Open for all UnRAVeL Members: Weekly Seminar by RTG Eddy: Finding solutions of the multi-dimensional compressible Euler equations
Thursday, October 15, 2020, 10:30am
Seminar by the Research Training Group Eddy Energy, Entropy, and Dissipative DynamicsRWTH Aachen University.
Location: Templergraben 55, Room 114
Speaker: Christian Klingenberg (University of Würzburg)
This talk will survey some results for the two- or three-space dimensional compressible Euler equations, results both in theory and numerics. We shall present
- non-uniqueness results of weak entropy solutions for special initial data using convex integration
- introducing solution concepts beyond weak solutions that allows to show convergence to the incompressible limit of the compressible Euler equations with gravity
- the relationship between stationary preservation, maintaining vorticity, and asymptotic preserving numerical methods
- introduce a high order numerical method that holds promise to achieve this.
This is joint work among others with Simon Markfelder, Wasilij Barsukow, Eduard Feireisl and Phil Roe.