Special Session 75: Stochastic Evolution Systems Across Scales: Theory and Applications

Compactness of Solutions to Stochastic Kinetic Equations

Kenneth H. Karlsen
Department of Mathematics, University of Oslo
Norway
Co-Author(s):    
Abstract:
We consider stochastically forced kinetic equations in heterogenous environments and stochastic conservation laws with spatially irregular flux. We present new results on the strong compactness of the velocity averages of solutions under general integrability conditions. The talk draws upon papers authored with M. Erceg, M. Kunzinger, and D. Mitrovic.