4 research outputs found
Stochastic Reaction-diffusion Equations Driven by Jump Processes
We establish the existence of weak martingale solutions to a class of second
order parabolic stochastic partial differential equations. The equations are
driven by multiplicative jump type noise, with a non-Lipschitz multiplicative
functional. The drift in the equations contains a dissipative nonlinearity of
polynomial growth.Comment: See journal reference for teh final published versio
Existence and large time behaviour for a stochastic model of a modified magnetohydrodynamic equations
In this paper we initiate the mathematical analysis of 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 -structure and the Maxwell equations. We mainly
show the existence of weak martingale solutions and their exponential decay
when time goes to infinity.Comment: This paper needs some revisio