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Diffusion limit of a hyperbolic system with relaxation
1998
Methods and Applications of Analysis
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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.
doi:10.4310/maa.1998.v5.n3.a6
fatcat:7zv4krfdnvgfbgkkbj7zyrdoau