On maximal dissipation criteria for the compressible Euler equations

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• Simon Markfelder (University of Konstanz)
• Thursday 16 October 2025, 15:00-16:00
• Centre for Mathematical Sciences, MR14.

If you have a question about this talk, please contact Georg Maierhofer.

In the past years, results based on a technique called convex integration have drawn lots of interest within the community of mathematical fluid mechanics. Among other fascinating results, this technique allows to prove existence of infinitely many solutions for the multi-dimensional compressible Euler equations. All these solutions satisfy the energy inequality which is commonly used in the literature to identify physically relevant solutions. On the other hand, intuitively at least some of the infinitely many solutions still seem to be non-physical. For this reason one has studied additional admissibility criteria regarding maximal energy dissipation—to no avail: such criteria do not select the solution which is expected to be the physical one. In this talk we give an overview on the aforementioned non-uniqueness results and we explain why maximal dissipation fails to single out the solution which is presumably the physical solution.

This talk is part of the Applied and Computational Analysis series.

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