On action rate admissibility criteria

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Gimperlein, H. and Grinfeld, M. and Knops, R. J. and Slemrod, M. (2026) On action rate admissibility criteria. Zeitschrift für Angewandte Mathematik und Physik, 77 (2). 57. ISSN 0044-2275 (https://doi.org/10.1007/s00033-025-02705-5)

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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.

ORCID iDs

Gimperlein, H., Grinfeld, M. ORCID logoORCID: https://orcid.org/0000-0002-3897-8819, Knops, R. J. and Slemrod, M.;
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