Asymptotic Behavior of Stochastic Lattice Differential Equations

Please join us for tea and cookies after the talk.

Random attractor is an important concept to describe long-term behavior of solutions for a given stochastic system. In this talk we will first provide sufficient conditions for the existence of a global compact random attractors for general dynamical systems in weighted space of infinite sequences. We then apply the result to show the existence of a unique global compact random attractor for first order, second order and partly dissipative stochastic lattice differential equations with random coupled coefficients and multiplicative/additive white noise in weighted spaces.