Regularity and Energy Conservation for the Compressible Euler Equations

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...

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Bibliographic Details
Published in:	Archive for rational mechanics and analysis Vol. 223; no. 3; pp. 1375 - 1395
Main Authors:	Feireisl, Eduard, Gwiazda, Piotr, Świerczewska-Gwiazda, Agnieszka, Wiedemann, Emil
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-03-2017
Subjects:	Archives Classical Mechanics Commutators Complex Systems Compressibility Energy conservation Estimates Euler equations Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Regularity Strategy Theoretical
Online Access:	Get full text
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Summary:	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.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0003-9527 1432-0673
DOI:	10.1007/s00205-016-1060-5