Decay of positive waves for $n \times n$ hyperbolic systems of balance laws
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- by Paola Goatin and Laurent Gosse PDF
- Proc. Amer. Math. Soc. 132 (2004), 1627-1637 Request permission
Abstract:
We prove Oleĭnik-type decay estimates for entropy solutions of $n\times n$ strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which the source term is treated as a nonconservative product localized on a discrete lattice.References
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Additional Information
- Paola Goatin
- Affiliation: Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France
- Email: goatin@cmap.polytechnique.fr
- Laurent Gosse
- Affiliation: Istituto per le Applicazioni del Calcolo (sezione di Bari), via G. Amendola, 122/I, 70126 Bari, Italy
- MR Author ID: 611045
- Email: l.gosse@area.ba.cnr.it
- Received by editor(s): December 21, 2001
- Published electronically: January 22, 2004
- Additional Notes: The authors were partially supported respectively by the EC-Marie Curie Individual Fellowship #HPMF-CT-2000-00930 and EEC grants #ERBFMRXCT970157 & #HPRN-CT-2002-00282
- Communicated by: Suncica Canic
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1627-1637
- MSC (2000): Primary 35L65; Secondary 35L45
- DOI: https://doi.org/10.1090/S0002-9939-04-07315-0
- MathSciNet review: 2051123