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ISSN 1088-6850(e) ISSN 0002-9947(p)

How parabolic free boundaries approximate hyperbolic fronts

Author(s): Brian H. Gilding; Roberto Natalini; Alberto Tesei
Journal: Trans. Amer. Math. Soc. 352 (2000), 1797-1824.
MSC (1991): Primary 35L65; Secondary 35K55, 35K65, 35L67, 35R35
Posted: November 18, 1999
MathSciNet review: 1487616
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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.

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