Results 21 to 30 of about 817 (44)

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, Clopeau T, Dongjuan Niu, Greenspan H, Jiahong Wu, Jiu Q Niu D, Levermore C D, Lions J L, Lions P L, Quansen Jiu, Yudovich V I   +10 more
core   +1 more source

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, F. Alzahrani, Tasawar Hayat, Yong Zhou   +3 more
semanticscholar   +2 more sources

Blow-up criteria for Boussinesq system and MHD system and Landau-Lifshitz equations in a bounded domain

, 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
core   +1 more source

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., Marzocchi, Alfredo, Musesti, Alessandro   +2 more
core   +1 more source

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
core   +1 more source

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, Bing-Yu Zhang, D. Levi, D. Levi, D. Li, G.H. Hardy, J. Wu, J. Wu, J.-M. Yuan, J.L. Bona, Jiahong Wu, Juan-Ming Yuan, M. Kerszberg, Netra Khanal, P. Poláčik, R. Kenyon, T. Liu, Y.C. Li   +17 more
core   +1 more source

Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity

, 2011
In this paper, we investigate the Cauchy problem for the incompressible magneto-micropolar fluid equations with partial viscosity in ℝn(n = 2, 3). We obtain a Beale-Kato-Majda type blow-up criterion of smooth solutions.MSC (2010): 76D03; 35Q35.
Yuzhu Wang, Yifang Li, Yin-Xia Wang
semanticscholar   +1 more source

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
semanticscholar   +1 more source

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

Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces

, 2013
In this paper, we consider the regularity criteria for the 3D MHD equations. It is proved that if ∂3(u+b)∈L21−r(0,T;X˙r)(0≤r≤1), or ∂3(u−b)∈L21−r(0,T;X˙r)(0≤r≤1), then the solution actually is ...
Zujin Zhang, Xiqin Ouyang, D. Zhong, Shulin Qiu   +3 more
semanticscholar   +1 more source