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Research Article | Open Access

Incompressible limit of Euler equations with damping

Department of Mathematics, Institute of Systems Biology, Shanghai University, Shanghai, China
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Abstract

The Cauchy problem for the compressible Euler system with damping is considered in this paper. Based on previous global existence results, we further study the low Mach number limit of the system. By constructing the uniform estimates of the solutions in the well-prepared initial data case, we are able to prove the global convergence of the solutions in the framework of small solutions.

Keywords

incompressible limitMach numberEuler equationsdampingglobal solution

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Electronic Research Archive
Volume 30 Issue 1,
January 2022
Pages 126-139
DOI: 10.3934/era.2022007

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Cite this article:
Shi F. Incompressible limit of Euler equations with damping. Electronic Research Archive, 2022, 30(1): 126-139. https://doi.org/10.3934/era.2022007

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Received: 12 September 2021
Revised: 02 October 2021
Accepted: 09 October 2021
Published: 15 January 2022
©2022 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)