Abstract
Abstract
The energy equalities of compressible Navier–Stokes equations with general pressure law and degenerate viscosities are studied. By using a unified approach, we give sufficient conditions on the regularity of weak solutions for these equalities to hold. The method of proof is suitable for the case of periodic as well as homogeneous Dirichlet boundary conditions. In particular, by a careful analysis using the homogeneous Dirichlet boundary condition, no boundary layer assumptions are required when dealing with bounded domains with a boundary.
Funder
Deutsche Forschungsgemeinschaft
Austrian Science Fund
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Reference31 articles.
1. Energy conservation for the compressible euler and Navier–Stokes equations with vacuum;Akramov,2018
2. Onsager’s conjecture for the incompressible Euler equations in bounded domains;Bardos;Arch. Ration. Mech. Anal.,2018
3. Onsager’s conjecture with physical boundaries and an application to the vanishing viscosity limit;Bardos,2018
4. Anomalous dissipation for 1/5-Hölder Euler flows;Buckmaster;Ann. Math.,2015
5. 2019 Onsager’s conjecture for admissible weak solutions to appear in;Buckmaster;Commun. Pure Appl. Math.
Cited by
26 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献