On action rate admissibility criteria
Abstract
Abstract We formulate new admissibility criteria for initial value problems motivated by the least action principle. These are applied to a two-dimensional Riemann initial value problem for the isentropic compressible Euler fluid flow. It is shown that the criterion prefers the 2-shock solution to solutions obtained by convex integration by Chiodaroli and Kreml or to the hybrid solutions recently constructed by Markfelder and Pellhammer.
Fields of Study & Subjects
Navier-Stokes equation solutions
Stability and Controllability of Differential Equations
Computational Fluid Dynamics and Aerodynamics
Publication details
- Journal / source
- Zeitschrift für angewandte Mathematik und Physik
- Publisher
- Springer Science and Business Media LLC
- Volume
- 77
- Issue
- 2
- Publication date
- 12 January 2026
- Language
- EN