Applied Mathematics and Optimization, Vol.70, No.2, 279-307, 2014
Inviscid Incompressible Limits Under Mild Stratification: A Rigorous Derivation of the Euler-Boussinesq System
We consider the full Navier-Stokes-Fourier system in the singular regime of small Mach and large Reynolds and P,clet numbers, with ill prepared initial data on an unbounded domain with a compact boundary. We perform the singular limit in the framework of weak solutions and identify the Euler-Boussinesq system as the target problem.
Keywords:Compressible fluids;Navier-Stokes equations;Singular limits;Low Mach number;High Reynolds number;Euler-Boussinesq system