Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
| hal.structure.identifier | istituto per le applicazioni del calculo [IAC] | |
| dc.contributor.author | BIANCHINI, Stefano | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HANOUZET, Bernard | |
| hal.structure.identifier | istituto per le applicazioni del calculo [IAC] | |
| dc.contributor.author | NATALINI, Roberto | |
| dc.date.accessioned | 2024-04-04T02:53:13Z | |
| dc.date.available | 2024-04-04T02:53:13Z | |
| dc.date.created | 2006 | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 0010-3640 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192151 | |
| dc.description.abstractEn | We study the asymptotic time behavior of global smooth solutions to general entropy dissipative hyperbolic systems of balance law in m space dimensions, under the Shizuta-Kawashima condition. We show that these solutions approach constant equilibrium state in the Lp-norm at a rate O(t^(-m/2(1-1/p))), as t tends to $\infty$, for p in [min ( m,2),+ \infty]. Moreover, we can show that we can approximate, with a faster order of convergence, theconservative part of the solution in terms of the linearized hyperbolic operator for m >= 2, and by a parabolic equation in the spirit of Chapman-Enskog expansion. The main tool is given by a detailed analysis of the Green function for the linearized problem. | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.title.en | Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 0805.3614 | |
| bordeaux.journal | Communications on Pure and Applied Mathematics | |
| bordeaux.page | 1559-1622 | |
| bordeaux.volume | 60 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 11 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00281551 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00281551v1 | |
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