Weak-strong uniqueness for measure-valued solutions of some compressible fluid models

Gwiazda P, Swierczewska-Gwiazda A, Wiedemann E (2015)

Publication Type: Journal article

Publication year: 2015

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Book Volume: 28

Pages Range: 3873-3890

Journal Issue: 11

DOI: 10.1088/0951-7715/28/11/3873

Abstract

We prove weak-strong uniqueness in the class of admissible measure-valued solutions for the isentropic Euler equations in any space dimension and for the Savage-Hutter model of granular flows in one and two space dimensions. For the latter system, we also show the complete dissipation of momentum in finite time, thus rigorously justifying an assumption that has been made in the engineering and numerical literature.

Authors with CRIS profile

Emil Wiedemann

Involved external institutions

University of Warsaw / Uniwersytet Warszawski PL Poland (PL) Rheinische Friedrich-Wilhelms-Universität Bonn DE Germany (DE)

How to cite

APA:

Gwiazda, P., Swierczewska-Gwiazda, A., & Wiedemann, E. (2015). Weak-strong uniqueness for measure-valued solutions of some compressible fluid models. Nonlinearity, 28(11), 3873-3890. https://dx.doi.org/10.1088/0951-7715/28/11/3873

MLA:

Gwiazda, Piotr, Agnieszka Swierczewska-Gwiazda, and Emil Wiedemann. "Weak-strong uniqueness for measure-valued solutions of some compressible fluid models." Nonlinearity 28.11 (2015): 3873-3890.

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