Results 31 to 40 of about 822 (59)
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
semanticscholar +1 more source
Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions
, 2011 The paper is concerned with the vanishing viscosity limit of the two-dimensional degenerate viscous lake equations when the Navier slip conditions are prescribed on the impermeable boundary of a simply connected bounded regular domain.
Bresch D +10 more
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Stability on 3D Boussinesq system with mixed partial dissipation
Advances in Nonlinear AnalysisIn the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia +3 more
doaj +1 more source
Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces
Advanced Nonlinear Studies, 2018 This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
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, 2015 In this paper, we prove some blow-up criteria for the 3D Boussinesq system with zero heat conductivity and MHD system and Landau-Lifshitz equations in a bounded domain.Comment: 20 ...
Fan, Jishan, Sun, Wenjun, Yin, Junping
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Nonlinear free fall of one-dimensional rigid bodies in hyperviscous fluids
, 2014 We consider the free fall of slender rigid bodies in a viscous incompressible fluid. We show that the dimensional reduction (DR), performed by substituting the slender bodies with one-dimensional rigid objects, together with a hyperviscous regularization
Giusteri, Giulio G. +2 more
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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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Global regularity for the 2D MHD equations with partial hyperresistivity
, 2017 This paper establishes the global existence and regularity for a system of the two-dimensional (2D) magnetohydrodynamic (MHD) equations with only directional hyperresistivity.
Dong, Bo-Qing, Li, Jingna, Wu, Jiahong
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Complex-valued Burgers and KdV-Burgers equations
, 2009 Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T, there exists an explicit initial data such that its corresponding solution of the Burgers ...
B. Birnir +17 more
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Blow-up criteria for 3D nematic liquid crystal models in a bounded domain
, 2013 In this paper we prove some blow-up criteria for two 3D density-dependent nematic liquid crystal models in a bounded domain.MSC:35Q30, 76D03, 76D09.
Jishan Fan, G. Nakamura, Yong Zhou
semanticscholar +1 more source