Zero Mach number limit of the compressible primitive equations: Ill-prepared initial data

In the work, we consider the zero Mach number limit of compressible primitive equations in the domain R2 x 2T or T2 x 2T. We identify the limit equations to be the primitive equations with the incompressible condition. The convergence behaviors are studied in both R2 x 2T and T2 x 2T, respectively. This paper takes into account the high oscillating acoustic waves and is an extension of our previous work in [29].(c) 2023 Elsevier Inc. All rights reserved.

Automated summary

In this work, we investigate the zero Mach number limit of compressible primitive equations in the domains R2 x 2T or T2 x 2T. The limit equations are identified to be the primitive equations with the incompressible condition. The convergence behaviors are studied in both R2 x 2T and T2 x 2T, respectively. This paper considers the presence of high oscillating acoustic waves and extends previous research in [29].