This seminar will be presented in hybrid mode. The speaker will deliver her talk in person.
Title: Global existence and non-uniqueness-in-law for 3D Euler equations with transport noise
Abstract: Consider the three-dimensional Euler equations perturbed by a multiplicative Stratonovich noise of transport type. With the help of a flow transformation of the resulting SPDE and a convex integration scheme inspired by DeLellis-Szekelyhidi-2014, we construct probabilistically strong, analytically weak solutions which exist globally in time and are Hölder continuous. Our analysis allows to prescribe the kinetic energy up to a stopping time which gives non-uniqueness in law. The results presented in this talk are based on joint work with Martina Hofmanová (Bielefeld University) and Umberto Pappalettera (Bielefeld University).
The talk will be followed by refreshments in the Huxley Common Room at 4pm.