Results 11 to 20 of about 651 (29)
, 2014 In this paper, we investigate the analytical solutions of the compressible Navier-Stokes equations with dependent-density viscosity. By using the characteristic method, we successfully obtain a class of drifting solutions with elliptic symmetry for the ...
An, Hongli, Yuen, Manwai
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Global existence of a radiative Euler system coupled to an electromagnetic field
Advances in Nonlinear Analysis, 2018 We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrodynamics, namely, the 3D radiative compressible Euler system coupled to an electromagnetic field.
Blanc Xavier +2 more
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Regularity Criterion to the axially symmetric Navier-Stokes Equations
, 2015 Smooth solutions to the axially symmetric Navier-Stokes equations obey the following maximum principle:$\|ru_\theta(r,z,t)\|_{L^\infty}\leq\|ru_\theta(r,z,0)\|_{L^\infty}.$ We first prove the global regularity of solutions if $\|ru_\theta(r,z,0)\|_{L ...
Wei, Dongyi
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Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions
Advances in Nonlinear Analysis, 2017 We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
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, 2015 In this paper the method of compensated compactness is applied to the problem of isometric immersion of a two dimensional Riemannian manifold with negative Gauss curvature into three dimensional Euclidean space.
Christoforou, Cleopatra +1 more
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Time decay estimates of solutions to a two-phase flow model in the whole space
Advances in Nonlinear AnalysisIn this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation.
Wu Yakui, Wu Qiong, Zhang Yue
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Incompressible Limit of a Compressible Liquid Crystals System
, 2013 This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space $\mathbb{R}^{\mathbb{N}}$ and a bounded domain of $\mathbb{R}^{\mathbb{N ...
Chu +12 more
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A regularity result for incompressible elastodynamics equations in the ALE coordinates
Advanced Nonlinear StudiesWe consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
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A possible counterexample to wellposedness of entropy solutions and to Godunov scheme convergence
, 2005 A particular case of initial data for the two-dimensional Euler equations is studied numerically. The results show that the Godunov method does not always converge to the physical solution, at least not on feasible grids.
Elling, Volker
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Eulerian dynamics with a commutator forcing III. Fractional diffusion of order $0<\alpha<1$
, 2017 We continue our study of hydrodynamic models of self-organized evolution of agents with singular interaction kernel $\phi(x) = |x|^{-(1+\alpha)}$. Following our works \cite{ST2017a,ST2017b} which focused on the range $1\leq \alpha
Shvydkoy, Roman, Tadmor, Eitan
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