Results 11 to 20 of about 817 (44)
Stability of weak solutions for the large-scale atmospheric equations
Journal of Inequalities and Applications, 2014 In this paper, we consider the Navier-Stokes equations and temperature equation arising from the evolution process of the atmosphere. Under certain assumptions imposed on the initial data, we show the L1-stability of weak solutions for the atmospheric ...
Ruxu Lian, Q. Zeng
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Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities [PDF]
, 2015 We consider a diffuse interface model for an incompressible isothermal mixture of two viscous Newtonian fluids with different densities in a bounded domain in two or three space dimensions. The model is the nonlocal version of the one recently derived by
Frigeri, Sergio
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On the well-posedness of the incompressible porous media equation in Triebel-Lizorkin spaces
Boundary Value Problems, 2014 In this paper, we prove the local well-posedness for the incompressible porous media equation in Triebel-Lizorkin spaces and obtain blow-up criterion of smooth solutions. The main tools we use are the Fourier localization technique and Bony’s paraproduct
Wenxin Yu, Yigang He
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Well-Posedness for the 2D Non-Autonomous Incompressible Fluid Flow in Lipschitz-like Domain
Journal of Partial Differential Equations, 2019 This paper is concerned with the global well-posedness and regularity of weak solutions for the 2D non-autonomous incompressible Navier-Stokes equation with a inhomogeneous boundary condition in Lipschitz-like domain.
Xin-Guang Yang and Shubin Wang sci
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Global Existence of Solutions of the Navier-Stokes-Maxwell System in Besov Spaces
Journal of Mathematical Study, 2019 The motion of hydro-magnetic fluid can be described by Navier-StokesMaxwell system. In this paper, we prove global existence and uniqueness for the solutions of Navier-Stokes-Maxwell system in 3 dimensional space for small data.
Haifeng Li
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Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation
, 2007 We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\alpha< 1/2$) dissipation $(-\Delta)^\alpha$ : If a Leray-Hopf weak solution is H\"{o}lder continuous $\theta\in C^\delta({\mathbb R}^2)$ with ...
Caffarelli +23 more
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, 2014 We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho +2 more
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, 2011 Motivated by an equation arising in magnetohydrodynamics, we prove that Holder continuous weak solutions of a nonlinear parabolic equation with singular drift velocity are classical solutions.
Friedlander, Susan, Vicol, Vlad
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Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition
, 2012 This article studies the partial vanishing viscosity limit of the 2D Boussinesq system in a bounded domain with a slip boundary condition. The result is proved globally in time by a logarithmic Sobolev inequality.2010 MSC: 35Q30; 76D03; 76D05; 76D07.
Liangbing Jin +3 more
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On the regularity criterion for the 3D generalized MHD equations in Besov spaces
Boundary Value Problems, 2014 In this paper, we consider the three-dimensional generalized MHD equations, a system of equations resulting from replacing the Laplacian −Δ in the usual MHD equations by a fractional Laplacian (−Δ)α.
Shuanghu Zhang, Hua Qiu
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