Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
| dc.creator | Bianchini, Stefano | |
| dc.creator | Hanouzet, Bernard | |
| dc.creator | Natalini, Roberto | |
| dc.date | 2008-05-23 | |
| dc.date.accessioned | 2026-07-07T12:19:11Z | |
| dc.date.available | 2026-07-07T12:19:11Z | |
| dc.description | 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.identifier | https://arxiv.org/abs/0805.3614 | |
| dc.identifier | http://arxiv.org/abs/0805.3614 | |
| dc.identifier | comm. pure applied math. 60, 11 (2007) 1559-1622 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212665 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy | |
| dc.type | text |