Energy equality in the isentropic compressible Navier-Stokes-Maxwell equations

Author:

Zhang Jie1,Huang Gaoli1,Wu Fan2

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, China

2. College of Science, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China

Abstract

<abstract><p>This paper concerns energy conservation for weak solutions of compressible Navier-Stokes-Maxwell equations. For the energy equality to hold, we provide sufficient conditions on the regularity of weak solutions, even for solutions that may include exist near-vacuum or on a boundary. Our energy conservation result generalizes/extends previous works on compressible Navier-Stokes equations and an incompressible Navier-Stokes-Maxwell system.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference13 articles.

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2. E. Feireisl, A. Novotný, H. Petzeltova, On the existence of globally defined weak solutions to the Navier-Stokes equations, J. Math. Fluid Mech., 3 (2001), 358–392. https://doi.org/10.1007/PL00000976

3. E. Feireisl, Dynamics of Viscous Compressible Fluids, Oxford University Press, Oxford, 2003. https://doi.org/10.1093/acprof: oso/9780198528388.001.0001

4. E. Feireisl, A. Novotný, Singular Limits in Thermodynamics of Viscous Fluids, Birkhäuser, Basel, 2009. https://doi.org/10.1007/978-3-7643-8843-0

5. C. Yu, Energy conservation for the weak solutions of the compressible Navier-Stokes equations, Arch. Ration. Mech. Anal., 225 (2017), 1073–1087. https://doi.org/10.1007/s00205-017-1121-4

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