2335 journals]
  • Hamiltonian Formulation for Wave-Current Interactions in Stratified
           Rotational Flows
    • Abstract: Abstract We show that the Hamiltonian framework permits an elegant formulation of the nonlinear governing equations for the coupling between internal and surface waves in stratified water flows with piecewise constant vorticity.
      PubDate: 2016-09-01
       
  • Uniform Regularity and Vanishing Dissipation Limit for the Full
           Compressible Navier–Stokes System in Three Dimensional Bounded
           Domain
    • Abstract: Abstract In the present paper, we study the uniform regularity and vanishing dissipation limit for the full compressible Navier–Stokes system whose viscosity and heat conductivity are allowed to vanish at different orders. The problem is studied in a three dimensional bounded domain with Navier-slip type boundary conditions. It is shown that there exists a unique strong solution to the full compressible Navier–Stokes system with the boundary conditions in a finite time interval which is independent of the viscosity and heat conductivity. The solution is uniformly bounded in \({W^{1,\infty}}\) and is a conormal Sobolev space. Based on such uniform estimates, we prove the convergence of the solutions of the full compressible Navier–Stokes to the corresponding solutions of the full compressible Euler system in \({L^\infty(0,T; L^2)}\) , \({L^\infty(0,T; H^{1})}\) and \({L^\infty([0,T]\times\Omega)}\) with a rate of convergence.
      PubDate: 2016-09-01
       
  • Ill-Posedness of the Hydrostatic Euler and Singular Vlasov Equations
    • Abstract: In this paper, we develop an abstract framework to establish ill-posedness, in the sense of Hadamard, for some nonlocal PDEs displaying unbounded unstable spectra. We apply this to prove the ill-posedness for the hydrostatic Euler equations as well as for the kinetic incompressible Euler equations and the Vlasov–Dirac–Benney system.
      PubDate: 2016-09-01
       
  • Finite Time Singularity of the Nematic Liquid Crystal Flow in Dimension
           Three
    • Abstract: Abstract In this paper, we consider the initial and boundary value problem of a simplified nematic liquid crystal flow in dimension three and construct two examples of finite time singularity. The first example is constructed within the class of axisymmetric solutions, while the second example is constructed for any generic initial data \({(u_0,d_0)}\) that has sufficiently small energy, and \({d_0}\) has a nontrivial topology.
      PubDate: 2016-09-01
       
  • Impermeability Through a Perforated Domain for the Incompressible two
           dimensional Euler Equations
    • Abstract: Abstract We study the asymptotic behavior of the motion of an ideal incompressible fluid in a perforated domain. The porous medium is composed of inclusions of size \({\varepsilon}\) separated by distances \({d_{\varepsilon}}\) and the fluid fills the exterior. If the inclusions are distributed on the unit square, the asymptotic behavior depends on the limit of \({\frac{d_{\varepsilon}}\varepsilon}\) when \({\varepsilon}\) goes to zero. If \({\frac{d_{\varepsilon}}\varepsilon \to \infty}\) , then the limit motion is not perturbed by the porous medium, namely, we recover the Euler solution in the whole space. If, on the contrary, \({\frac{d_{\varepsilon}}\varepsilon \to 0}\) , then the fluid cannot penetrate the porous region, namely, the limit velocity verifies the Euler equations in the exterior of an impermeable square. If the inclusions are distributed on the unit segment then the behavior depends on the geometry of the inclusion: it is determined by the limit of \({\frac{d_{\varepsilon}}{\varepsilon^{2+\frac1\gamma}}}\) where \({\gamma \in (0,\infty]}\) is related to the geometry of the lateral boundaries of the obstacles. If \({\frac{d_{\varepsilon}}{\varepsilon^{2+\frac1\gamma}} \to \infty}\) , then the presence of holes is not felt at the limit, whereas an impermeable wall appears if this limit is zero. Therefore, for a distribution in one direction, the critical distance depends on the shape of the inclusions; in particular, it is equal to \({\varepsilon^{3}}\) for balls.
      PubDate: 2016-09-01
       
