Date: Wed. November 04, 2020
Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)
Title: Finding solutions of the multi-dimensional compressible Euler equations

Speaker: Prof. Dr. Christian Klingenberg
Affiliation: Universität würzburg, Germany

Abstract. 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
• introduce 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.

References
[1] W. Barsukow, J. Hohm, C. Klingenberg, and P. L. Roe. The active flux scheme on Cartesian grids and its low Mach number limit. Journal of Scientific Computing 81, pp. 594–622 (2019)
[2] E. Feireisl, C. Klingenberg, O. Kreml, and S. Markfelder. On oscillatory solutions to the complete Euler equations. Journal of Differential Equations 296 (2), pp. 1521-1543 (2020)

Recording/Video:

_

Don’t miss out our Upcoming events!

|| Subscribe to our FAU DCN-AvH newsletter

Tags:

Don't miss out our posts on Math & Research!

Transition Layers in Elliptic Equations By Maicon Sônego   Stable transition layers in an unbalanced bistable equation Consider the following semi-linear problem where are positive functions in ; is a positive parameter and We assume that the functions satisfy ; for all ; there is a […]
Randomized time-splitting in linear-quadratic optimal control By Daniël Veldman   Introduction Solving an optimal control problem for a large-scale dynamical system can be computationally demanding. This problem appears in numerous applications. One example is Model Predictive Control (MPC), which requires the solution of several optimal control […]
Felix Klein: A Legacy of Innovation in Mathematics and Education By Roberto Rodríguez del Río, Complutense University of Madrid | IES San Mateo, Madrid   Felix Christian Klein lived in a period of history of science in which Mathematics were involved in a process of transformation, […]
Our last Publications
[cris show="publications" persID="223281397,105092142,229344528,239343629,241149469,243434665,105514816,242263337,104776092,236754096,243266999,243266999" year="2020" type="beitrag_fachzeitschrift" sortby="updated" quotation="apa" items="5"]
© 2019-2021 Chair for Dynamics, Control and Numerics - Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg, Germany | Imprint | Contact