Calculus of Variations and Geometric Measure Theory
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Q. H. Nguyen - P. T. NGUYEN - Q. B. TANG

Energy equalities for compressible Navier-Stokes equations

created by nguyen on 24 Oct 2018

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Submitted Paper

Inserted: 24 oct 2018
Last Updated: 24 oct 2018

Year: 2018

Abstract:

The energy equalities of compressible and inhomogeneous incompressible Navier-Stokes equations 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 homogeneous Dirichlet boundary condition, no boundary layer assumptions are required when dealing with bounded domains with boundary.


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