Inertial manifolds and forms for semilinear parabolic equations subjected to additive white noise

Abstract

Listen

Translate article

We present a construction of inertial manifolds and forms for semilinear parabolic equations subjected to additive white noise. The existence of inertial manifolds allow us to establish the existence of unique invariant distribution. We also derive the connection between this distribution and inertial forms of the system under consideration.