Eduard Feireisl, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Emil Wiedemann
Published 2016-03-16Version 1
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.
The energy conservation and regularity for the Navier-Stokes equations
Everywhere regularity of certain types of parabolic systems
A new proof to the energy conservation for the Navier-Stokes equations
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