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Advanced seminar AG Mathematical Modeling

Monday, 23.10.2023 at 17.00 in B7-209 - Seminar room A

 

Lecture by Stefanie Berkemeier (Bielefeld) with the title "Stochastic Convex Integration Solutions to the 3D Navier-Stokes Equations"

Abstract:

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. Furthermore, by a suitable
choice of different kinetic energies which coincide on an interval close
to time 0, we obtain non-uniqueness

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