On well-posedness of the Cauchy problem for MHD system in Besov spaces
| dc.creator | Miao, Changxing | |
| dc.creator | Yuan, Baoquan | |
| dc.date | 2006-07-19 | |
| dc.date | 2008-01-12 | |
| dc.date.accessioned | 2026-07-07T12:10:20Z | |
| dc.date.available | 2026-07-07T12:10:20Z | |
| dc.description | This paper is devoted to the study of the Cauchy problem of incompressible magneto-hydrodynamics system in framework of Besov spaces. In the case of spatial dimension $n\ge 3$ we establish the global well-posedness of the Cauchy problem of incompressible magneto-hydrodynamics system for small data and the local one for large data in Besov space $\dot{B}^{\frac np-1}_{p,r}(\mr^n)$, $1\le p<\infty$ and $1\le r\le\infty$. Meanwhile, we also prove the weak-strong uniqueness of solutions with data in $\dot{B}^{\frac np-1}_{p,r}(\mr^n)\cap L^2(\mr^n)$ for $\frac n{2p}+\frac2r>1$. In case of $n=2$, we establish the global well-posedness of solutions for large initial data in homogeneous Besov space $\dot{B}^{\frac2p-1}_{p,r}(\mr^2)$ for $2< p<\infty$ and $1\le r<\infty$. | |
| dc.description | 23pages | |
| dc.identifier | https://arxiv.org/abs/math/0607458 | |
| dc.identifier | http://arxiv.org/abs/math/0607458 | |
| dc.identifier | Math.Meth.Appl.Sci.32(2009)53-76 | |
| dc.identifier | doi:10.1002/mma.1026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209908 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 76W05, 74H20 | |
| dc.title | On well-posedness of the Cauchy problem for MHD system in Besov spaces | |
| dc.type | text |