Results 31 to 40 of about 139 (72)

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
doaj   +1 more source

Stability on 3D Boussinesq system with mixed partial dissipation

Advances in Nonlinear Analysis
In 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, Liu Sen, Guo Xiaochuan, You Ruiqi   +3 more
doaj   +1 more source

A remark on attractors for the 2D Navier-Stokes equations with weak damping and distributed delay

, 2015
We shall show the long-time behavior such as the existence of attractors for the 2D Navier-Stokes equation with weak damping, translation bounded functions class and distributed delay.
Keqin Su, Yadi Wang, Wengang Zhang
semanticscholar   +1 more source

Remark on large time behavior for the 2D Navier-Stokes equations with weak damping and continuous delay

, 2015
We shall show the existence of pullback attractors and upper semicontinuity property for the 2D Navier-Stokes equation with weak damping, perturbation external force and continuous delay.
Keqin Su, Yadi Wang, Yimin Cao
semanticscholar   +1 more source

A priori estimates for free boundary fluid-structure interaction models of magnetohydrodynamic flows with diffusion

Advances in Nonlinear Analysis
A 3D free-boundary nonlinear fluid-structure interaction (FSI) problem in which the elastic body fully immersed in the magnetofluid is considered. The fluid is modeled by the Magnetohydrodynamic (MHD) equations with diffusion while the structure is ...
Shen Lin, Wang Shu
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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

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

A blow-up criterion for the 3d full magnetohydrodynamic equations

, 2014
In this paper we establish a regularity criterion for the 3D incompressible full MHD equations with variable viscosity.
Jishan Fan, T. Ozawa
semanticscholar   +1 more source

Global well-posedness of a nonlinear Boussinesq-fluid-structure interaction system with large initial data

Advances in Nonlinear Analysis
In this article, we consider the global well-posedness of the initial-boundary value problem to a nonlinear Boussinesq-fluid-structure interaction system, which describes the motion of an incompressible Boussinesq-fluid surrounded by an elastic structure
Zhang Jie, Wang Shu, Shen Lin
doaj   +1 more source

On various models describing behaviour of thermoviscoelastic rate-type fluids

Advances in Nonlinear Analysis
Viscoelastic rate-type fluid models are essential for describing the behavior of a wide range of complex materials, with applications in fields such as engineering, biomaterials, and medicine.
Bulíček Miroslav, Woźnicki Jakub
doaj   +1 more source