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Partial regularity of solution to generalized Navier-Stokes problem
Mácha Václav
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On weak-strong uniqueness property for full compressible magnetohydrodynamics flows
Yan Weiping
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Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of p-growth
Rocky Mountain Journal of Mathematics, 2022We prove a global mixed-norm gradient estimate in the framework of anisotropic Lorentz spaces to general elliptic equations of p-growth under weak regularity data.
H. Tian, Shenzhou Zheng
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Fractional powers of the Stokes operator with boundary conditions involving the pressure
Mathematische Nachrichten, 2019Since the pioneer work of Leray [21] and Hopf [15], Stokes and Navier-Stokes problems have been often studied with Dirichlet boundary condition. Nevertheless, in the opinion of engineers and physicists such a condition is not always realistic in ...
H. A. Baba
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, 2015
Our aim in this article is to study the existence and the uniqueness of solution for Caginalp hyperbolic phase-field system, with initial conditions, homogenous Dirichlet boundary conditions and polynomial growth potential in bounded and smooth domain ...
Mayeul Evrard Isseret Goyaud+3 more
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Our aim in this article is to study the existence and the uniqueness of solution for Caginalp hyperbolic phase-field system, with initial conditions, homogenous Dirichlet boundary conditions and polynomial growth potential in bounded and smooth domain ...
Mayeul Evrard Isseret Goyaud+3 more
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, 2016
In this article, we study the existence and the uniqueness of solution for Caginalp hyperbolic phase-field system, with initial conditions, Dirichlet boundary conditions and singular potential in bounded and smooth domain.
Urbain Cyriaque Mavoungou+3 more
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In this article, we study the existence and the uniqueness of solution for Caginalp hyperbolic phase-field system, with initial conditions, Dirichlet boundary conditions and singular potential in bounded and smooth domain.
Urbain Cyriaque Mavoungou+3 more
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Initial boundary value problems for viscoelastic Jeffreys fluids
, 2015We study the initial boundary value problem for the nonlinear system, which describes the dynamics of an incompressible viscoelastic uid with the Jereys constitutive law under the Navier slip boundary condition.
M. A. Artemov, E. Baranovskii
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Continuous dissipative Euler flows and a conjecture of Onsager
, 2012It is known since the pioneering works of Scheffer and Shnirelman that there are nontrivial distributional solutions to the Euler equations which are compactly supported in space and time.
Camillo De Lellis
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Existence of weak solution for a (n+1)x(n+1) nonsymmetric system of Keyfitz-Kranzer type
, 2017We establish a theorem on the existence of weak solution for the Cauchy problem associated with a (n + 1)× (n + 1) nonsymmetric system of Keyfitz-Kranzer type with specific source terms and bounded measurable initial data.
J. Hernandez, C. Gomez, Hernán Garzón
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Weak Solutions of Nonvariational Elliptic Equations
, 2011We discuss basic properties (uniqueness and regularity) of viscosity solutions to fully nonlinear elliptic equations of the form F (x,Du) = 0, which includes also linear elliptic equations of nondivergent form.
N. Nadirashvili, S. Vladut
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