Regularity and energy conservation for the compressible Euler equations

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Date
2016-05-10MFO Scientific Program
Research in Pairs 2016Series
Oberwolfach Preprints;2016,04Author
Feireisl, Eduard
Gwiazda, Piotr
Swierczewska-Gwiazda, Agnieszka
Wiedemann, Emil
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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 P. Constantin et al. for the homogeneous incompressible Euler equations.