How parabolic free boundaries approximate hyperbolic fronts

Gilding, Brian H. and Natalini, Roberto and Tesei, Alberto (1997) How parabolic free boundaries approximate hyperbolic fronts. Memoirs on Differential Equations and Mathematical Physics, 12 . pp. 62-67. ISSN 1512-0015

Preview

PDF
2985Kb

Abstract:	Some recent results concerning existence and qualitative behaviour of the boundaries of the suppurts of solutions of the Cauchy problem for nonlinear first-order hyperbolic and second-order parabolic scalar conservation laws are discussed. Among other properties, it is shown that, under appropriate assumptions, parabolic interfaces converge to hyperbolic ones in the vanishing viscosity limit.
Item Type:	Article
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:	http://purl.utwente.nl/publications/70865
Official URL:	http://www.jeomj.rmi.acnet.ge/memoirs/vol12/contents.htm
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page