Preprint 1998-027

Diffusion Limit of a Hyperbolic System with Relaxation

Shi Jin and Hailiang Liu


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.


Paper:
Available as PostScript.
Title:
Diffusion limit of a hyperbolic system with relaxation
Author(s):
Shi Jin, mailto:jin@math.gatech.edu
Hailiang Liu,
Publishing information:
Comments:
Submitted by:
mailto:jin@math.gatech.edu July 27 1998.


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