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Office: F 407
Consulting hours: by agreement
Phone: +49 7531 88-2303
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Welcome on the Website of
Jun.-Prof. Dr. Simon Markfelder
Welcome on my new website.
I'm very pleased to hold the junior professorship for Partial Differential Equations in Mathematical Physics at the University of Konstanz since September 2024.
Teaching in the Winter Term 2024/25
In the winter term I offer the course "Hyperbolic Conservation Laws".
For more information click here.
New Paper Published
My lastest paper "A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion" has been published by Nonlinearity, see here.
Using convex integration one is able to generate a multitude of solutions to the compressible Euler equations with the same initial data. At least for the initial data which are considered in this paper, only one of these solutions seems to be physically meaningful. It is shown in this paper that local maximal energy dissipation does not select the expected solution. In order to prove this, it was necessary to develop a new convex integration approach.