2 papers
math.AP2026
The local least action criterion fails as a selection criterion for weak solutions of the compressible Euler equations
Simon Markfelder, Valentin Pellhammer
It is now well known that the classical notion of admissible weak solutions (also known as weak entropy solutions) does not restore uniqueness for the multi-dimensional compressibl…
math.AP2025
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…