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.


Paper:
Available as PostScript
Title:
How Parabolic Free Boundaries Approximate Hyperbolic Fronts
Author(s):
Brian H. Gilding
Roberto Natalini, <natalini@asterix.iac.rm.cnr.it>
Alberto Tesei, <tesei@iac.rm.cnr.it>
Publishing information:
Quaderno IAC n. 2, Marzo 1996
Submitted by:
<natalini@asterix.iac.rm.cnr.it> July 2 1996.


[ 1996 Preprints | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Tue Jul 2 18:54:37 1996