Abstract
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 travelling wave solution of the relaxation system.
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© 1999 Springer Basel AG
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Liu, H. (1999). On the Diffusion Limit of a Hyperbolic Relaxation System. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_18
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DOI: https://doi.org/10.1007/978-3-0348-8724-3_18
Publisher Name: Birkhäuser, Basel
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