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Energy equalities for compressible Navier-Stokes equations

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NGUYEN Quoc-Hung NGUYEN Phuoc Tai TANG Bao Quoc

Rok publikování 2019
Druh Článek v odborném periodiku
Časopis / Zdroj NONLINEARITY
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://iopscience.iop.org/article/10.1088/1361-6544/ab28ae
Doi http://dx.doi.org/10.1088/1361-6544/ab28ae
Klíčová slova compressible Navier-Stokes equations; inhomogeneous incompressible Navier-Stokes equations; energy equalities; Onsager's conjecture
Popis 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.
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