Open AccessIncompressible limit of Euler equations with damping
Author(s) -
Fei Shi,
AUTHOR_ID
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022007
Subject(s) - limit (mathematics) , euler equations , mach number , convergence (economics) , euler system , compressibility , euler's formula , mathematics , mathematical analysis , compressible flow , initial value problem , physics , mechanics , economics , economic growth
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.