Oberseminar AG Mathematische Modellierung

Montag, den 23.10.2023 um 17.00 Uhr in B7-209 - Seminarraum A

Vortrag von Stefanie Berkemeier (Bielefeld) mit dem Titel „Stochastic Convex Integration Solutions to the 3D Navier-Stokes Equations“


For a prescribed deterministic kinetic energy we use convex
integration to construct analytically weak and probabilistically strong
solutions to the 3D in-compressible Navier-Stokes equations driven by a
linear multiplicative stochastic forcing. These solutions are defined up
to an arbitrarily large stopping time and have deterministic initial
values, which are part of the construction. Moreover, by a suitable
choice of different kinetic energies which coincide on an interval close
to time 0, we obtain non-uniqueness