Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations
In this paper, we are concerned with Cauchy problem for the multi-dimensional (N = 3) non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and uniqueness of a global strong solution to the system for the initial data close to a stable equilibrium state in critical B...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
Springer
2016
|
| Online Access: | http://hdl.handle.net/20.500.11937/34607 |
| _version_ | 1848754268939485184 |
|---|---|
| author | Xu, F. Zhang, Xinguang Wu, Yong Hong Caccetta, Louis |
| author_facet | Xu, F. Zhang, Xinguang Wu, Yong Hong Caccetta, Louis |
| author_sort | Xu, F. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we are concerned with Cauchy problem for the multi-dimensional (N = 3) non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and uniqueness of a global strong solution to the system for the initial data close to a stable equilibrium state in critical Besov spaces. Our method is mainly based on the uniform estimates in Besov spaces for the proper linearized system with convective terms. |
| first_indexed | 2025-11-14T08:37:43Z |
| format | Journal Article |
| id | curtin-20.500.11937-34607 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:37:43Z |
| publishDate | 2016 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-346072017-09-13T15:10:44Z Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations Xu, F. Zhang, Xinguang Wu, Yong Hong Caccetta, Louis In this paper, we are concerned with Cauchy problem for the multi-dimensional (N = 3) non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and uniqueness of a global strong solution to the system for the initial data close to a stable equilibrium state in critical Besov spaces. Our method is mainly based on the uniform estimates in Besov spaces for the proper linearized system with convective terms. 2016 Journal Article http://hdl.handle.net/20.500.11937/34607 10.1007/s10114-016-4799-6 Springer restricted |
| spellingShingle | Xu, F. Zhang, Xinguang Wu, Yong Hong Caccetta, Louis Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations |
| title | Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations |
| title_full | Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations |
| title_fullStr | Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations |
| title_full_unstemmed | Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations |
| title_short | Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations |
| title_sort | global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations |
| url | http://hdl.handle.net/20.500.11937/34607 |