Global existence and non-uniqueness-in-law for 3D Euler equations with transport noise
Wann
Dienstag, 27. Juni 2023
15:15 bis 0 Uhr
Wo
F426
Veranstaltet von
Vortragende Person/Vortragende Personen:
Dr. Theresa Lange (Universität Bielefeld)
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 H¨older 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 Hofmanov´a (Bielefeld University) and Umberto Pappalettera (Bielefeld University).