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Global well-posedness for the Hall-magnetohydrodynamics system in larger critical Besov spaces.
- Source :
-
Journal of Differential Equations . Feb2021, Vol. 274, p382-413. 32p. - Publication Year :
- 2021
-
Abstract
- We prove the global well-posedness of the Cauchy problem to the 3D incompressible Hall-magnetohydrodynamic system supplemented with initial data in critical Besov spaces that allowing for different integrability indices for the velocity field u and magnetic field b (and its current J), which generalize the result in [13]. Meanwhile, we analyze the long-time behavior of the solutions and get some decay estimates. Finally, a stability theorem for global solutions is established. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BESOV spaces
*MAGNETIC fields
*MAGNETOHYDRODYNAMICS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 274
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 147648689
- Full Text :
- https://doi.org/10.1016/j.jde.2020.10.014