Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations

被引：13

作者：

Razafimandimby, Paul Andre ^{[1
]}

Sango, Mamadou ^{[2
]}

机构：

[1] Univ Leoben, Dept Math & Informat Technol, A-8700 Leoben, Austria

[2] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 05期

基金：

奥地利科学基金会; 新加坡国家研究基金会;

关键词：

Non-Newtonian fluids; MHD; Magnetohydrodynamics; Martingale solution; Asymptotic behavior; Long-time behavior; Exponential decay; NAVIER-STOKES EQUATIONS; ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; WEAK SOLUTIONS; ERGODICITY; DRIVEN; SYSTEM; FLUIDS; FLOWS; NOISE;

D O I：

10.1007/s00033-015-0534-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a system of nonlinear stochastic partial differential equations describing the motion of turbulent non-Newtonian media in the presence of fluctuating magnetic field. The system is basically obtained by a coupling of the dynamical equations of a non-Newtonian fluids having p-structure and the Maxwell equations. We mainly show the existence of weak martingale solutions and their exponential decay when time goes to infinity.

引用

页码：2197 / 2235

页数：39

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