Stability of rarefaction waves in viscous media
This is a study of the large time asymptotic behaviour of a weak rarefaction wave for the parabolic system \(u_t+f(u)_x=u_{xx}\) with a strictly hyperbolic first member. Solutions of perturbed rarefaction data converge to an approximate Burgers rarefaction wave for suitably small and localized initial perturbations.
scientific article; zbMATH DE number 887202