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.

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Diffusion limit of a hyperbolic system with relaxation
Shi Jin, <>
Hailiang Liu,
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<> July 27 1998.

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