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Random dynamical systems for stochastic partial differential equations with additive noise

Author:Björn Schmalfuss    Publicsh date:2016-08-03    Clicks:
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.