On a viscous two-fluid channel flow including evaporation
Open Mathematics, 2018 In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
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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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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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Global existence for two regularized MHD models in three space-dimension
, 2011 The global existence of solutions for the 3D incompressible Euler equations is a major open problem. For the 3D inviscid MHD system, the global existence is an open problem as well.
D. Catania, P. Secchi
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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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Existence of solutions to a class of quasilinear elliptic problems with nonlinear singular terms
Boundary Value Problems, 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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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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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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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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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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