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,
<jin@math.gatech.edu>
- Hailiang Liu,
- Publishing information:
-
- Comments:
-
- Submitted by:
-
<jin@math.gatech.edu>
July 27 1998.
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