Title:
Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data
Author(s):
Liu, Xin; Titi, Edriss S.
Year of publication:
2020
Available Date:
2021-04-16T14:03:17Z
Abstract:
This work concerns the zero Mach number limit of the compressible primitive equations. The primitive equations with the incompressibility condition are identified as the limiting equations. The convergence with well-prepared initial data (i.e., initial data without acoustic oscillations) is rigorously justified, and the convergence rate is shown to be of order O(ε), as ε→0+, where ε represents the Mach number. As a byproduct, we construct a class of global solutions to the compressible primitive equations, which are close to the incompressible flows.
Part of Identifier:
ISSN (print): 0003-9527
e-ISSN (online): 1432-0673
Keywords:
zero Mach number limit
compressible primitive equations
initial data without acoustic oscillations
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Journaltitle:
Archive for Rational Mechanics and Analysis
Department/institution:
Mathematik und Informatik
Institut für Mathematik
Comments:
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.