Weak–strong uniqueness for the isentropic Euler equations with possible vacuum

Ghoshal SS, Jana A, Wiedemann E (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Partial Differential Equations and Applications Springer International Publishing

Book Volume: 3

Article Number: 54

Journal Issue: 4

DOI: 10.1007/s42985-022-00191-2

Abstract

We establish a weak–strong uniqueness result for the isentropic compressible Euler equations, that is: As long as a sufficiently regular solution exists, all energy-admissible weak solutions with the same initial data coincide with it. The main novelty in this contribution, compared to previous literature, is that we allow for possible vacuum in the strong solution.

Authors with CRIS profile

Emil Wiedemann

Involved external institutions

Tata Institute of Fundamental Research (TIFR) IN India (IN) Universität Ulm DE Germany (DE)

How to cite

APA:

Ghoshal, S.S., Jana, A., & Wiedemann, E. (2022). Weak–strong uniqueness for the isentropic Euler equations with possible vacuum. Partial Differential Equations and Applications, 3(4). https://dx.doi.org/10.1007/s42985-022-00191-2

MLA:

Ghoshal, Shyam Sundar, Animesh Jana, and Emil Wiedemann. "Weak–strong uniqueness for the isentropic Euler equations with possible vacuum." Partial Differential Equations and Applications 3.4 (2022).

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