Results 31 to 40 of about 830 (55)
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
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Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces
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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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
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Stability on 3D Boussinesq system with mixed partial dissipation
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
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Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions
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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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
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
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Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces
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
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
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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
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