On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids
We study a class of 2D solutions of a Bloch-Torrey regularization of the Rosensweig system in the whole space, which arise when the initial data and the external magnetic field are 2D. We prove that such solutions are globally defined if the initial data is in $ H^k\pare{\bR^2}, k\geqslant 1 $.
Detalhes bibliográficos
| Autor: |
Scrobogna, S. |
|---|
| Tipo de documento: | artigo
|
|---|
| Estado: | Versão publicada |
|---|
| Data de publicação: | 2018 |
|---|
| País: | España |
|---|
| Recursos: | Basque Center for Applied Mathematics (BCAM) |
|---|
| Repositório: | BIRD. BCAM's Institutional Repository Data |
|---|
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/853 |
|---|
| Acesso em linha: | http://hdl.handle.net/20.500.11824/853
|
|---|
| Access Level: | Acceso aberto |
|---|
| Palavra-chave: | ferrofluids |
|---|
