The porous medium equation as the relaxation limit of the isentropic Euler equations
Hongli Wanga,*, Huimin Liub
ABSTRACT: This work is concerned with the relaxation limits of compressible and isentropic Euler equations. For well prepared initial data, the convergence of solution of the compressible Euler equations to the solution of the porous medium equation is justified by an analysis of asymptotic expansions up to any order and a uniform energy estimate.