Speaker: Pawel Duch
Title: Solving singular stochastic PDEs using renormalization group flow equation
Abstract:
The macroscopic or mesoscopic behavior of many physical systems interacting with a random environment can be described in terms of non-linear stochastic partial differential equations. Such equations are usually very singular and cannot be solved using standard tools from the PDE theory. In the talk, I will present a new technique of solving singular stochastic PDEs based on the renormalization group flow equation. The technique is applicable to a large class of semi-linear parabolic or elliptic SPDEs with fractional Laplacian, additive noise and polynomial non-linearity. It covers equations in the whole subcritical regime and avoids all algebraic and combinatorial problems. Based on arXiv:2109.11380 and arXiv:2201.05031.