Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations
作者： Paul André Razafimandimby , Mamadou Sango
DOI: 10.1007/S00033-015-0534-X
关键词: Stochastic modelling 、 Maxwell's equations 、 Mathematical analysis 、 Dynamical systems theory 、 Inhomogeneous electromagnetic wave equation 、 Physics 、 Stochastic partial differential equation 、 Nonlinear system 、 Independent equation 、 Classical mechanics 、 Martingale (probability theory)
摘要: In this paper, we study a system of nonlinear stochastic partial differential equations describing the motion turbulent non-Newtonian media in presence fluctuating magnetic field. The is basically obtained by coupling dynamical fluids having p-structure and Maxwell equations. We mainly show existence weak martingale solutions their exponential decay when time goes to infinity.
springer.com
up.ac.za
harvard.edu
sci-hub.st 参考文章(74)
S. Peszat, Jerzy Zabczyk, Stochastic Partial Differential Equations with Lévy Noise: An Evolution Equation Approach ,(2007)
E. Pardoux, Équations aux dérivées partielles stochastiques non linéaires monotones : étude de solutions fortes de type Ito [Université de Paris-Sud, Centre d'Orsay]. ,(1975)
Jean-Frédéric Gerbeau, Claude Le Bris, Tony Lelièvre, None, Mathematical Methods for the Magnetohydrodynamics of Liquid Metals ,(2006)
Michel Métivier, Stochastic partial differential equations in infinite dimensional spaces ,(2013)
J.-F. Gerbeau, C. Le Bris, Existence of solution for a density-dependent magnetohydrodynamic equation Advances in Differential Equations. ,vol. 2, pp. 427- 452 ,(1997)
Houshang H. Sohrab, Basic real analysis ,(2003)
Chia-Ch'iao Lin, Statistical Theories of Turbulence ,(1961)
Giuseppe Da Prato, Jerzy Zabczyk, Stochastic Equations in Infinite Dimensions ,(1992)
J. Nečas, J. Málek, M. Růžička, M. Rokyta, Weak and Measure-Valued Solutions to Evolutionary PDEs ,(1996)