Existence and asymptotic behavior of $C^1$ solutions to the multidimensional compressible Euler equations with damping
| dc.creator | Fang, Daoyuan | |
| dc.creator | Xu, Jiang | |
| dc.date | 2007-03-21 | |
| dc.date.accessioned | 2026-07-07T13:12:52Z | |
| dc.date.available | 2026-07-07T13:12:52Z | |
| dc.description | In this paper, the existence and asymptotic behavior of $C^1$ solutions to the multidimensional compressible Euler equations with damping on the framework of Besov space are considered. We weaken the regularity requirement of the initial data, and improve the well-posedness results of Sideris-Thomases-Wang (Comm.P.D.E. 28 (2003) 953). The global existence lies on a crucial a-priori estimate which is proved by the spectral localization method. The main analytic tools are the Littlewood-Paley decomposition and Bony's para-product formula. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703621 | |
| dc.identifier | http://arxiv.org/abs/math/0703621 | |
| dc.identifier | Nonlinear Anal. TMA 70(2009) 244-261 | |
| dc.identifier | doi:10.1016/j.na.2007.11.049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229709 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35L65; 76N15 | |
| dc.title | Existence and asymptotic behavior of $C^1$ solutions to the multidimensional compressible Euler equations with damping | |
| dc.type | text |