Special Session 92: Numerical Methods for SPDEs: Bridging Theory and Applications

Convex integration on stochastic PDEs
Kazuo Yamazaki
University of Nebraska-Lincoln
USA
Co-Author(s):    Kazuo Yamazaki
Abstract:
Convex integration dates back to the work of Nash and has developed recently as a way to construct non-unique weak solutions to vaious PDEs. We discuss recent developments on convex integration on stochastic PDEs with examples including the Navier-Stokes equations, surface quasi-geostrophic equations, and others.