Title: Recent developments on probabilistic convex integration
Speaker: Kazuo Yamazaki (Texas Tech)
Abstract: We review recent developments on convex integration applied on stochastic PDEs. Examples of equations include Euler equations (compressible or incompressible), Navier-Stokes equations, Boussinesq system, MHD system, power-law model, transport-diffusion equation, and surface quasi-geostrophic equations. Types of noise can be white in time (additive, linear multiplicative, non-linear), white in space (additive), or space-time white noise (additive). Typical results obtained are the existence of infinitely many (and hence non-unique, even in law) solutions at the level of probabilistically strong solution (i.e., adapted to the natural filtration generated by the given noise).
URL associated with Seminar: https://research.math.osu.edu/pde/
Zoom Meeting ID: 948 6539 2210 Password: 314159