  • Stochastic Homogenization of Nonconvex Unbounded Integral Functionals with
           Convex Growth
    • Abstract: Abstract We consider the well-trodden ground of the problem of the homogenization of random integral functionals. When the integrand has standard growth conditions, the qualitative theory is well-understood. When it comes to unbounded functionals, that is, when the domain of the integrand is not the whole space and may depend on the space-variable, there is no satisfactory theory. In this contribution we develop a complete qualitative stochastic homogenization theory for nonconvex unbounded functionals with convex growth. We first prove that if the integrand is convex and has p-growth from below (with p > d, the dimension), then it admits homogenization regardless of growth conditions from above. This result, that crucially relies on the existence and sublinearity at infinity of correctors, is also new in the periodic case. In the case of nonconvex integrands, we prove that a similar homogenization result holds provided that the nonconvex integrand admits a two-sided estimate by a convex integrand (the domain of which may depend on the space variable) that itself admits homogenization. This result is of interest to the rigorous derivation of rubber elasticity from polymer physics, which involves the stochastic homogenization of such unbounded functionals.
      PubDate: 2016-09-01
       
  • On the Regularity Set and Angular Integrability for the
           Navier–Stokes Equation
    • Abstract: Abstract We investigate the size of the regular set for suitable weak solutions of the Navier–Stokes equation, in the sense of Caffarelli–Kohn–Nirenberg (Commun Pure Appl Math 35:771–831, 1982). We consider initial data in weighted Lebesgue spaces with mixed radial-angular integrability, and we prove that the regular set increases if the data have higher angular integrability, invading the whole half space \({\{t > 0\}}\) in an appropriate limit. In particular, we obtain that if the \({L^{2}}\) norm with weight \({ x ^{-\frac12}}\) of the data tends to 0, the regular set invades \({\{t > 0\}}\) ; this result improves Theorem D of Caffarelli et al. (Commun Pure Appl Math 35:771–831, 1982).
      PubDate: 2016-09-01
       
  • Linear Inviscid Damping for Monotone Shear Flows in a Finite Periodic
           Channel, Boundary Effects, Blow-up and Critical Sobolev Regularity
    • Abstract: Abstract In a previous article (Zillinger, Linear inviscid damping for monotone shear flows, 2014), we have established linear inviscid damping for a large class of monotone shear flows in a finite periodic channel and have further shown that boundary effects asymptotically lead to the formation of singularities of derivatives of the solution as \({t \rightarrow \infty}\) . As the main results of this article, we provide a detailed description of the singularity formation and establish stability in all sub-critical fractional Sobolev spaces and blow-up in all super-critical spaces. Furthermore, we discuss the implications of the blow-up to the problem of nonlinear inviscid damping in a finite periodic channel, where high regularity would be essential to control nonlinear effects.
      PubDate: 2016-09-01
       
  • Global Well-Posedness and Decay Rates of Strong Solutions to a
           Non-Conservative Compressible Two-Fluid Model
    • Abstract: Abstract In this paper, we consider a compressible two-fluid model with constant viscosity coefficients and unequal pressure functions \({P^+\neq P^-}\) . As mentioned in the seminal work by Bresch, Desjardins, et al. (Arch Rational Mech Anal 196:599–629, 2010) for the compressible two-fluid model, where \({P^+=P^-}\) (common pressure) is used and capillarity effects are accounted for in terms of a third-order derivative of density, the case of constant viscosity coefficients cannot be handled in their settings. Besides, their analysis relies on a special choice for the density-dependent viscosity [refer also to another reference (Commun Math Phys 309:737–755, 2012) by Bresch, Huang and Li for a study of the same model in one dimension but without capillarity effects]. In this work, we obtain the global solution and its optimal decay rate (in time) with constant viscosity coefficients and some smallness assumptions. In particular, capillary pressure is taken into account in the sense that \({\Delta P=P^+ - P^-=f\neq 0}\) where the difference function \({f}\) is assumed to be a strictly decreasing function near the equilibrium relative to the fluid corresponding to \({P^-}\) . This assumption plays an key role in the analysis and appears to have an essential stabilization effect on the model in question.
      PubDate: 2016-09-01
       
  • Some Inverse Problems in Periodic Homogenization of Hamilton-Jacobi
           Equations
    • Abstract: Abstract We look at the effective Hamiltonian \({\overline{H}}\) associated with the Hamiltonian \({H(p,x)=H(p)+V(x)}\) in the periodic homogenization theory. Our central goal is to understand the relation between \({V}\) and \({\overline{H}}\) . We formulate some inverse problems concerning this relation. Such types of inverse problems are, in general, very challenging. In this paper, we discuss several special cases in both convex and nonconvex settings.
      PubDate: 2016-09-01
       
