Incompressible limit of Euler equations with damping

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 a...

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Veröffentlicht in:Electronic Research Archive 2022, Vol.30 (1), p.126-139
1. Verfasser: Shi, Fei
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2022007