On action rate admissibility criteria
Analysis of PDEs
2026-01-14 v5
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.
Cite
@article{arxiv.2503.03491,
title = {On action rate admissibility criteria},
author = {Heiko Gimperlein and Michael Grinfeld and Robin J. Knops and Marshall Slemrod},
journal= {arXiv preprint arXiv:2503.03491},
year = {2026}
}
Comments
13 pages, 1 figure, to appear in ZAMP