Results 61 to 70 of about 172 (152)

Low Mach number and non-resistive limit of magnetohydrodynamic equations with large temperature variations in general bounded domains

Advances in Nonlinear Analysis
This article verifies the low Mach number and non-resistive limit of local strong solutions to non-isentropic compressible magnetohydrodynamic (MHD) equations in general three-dimensional bounded domains when the temperature variation is large but finite.
Liang Min, Ou Yaobin
doaj   +1 more source

Solutions to the Equations of Viscous Quantum Hydrodynamics in Multiple Dimensions

, 2008
We study the viscous model of quantum hydrodynamics in a bounded domain of space di-mension 1, 2, or 3. This model is a mixed order partial differential system with nonlocal and nonlinear terms for the particle density, current density and electric ...
Mathematik Informatik, Michael Dreher, Konstanzer Schriften   +2 more
core  

Stability of rarefaction wave for relaxed compressible Navier-Stokes equations with density-dependent viscosity

Advances in Nonlinear Analysis
This article shows time-asymptotic nonlinear stability of rarefaction wave to the Cauchy problem for the one-dimensional relaxed compressible Navier-Stokes equations with density-dependent viscosity.
Zhang Nangao
doaj   +1 more source

Solitary wave solutions of the delayed KP–BBM equation

Advances in Nonlinear Analysis
In this paper, a type of shallow water wave model referred to as the Kadomtsev–Petviashvili–Benjamin–Bona–Mahony (KP–BBM) equation is studied. Initially, the unperturbed form of the KP–BBM equation is examined.
Xia Yonghui, Zhang Haojie, Zheng Hang
doaj   +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
doaj   +1 more source

A regularity result for incompressible elastodynamics equations in the ALE coordinates

Advanced Nonlinear Studies
We 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
doaj   +1 more source

Energy-variational solutions for viscoelastic fluid models

Advances in Nonlinear Analysis
In this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo, Lasarzik Robert, Rocca Elisabetta   +2 more
doaj   +1 more source

Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach

Advances in Nonlinear Analysis, 2017
In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
doaj   +1 more source

Global solutions of aggregation equations and other flows with random diffusion. [PDF]

Probab Theory Relat Fields, 2023
Rosenzweig M, Staffilani G.
europepmc   +1 more source

Some explicit solutions of the three-dimensional Euler equations with a free surface. [PDF]

Math Ann, 2022
Martin CI.
europepmc   +1 more source