We investigate the singular limit for the solutions to the compressible gas dynamics equations with damping term, after a parabolic scaling, in the one-dimensional isentropic case. In particular, we study. the convergence in Sobolev norms towards diffusive prophiles, in case of well-prepared initial data and small perturbations of them. The results are obtained by means of symmetrization and energy estimates.
|Titolo:||Singular convergence to nonlinear diffusion waves for solutions to the Cauchy problem for the compressible Euler equations with damping|
|Data di pubblicazione:||2002|
|Appare nelle tipologie:||1.1 Articolo in rivista|