Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid

被引：12

作者：

Alekseev, G. V. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Appl Math, Far East Branch, Ul Radio 7, Vladivostok 690041, Russia

[2] Far East Fed Univ, Ul Sukhanova 8, Vladivostok 690950, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 08期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

magnetohydrodynamics; viscous fluid; inhomogeneous boundary value problem; mixed boundary conditions; solvability; uniqueness; NAVIER-STOKES EQUATIONS; STATIONARY EQUATIONS; SOLVABILITY; HYDRODYNAMICS;

D O I：

10.1134/S0965542516080029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inhomogeneous boundary value problem for the steady-state magnetohydrodynamic equations of viscous incompressible fluid under the Dirichlet conditions for the velocity and mixed boundary conditions for the electromagnetic field is considered. Sufficient conditions for the data that ensure the global solvability of this problem and the local uniqueness of its solution are found.

引用

页码：1426 / 1439

页数：14

共 26 条

[1] Solvability of the boundary value problem for stationary magnetohydrodynamic equations under mixed boundary conditions for the magnetic field
Alekseev, G.
Brizitskii, R.
[J]. APPLIED MATHEMATICS LETTERS, 2014, 32 : 13 - 18
[2] Solvability of the inhomogeneous mixed boundary value problem for stationary magnetohydrodynamic equations
Alekseev, G. V.
Brizitskii, R. V.
Pukhnachev, V. V.
[J]. DOKLADY PHYSICS, 2014, 59 (10) : 467 - 471
[3] Alekseev G. V., 2010, OPTIMIZATION STEADY
[4] Alekseev G. V., 2002, DALNEVOST MAT ZH, V3, P285
[5] Alekseev G.V., 2003, PRIKL MEKH TEKH FIZ, V44, P170
[6] Alekseev GV, 2004, DOKL MATH, V69, P310
[7] Solvability of control problems for stationary equations of magnetohydrodynamics of a viscous fluid
Alekseev, GV
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2004, 45 (02) : 197 - 213
[8] Some remarks on the characterization of the space of tangential traces of H(rot;Omega) and the construction of an extension operator
Alonso, A
Valli, A
[J]. MANUSCRIPTA MATHEMATICA, 1996, 89 (02) : 159 - 178
[9] The main inequality of 3D vector analysis
Auchmuty, G
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2004, 14 (01) : 79 - 103
[10] Finite-energy solutions of mixed 3D div-curl systems
Auchmuty, Giles
Alexander, James C.
[J]. QUARTERLY OF APPLIED MATHEMATICS, 2006, 64 (02) : 335 - 357

← 1 2 3 →