Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Bao Quoc Tang
Published 2018-08-30Version 1
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.
The energy conservation and regularity for the Navier-Stokes equations
The compressible Euler equations in a physical vacuum: a comprehensive Eulerian approach
Energy conservation for 3D Euler and Navier-Stokes equations in a bounded domain. Applications to Beltrami flows
![QR code for arXiv:1808.10297 [math.AP]](http://oss.arxitics.com/images/favicon.svg)