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Research Article | Open Access

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

Jie Zhang1, Gaoli Huang1, Fan Wu2( )
School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, China
College of Science, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China
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Abstract

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.

Keywords

energy conservationcompressible Navier-Stokes-Maxwell equationsOnsager's conjecture

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Electronic Research Archive
Volume 31 Issue 10,
October 2023
Pages 6412-6424
DOI: 10.3934/era.2023324

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Cite this article:
Zhang J, Huang G, Wu F. Energy equality in the isentropic compressible Navier-Stokes-Maxwell equations. Electronic Research Archive, 2023, 31(10): 6412-6424. https://doi.org/10.3934/era.2023324

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Received: 14 June 2023
Revised: 10 August 2023
Accepted: 17 September 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)