The incompressible limit of the isentropic fluids in the analytic spaces

Abstract

We consider the low Mach number limit problem of the Euler equations for isentropic fluids in the analytic spaces. We prove that, given general analytic initial data, the solution is uniformly bounded on a time interval independent of the small parameter and the incompressible limit holding in the analytic norm. The same results extend more generally to Gevrey initial data with convergence holds in a Gevrey norm. The results extend the isentropic fluids in arXiv:2102.11454 to more general pressure laws.