Mixed Boundary Value Problems for Stationary Magnetohydrodynamic Equations of a Viscous Heat-Conducting Fluid

被引：15

作者：

Alekseev, Gennady ^{[1
,2
]}

机构：

[1] Far Eastern Fed Univ, 8 Sukhanova St, Vladivostok 690950, Russia

[2] Inst Appl Math FEB RAS, 7 Radio St, Vladivostok 690041, Russia

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2016年 / 18卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

Magnetohydrodynamics; inhomogeneous boundary value problem; mixed boundary conditions; solvability; uniqueness; Sobolev space with non integer order derivatives; NAVIER-STOKES EQUATIONS; BOUSSINESQ APPROXIMATION EXISTENCE; INCOMPRESSIBLE MAGNETOHYDRODYNAMICS; SHAPE SENSITIVITY; MAXWELL EQUATIONS; VECTOR-FIELDS; MHD FLOW; SOLVABILITY; UNIQUENESS; PRESSURE;

D O I：

10.1007/s00021-016-0253-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the boundary value problem for stationary magnetohydrodynamic equations of electrically and heat conducting fluid under inhomogeneous mixed boundary conditions for electromagnetic field and temperature and Dirichlet condition for the velocity. The problem describes the thermoelectromagnetic flow of a viscous fluid in 3D bounded domain with the boundary consisting of several parts with different thermo- and electrophysical properties. The global solvability of the boundary value problem is proved and the apriori estimates of the solution are derived. The sufficient conditions on the data are established which provide a local uniqueness of the solution.

引用

页码：591 / 607

页数：17

共 46 条

[1] Solvability of the boundary value problem for stationary magnetohydrodynamic equations under mixed boundary conditions for the magnetic field [J].