Results 31 to 40 of about 830 (55)

An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations

open access: yes, 2014
We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho   +2 more
core   +1 more source

Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces

open access: yesAdvanced 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

Higher regularity of Holder continuous solutions of parabolic equations with singular drift velocities

open access: yes, 2011
Motivated by an equation arising in magnetohydrodynamics, we prove that Holder continuous weak solutions of a nonlinear parabolic equation with singular drift velocity are classical solutions.
Friedlander, Susan, Vicol, Vlad
core   +1 more source

Stability on 3D Boussinesq system with mixed partial dissipation

open access: yesAdvances 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   +3 more
doaj   +1 more source

Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions

open access: yes, 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
core   +1 more source

A Posteriori Error Estimation of Spectral and Spectral Element Methods for the Stokes/Darcy Coupled Problem

open access: yes, 2014
In this paper, we carry out an a posteriori error analysis of Legendre spectral approximations to the Stokes/Darcy coupled equations. The spectral approximations are based on a weak formulation of the coupled equations by using the Beavers-Joseph ...
Weiwei Wang, Chuanju Xu
semanticscholar   +1 more source

Incompressible limit for the compressible viscoelastic fluids in critical space

open access: yesAdvances in Nonlinear Analysis
In 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
doaj   +1 more source

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

open access: yes, 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   +3 more
semanticscholar   +1 more source

Blow-up criteria for 3D nematic liquid crystal models in a bounded domain

open access: yes, 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

An approximation of the axially symmetric flow through a pipe-like domain with a moving part of a boundary

open access: yes, 2013
The purpose of this work is to study the existence of solutions for approximation of an unsteady fluid-structure interaction problem. We consider a perturbed Navier-Stokes equation in the cylindrical coordinate system assuming axially symmetric flow.
J. Filo, V. Pluschke
semanticscholar   +1 more source

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