Preprint 1996-010

How Parabolic Free Boundaries Approximate Hyperbolic Fronts

Brian H. Gilding, Roberto Natalini, and Alberto Tesei

Abstract: A rather complete study of the existence and qualitative behaviour of the boundaries of the support of solutions of the Cauchy problem for nonlinear first-order and second-order scalar conservation laws is presented. Among other properties, it is shown that, under appropriate assumptions, parabolic interfaces converge to hyperbolic ones in the vanishing viscosity limit.

Available as PostScript
How Parabolic Free Boundaries Approximate Hyperbolic Fronts
Brian H. Gilding
Roberto Natalini, <>
Alberto Tesei, <>
Publishing information:
Quaderno IAC n. 2, Marzo 1996
Submitted by:
<> July 2 1996.

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Last modified: Tue Jul 2 18:54:37 1996