  • The Blow Up Method for Brakke Flows: Networks Near Triple Junctions
    • Abstract: Abstract We introduce a parabolic blow-up method to study the asymptotic behavior of a Brakke flow of planar networks (that is a 1-dimensional Brakke flow in a two dimensional region) weakly close in a space-time region to a static multiplicity 1 triple junction J. We show that such a network flow is regular in a smaller space-time region, in the sense that it consists of three curves coming smoothly together at a single point at 120 \({^{\circ}}\) angles, staying smoothly close to J and moving smoothly. Using this result and White’s stratification theorem, we deduce that whenever a Brakke flow of networks in a space-time region \({{\mathcal {R}}}\) has no static tangent flow with density \({{\geqq}2}\) , there exists a closed subset \({{\Sigma \subset {\mathcal {R}}}}\) of parabolic Hausdorff dimension at most 1 such that the flow is classical in \({{\mathcal {R}}\backslash\Sigma}\) , that is near every point in \({{\mathcal {R}}\backslash\Sigma}\) , the flow, if non-empty, consists of either an embedded curve moving smoothly or three embedded curves meeting smoothly at a single point at 120 \({^{\circ}}\) angles and moving smoothly. In particular, such a flow is classical at all times except for a closed set of times of ordinary Hausdorff dimension at most \({\frac{1}{2}}\) .
      PubDate: 2016-09-01
       
  • Global Strong Well-Posedness of the Three Dimensional Primitive Equations
           in $${L^p}$$ L p -Spaces
    • Abstract: Abstract In this article, an \({L^p}\) -approach to the primitive equations is developed. In particular, it is shown that the three dimensional primitive equations admit a unique, global strong solution for all initial data \({a \in [X_p,D(A_p)]_{1/p}}\) provided \({p \in [6/5,\infty)}\) . To this end, the hydrostatic Stokes operator \({A_p}\) defined on \({X_p}\) , the subspace of \({L^p}\) associated with the hydrostatic Helmholtz projection, is introduced and investigated. Choosing \({p}\) large, one obtains global well-posedness of the primitive equations for strong solutions for initial data \({a}\) having less differentiability properties than \({H^1}\) , hereby generalizing in particular a result by Cao and Titi (Ann Math 166:245–267, 2007) to the case of non-smooth initial data.
      PubDate: 2016-09-01
       
  • A New Contraction Family for Porous Medium and Fast Diffusion Equations
    • Abstract: Abstract In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations. This approach provides new a priori estimates on the solutions, even for the standard heat equation.
      PubDate: 2016-08-01
       
  • On the First Eigenvalues of Free Vibrating Membranes in Conformal Regular
           Domains
    • Abstract: Abstract In 1961 G. Polya published a paper about the eigenvalues of vibrating membranes. The “free vibrating membrane” corresponds to the Neumann–Laplace operator in bounded plane domains. In this paper we obtain estimates for the first non-trivial eigenvalue of this operator in a large class of domains that we call conformal regular domains. This class includes convex domains, John domains etc. On the basis of our estimates we conjecture that the eigenvalues of the Neumann– Laplace operator depend on the hyperbolic metrics of plane domains. We propose a new method for the estimates which is based on weighted Poincaré–Sobolev inequalities, obtained by the authors recently.
      PubDate: 2016-08-01
       
  • A Parabolic Problem with a Fractional Time Derivative
    • Abstract: Abstract We study regularity for a parabolic problem with fractional diffusion in space and a fractional time derivative. Our main result is a De Giorgi–Nash–Moser Hölder regularity theorem for solutions in a divergence form equation. We also prove results regarding existence, uniqueness, and higher regularity in time.
      PubDate: 2016-08-01
       
