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math.AP2025★ 3 cited
Maximal turbulence as a selection criterion for measure-valued solutions
Christian Klingenberg, Simon Markfelder, Emil Wiedemann
The quest for a good solution concept for the partial differential equations (PDEs) arising in mathematical fluid dynamics is an outstanding open problem. An important notion of so…
math.AP2025★ 1 cited
Failure of the least action admissibility principle in the context of the compressible Euler equations
Simon Markfelder, Valentin Pellhammer
Finding a proper solution concept for the multi-dimensional barotropic compressible Euler equations and related systems is still an unsolved problem. As revealed by convex integrat…