# Energy conservation for inhomogeneous incompressible and compressible Euler equations

created by nguyen on 30 Aug 2018

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Submitted Paper

Inserted: 30 aug 2018
Last Updated: 30 aug 2018

Year: 2018

Abstract:

We study the conservation of energy for inhomogeneous incompressible and compressible Euler equations in a torus or a bounded domain. We provided sufficient conditions for a weak solution to conserve the energy. The spatial regularity for the density is only required to have the order of $2/3$ and when the density is constant, we recover the existing results for classical incompressible Euler equation.