  • Exponential Stability of Slowly Decaying Solutions to the
           Kinetic-Fokker-Planck Equation
    • Abstract: The aim of the present paper is twofold: We carry on with developing an abstract method for deriving decay estimates on the semigroup associated to non-symmetric operators in Banach spaces as introduced in [10]. We extend the method so as to consider the shrinkage of the functional space. Roughly speaking, we consider a class of operators written as a dissipative part plus a mild perturbation, and we prove that if the associated semigroup satisfies a decay estimate in some reference space then it satisfies the same decay estimate in another—smaller or larger—Banach space under the condition that a certain iterate of the “mild perturbation” part of the operator combined with the dissipative part of the semigroup maps the larger space to the smaller space in a bounded way. The cornerstone of our approach is a factorization argument, reminiscent of the Dyson series. We apply this method to the kinetic Fokker-Planck equation when the spatial domain is either the torus with periodic boundary conditions, or the whole space with a confinement potential. We then obtain spectral gap estimates for the associated semigroup for various metrics, including Lebesgue norms, negative Sobolev norms, and the Monge-Kantorovich-Wasserstein distance W 1.
      PubDate: 2016-08-01
       
  • On the Impossibility of Finite-Time Splash Singularities for Vortex Sheets
    • Abstract: Abstract In fluid dynamics, an interface splash singularity occurs when a locally smooth interface self-intersects in finite time. By means of elementary arguments, we prove that such a singularity cannot occur in finite time for vortex sheet evolution, that is for the two-phase incompressible Euler equations. We prove this by contradiction; we assume that a splash singularity does indeed occur in finite time. Based on this assumption, we find precise blow-up rates for the components of the velocity gradient which, in turn, allow us to characterize the geometry of the evolving interface just prior to self-intersection. The constraints on the geometry then lead to an impossible outcome, showing that our assumption of a finite-time splash singularity was false.
      PubDate: 2016-08-01
       
  • Two Dimensional Subsonic Euler Flows Past a Wall or a Symmetric Body
    • Abstract: Abstract The existence and uniqueness of two dimensional steady compressible Euler flows past a wall or a symmetric body are established. More precisely, given positive convex horizontal velocity in the upstream, there exists a critical value \({\rho_{\rm cr}}\) such that if the incoming density in the upstream is larger than \({\rho_{\rm cr}}\) , then there exists a subsonic flow past a wall. Furthermore, \({\rho_{\rm cr}}\) is critical in the sense that there is no such subsonic flow if the density of the incoming flow is less than \({\rho_{\rm cr}}\) . The subsonic flows possess large vorticity and positive horizontal velocity above the wall except at the corner points on the boundary. Moreover, the existence and uniqueness of a two dimensional subsonic Euler flow past a symmetric body are also obtained when the incoming velocity field is a general small perturbation of a constant velocity field and the density of the incoming flow is larger than a critical value. The asymptotic behavior of the flows is obtained with the aid of some integral estimates for the difference between the velocity field and its far field states.
      PubDate: 2016-08-01
       
  • Local Existence of Weak Solutions to Kinetic Models of Granular Media
    • Abstract: Abstract We prove in any dimension \({d \geqq 1}\) a local in time existence of weak solutions to the Cauchy problem for the kinetic equation of granular media, $$\partial_t f+v\cdot \nabla_x f = {div}_v[f(\nabla W *_v f)]$$ when the initial data are nonnegative, integrable and bounded functions with compact support in velocity, and the interaction potential \({W}\) is a \({C^2({\mathbb{R}}^d)}\) radially symmetric convex function. Our proof is constructive and relies on a splitting argument in position and velocity, where the spatially homogeneous equation is interpreted as the gradient flow of a convex interaction energy with respect to the quadratic Wasserstein distance. Our result generalizes the local existence result obtained by Benedetto et al. (RAIRO Modél Math Anal Numér 31(5):615–641, 1997) on the one-dimensional model of this equation for a cubic power-law interaction potential.
      PubDate: 2016-08-01
       
  • Magnetic WKB Constructions
    • Abstract: Abstract This paper is devoted to the semiclassical magnetic Laplacian. Until now WKB expansions for the eigenfunctions were only established in the presence of a non-zero electric potential. Here we tackle the pure magnetic case. Thanks to Feynman–Hellmann type formulas and coherent states decomposition, we develop here a magnetic Born–Oppenheimer theory. Exploiting the multiple scales of the problem, we are led to solve an effective eikonal equation in pure magnetic cases and to obtain WKB expansions.We also investigate explicit examples for which we can improve our general theorem: global WKB expansions, quasi-optimal Agmon estimates and upper bound of the tunelling effect (in symmetric cases).We also apply our strategy to get more accurate descriptions of the eigenvalues and eigenfunctions in a wide range of situations analyzed in the last two decades.
      PubDate: 2016-08-01
       
 
 
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