Regularity and Energy Conservation for the Compressible Euler Equations
Feireisl E, Gwiazda P, Swierczewska-Gwiazda A, Wiedemann E (2017)
Publication Type: Journal article
Publication year: 2017
Journal
Book Volume: 223
Pages Range: 1375-1395
Journal Issue: 3
DOI: 10.1007/s00205-016-1060-5
Abstract
We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator estimates similar to those employed by Constantin et al. for the homogeneous incompressible Euler equations.
Authors with CRIS profile
Involved external institutions
Academy of Sciences of the Czech Republic (ASCR) / Akademie věd České republiky (AVČR)
Czech Republic (CZ)
Polska Akademia Nauk (PAN) / Polish Academy of Sciences
Poland (PL)
University of Warsaw / Uniwersytet Warszawski
Poland (PL)
Gottfried Wilhelm Leibniz Universität Hannover
Germany (DE)
Czech Republic (CZ)
Polska Akademia Nauk (PAN) / Polish Academy of Sciences
Poland (PL)
University of Warsaw / Uniwersytet Warszawski
Poland (PL)
Gottfried Wilhelm Leibniz Universität Hannover
Germany (DE)
How to cite
APA:
Feireisl, E., Gwiazda, P., Swierczewska-Gwiazda, A., & Wiedemann, E. (2017). Regularity and Energy Conservation for the Compressible Euler Equations. Archive for Rational Mechanics and Analysis, 223(3), 1375-1395. https://dx.doi.org/10.1007/s00205-016-1060-5
MLA:
Feireisl, Eduard, et al. "Regularity and Energy Conservation for the Compressible Euler Equations." Archive for Rational Mechanics and Analysis 223.3 (2017): 1375-1395.
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