How parabolic free boundaries approximate hyperbolic fronts

Gilding, Brian H. and Natalini, Roberto and Tesei, Alberto (1999) How parabolic free boundaries approximate hyperbolic fronts. Transactions of the American Mathematical Society, 352 (4). pp. 1797-1824. ISSN 0002-9947

PDF
Restricted to UT campus only: Request a copy
427Kb

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.
Item Type:	Article
Copyright:	© 2000 American Mathematical Society
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematics of Computational Science (MaCS)
Link to this item:	http://purl.utwente.nl/publications/73712
Official URL:	http://dx.doi.org/10.1090/S0002-9947-99-02236-9
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page

Metis ID: 140536