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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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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A regularity criterion for the Cahn-Hilliard-Boussinesq system with zero viscosity
Journal of Inequalities and Applications, 2014 This paper studies a coupled Cahn-Hilliard-Boussinesq system with zero viscosity. We prove a regularity criterion in terms of vorticity in the homogeneous Besov space B˙∞,∞0. MSC:35Q30, 76D03, 76D05, 76D07.
Caochuan Ma +3 more
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Some remarks on gauge choice and Navier-Stokes equations
, 2016 This paper proves some regularity criteria for Navier-Stokes system with temporal gauge or Lorenz gauge.
Jishan Fan, T. Ozawa
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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, Huaijun Qiu
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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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Existence of solutions to a class of quasilinear elliptic problems with nonlinear singular terms
, 2013 The authors of this paper deal with the existence of weak solutions to the homogenous boundary value problem for the equation −div(|∇u|p−2∇u)=f(x)uα with f∈Lm(Ω) and α⩾1.
Ying Chu, Wenjie Gao
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Incompressible limit for the compressible viscoelastic fluids in critical space
Advances in Nonlinear AnalysisIn this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
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