Seminars

# Random dynamical systems for stochastic partial differential equations with additive noise

Author:Björn Schmalfuss    Publicsh date:2016-08-03    Clicks:555
Björn Schmalfuss Time: 8.3 (Wednesday) 3:00-5:00 8.4 (Thursday) 3:00-5:00 Location: Math Center 813 Title: Random dynamical systems for stochastic partial differential equations with additive no ......
 Björn Schmalfuss Time: 8.3 (Wednesday) 3:00-5:00            8.4 (Thursday) 3:00-5:00  Location: Math Center 813 Title: Random dynamical systems for stochastic partial differential equations with additive noise Abstract: After giving some basic remarks about dynamical and random dynamical systems. We introduce the term random fixed point (stationary solution). We give some basic properties of the 2D (abstract) Navier-Stokes equation. For the stochastic version of this equation we generate a random dynamical system. For this system we prove the existence of a random fixed point ($\nu$ large, and the existence of a random attractor.