How Parabolic Free Boundaries Approximate Hyperbolic Fronts
Brian H. Gilding, Roberto Natalini, and Alberto Tesei
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