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Advanced seminar AG Mathematical Modeling

Monday, 29.04.2024 at 17.00 in B7 - 210 - Seminar room A

 

Talk by Thamsanqa Castern Moyo (Clausthal) on "Discontinuous Galerkin methods for the complete stochastic Euler equation".

Abstract:

We propose and analyze an approximation scheme for the complete Euler equations with a stochastic forcing in the momentum equation via discontiuous Galerkin methods. It is based on the concept of "dissipative martingale solutions", where the nonlinear terms are described by defect measures, introduced recently in Moyo (J. Diff. Equ. 365, 408--464 (2023)). Under the hypothesis that no vacuum occurs and the total energy stays bounded our scheme converges in law to a dissipative martingale solution. In the lifespan of a pathwise strong solution we obtain at least convergence of order 1/2. The results built a counterpart of corresponding results in the deterministic case.

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