Diiusion Limit of a Hyperbolic System with Relaxation

  • Shi Jin, Hailiang Liuy
  • Published 1998

Abstract

In this paper we introduce a diiusive scaling to a hyperbolic system with relaxation and prove that, under such a scaling, the solution converges to that of a nonlinear convection-diiusion equation. Using energy estimates, such a limit is justiied with the initial data prescribed around a traveling wave solution of the relaxation system. 

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