Global well-posedness and inviscid limit for the modified Korteweg-de Vries-Burgers equation
| dc.creator | Zhang, Hua | |
| dc.date | 2008-09-11 | |
| dc.date | 2008-11-20 | |
| dc.date.accessioned | 2026-07-07T10:19:21Z | |
| dc.date.available | 2026-07-07T10:19:21Z | |
| dc.description | Considering the Cauchy problem for the modified Korteweg-de Vries-Burgers equation $u_t+u_{xxx}+ε|\partial_x|^{2α}u=2(u^{3})_x, u(0)=ϕ$, where $0<ε,α\leq 1$ and $u$ is a real-valued function, we show that it is uniformly globally well-posed in $H^s (s\geq1)$ for all $ε\in (0,1]$. Moreover, we prove that for any $s\geq 1$ and $T>0$, its solution converges in $C([0,T]; H^s)$ to that of the MKdV equation if $ε$ tends to 0. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0809.1903 | |
| dc.identifier | http://arxiv.org/abs/0809.1903 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174479 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53 | |
| dc.title | Global well-posedness and inviscid limit for the modified Korteweg-de Vries-Burgers equation | |
| dc.type | text |