Results 11 to 20 of about 676 (52)

Isometric Immersions via Compensated Compactness for Slowly Decaying Negative Gauss Curvature and Rough Data

, 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, Slemrod, Marshall   +1 more
core   +1 more source

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, Desjardins, Desjardins, Evans, Feireisl, Garofalon, Lions, Lions, Liu, Majda, Temam, Xiangao LIU, Yihang HAO   +12 more
core   +1 more source

Finite Volume Method for the Relativistic Burgers Model on a (1+1)-Dimensional de Sitter Spacetime

, 2016
Several generalizations of the relativistic models of Burgers equations have recently been established and developed on different spacetime geometries. In this work, we take into account the de Sitter spacetime geometry, introduce our relativistic model ...
Ceylan, Tuba, Okutmustur, Baver
core   +1 more source

Time decay estimates of solutions to a two-phase flow model in the whole space

Advances in Nonlinear Analysis
In 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
doaj   +1 more source

Global well-posedness for the dynamical Q-tensor model of liquid crystals

, 2015
In this paper, we consider a complex fluid modeling nematic liquid crystal flows, which is described by a system coupling Navier-Stokes equations with a parabolic Q-tensor system.
Ding, Shijin, Huang, Jinrui
core   +1 more source

Global strong solution of compressible flow with spherically symmetric data and density-dependent viscosities

Advances in Nonlinear Analysis
In this article, the Cauchy problem of a compressible Navier-Stokes system with density-dependent viscosities when the initial data are spherically symmetric is considered. Firstly, we construct the classical solution for the system in Ba(t)={r:0≤r≤a(t)}{
Guo Zhenhua, Xu Lei, Zhang Xueyao
doaj   +1 more source

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, Ducomet Bernard, Nečasová Šárka   +2 more
doaj   +1 more source

Initial boundary value problem and exponential stability for the planar magnetohydrodynamics equations with temperature-dependent viscosity

Advances in Nonlinear Analysis
In this study, we consider the initial boundary value problem of the planar magnetohydrodynamics (MHD) system when the viscous coefficients and heat conductivity depend on the temperature, which are assumed to be proportional to θα{\theta }^{\alpha }, α ...
Shang Zhaoyang, Yang Erjia
doaj   +1 more source

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
doaj   +1 more source

On steady solutions to a model of chemically reacting heat conducting compressible mixture with slip boundary conditions

, 2017
We consider a model of chemically reacting heat conducting compressible mixture. We investigate the corresponding system of partial differential equations in the steady regime with slip boundary conditions for the velocity and, in dependence on the model
Piasecki, Tomasz, Pokorný, Milan
core   +1 more source