Abstract: In this paper we introduce a diffusive scaling to a hyperbolic system with relaxation and prove that, under such a scaling, the solution converges to that of a nonlinear convection-diffusion equation. Using energy estimates, such a limit is justified with the initial data prescribed around a traveling wave solution of the relaxation system.
mailto:conservation@math.ntnu.no Last modified: Fri Jul 31 12:08:44 1998