How parabolic free boundaries approximate hyperbolic fronts
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- by Brian H. Gilding, Roberto Natalini and Alberto Tesei PDF
- Trans. Amer. Math. Soc. 352 (2000), 1797-1824 Request permission
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.References
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Additional Information
- Brian H. Gilding
- Affiliation: Faculty of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
- ORCID: 0000-0003-1402-3054
- Email: b.h.gilding@math.utwente.nl
- Roberto Natalini
- Affiliation: Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale della Ricerche, Viale del Policlinico 137, I-00161 Roma, Italia
- Email: natalini@iac.rm.cnr.it
- Alberto Tesei
- Affiliation: Dipartimento di Matematica, Università degli Studi di Roma “La Sapienza”, Piazza A. Moro 5, I-00185 Roma, Italia
- Email: tesei@mat.uniroma1.it
- Received by editor(s): June 17, 1996
- Received by editor(s) in revised form: August 15, 1997
- Published electronically: November 18, 1999
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 1797-1824
- MSC (1991): Primary 35L65; Secondary 35K55, 35K65, 35L67, 35R35
- DOI: https://doi.org/10.1090/S0002-9947-99-02236-9
- MathSciNet review: 1487616