Localised relative energy and finite speed of propagation for compressible flows

Wiedemann E (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Journal of Differential Equations Elsevier

Book Volume: 265

Pages Range: 1467-1487

Journal Issue: 4

DOI: 10.1016/j.jde.2018.04.005

Abstract

For the incompressible and the isentropic compressible Euler equations in arbitrary space dimension, we establish the principle of localised relative energy, thus generalising the well-known relative energy method. To this end, we adapt classical arguments of C. Dafermos to the Euler equations. We give several applications to the behaviour of weak solutions, like local weak–strong uniqueness, local preservation of smoothness, and finite speed of propagation for the isentropic system.

Authors with CRIS profile

Emil Wiedemann

Involved external institutions

Gottfried Wilhelm Leibniz Universität Hannover DE Germany (DE)

How to cite

APA:

Wiedemann, E. (2018). Localised relative energy and finite speed of propagation for compressible flows. Journal of Differential Equations, 265(4), 1467-1487. https://dx.doi.org/10.1016/j.jde.2018.04.005

MLA:

Wiedemann, Emil. "Localised relative energy and finite speed of propagation for compressible flows." Journal of Differential Equations 265.4 (2018): 1467-1487.

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