Event

Stochastic Analysis Work Group Seminar: Baptiste Huguet (Université du Luxembourg): Brenier-Schrödinger problem: A probabilistic approach to Navier-Stokes equations

Ort: for participation email to renesse@berlin.de

In 1989, Brenier proposed a variational approach of Euler equations whose solutions are path measures, minimising the kinetic energy. Using an appropriate energy, this approach can be extended to different fluid evolution models. In particular, the Nelson (or mean velocity) kinetic energy links Navier-Stokes equations to the Brenier-Schrödinger problem. This talk will introduce the Brenier-Shrödinger problem on compact manifolds with boundary and explain the link with viscous fluid evolution, especially concerning the impermeability condition. We will also give existence results in compact manifolds with boundary such as squares or regular triangles. Warning: No million dollar prize will be claimed during this presentation.

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Vortrag

Beginn: May 31, 2021, 2 p.m.

Ende: May 31, 2021, 3:30 p.m.