English

Regularity and Energy Conservation for the Compressible Euler Equations

Analysis of PDEs 2016-12-21 v1

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.

Keywords

Cite

@article{arxiv.1603.05051,
  title  = {Regularity and Energy Conservation for the Compressible Euler Equations},
  author = {Eduard Feireisl and Piotr Gwiazda and Agnieszka Świerczewska-Gwiazda and Emil Wiedemann},
  journal= {arXiv preprint arXiv:1603.05051},
  year   = {2016}
}
R2 v1 2026-06-22T13:12:11.568Z