Global well-posedness and decay results for 3D generalized magneto-hydrodynamic equations in critical Fourier-Besov-Morrey spaces
| dc.contributor.author | El Baraka, Azzeddine | |
| dc.contributor.author | Toumlilin, Mohamed | |
| dc.date.accessioned | 2022-04-01T17:24:00Z | |
| dc.date.available | 2022-04-01T17:24:00Z | |
| dc.date.issued | 2017-03-04 | |
| dc.description.abstract | This article concerns the Cauchy problem of the 3D generalized incompressible magneto-hydrodynamic (GMHD) equations. By using the Fourier localization argument and the Littlewood-Paley theory as in [5,31], we obtain global well-posedness results of the GMHD equations with small initial data belonging to the critical Fourier-Besov-Morrey spaces. Moreover, we prove that the corresponding global solution decays to zero as time approaches infinity. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | El Baraka, A., & Toumlilin, M. (2017). Global well-posedness and decay results for 3D generalized magneto-hydrodynamic equations in critical Fourier-Besov-Morrey spaces. <i>Electronic Journal of Differential Equations, 2017</i>(65), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15591 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Magneto-hydrodynamic equations | |
| dc.subject | Global well-posedness | |
| dc.subject | Fourier-Besov-Morrey space | |
| dc.title | Global well-posedness and decay results for 3D generalized magneto-hydrodynamic equations in critical Fourier-Besov-Morrey spaces | |
| dc.type | Article |