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On Global Well-Posedness and Temporal Decay for 3D Magnetic Induction Equations with Hall Effect.
- Source :
-
Mathematics (2227-7390) . Oct2020, Vol. 8 Issue 10, p1847. 1p. - Publication Year :
- 2020
-
Abstract
- The main purpose of this paper is to study the global existence and uniqueness of solutions for three-dimensional incompressible magnetic induction equations with Hall effect provided that ∥ u 0 ∥ H 3 2 + ε + ∥ b 0 ∥ H 2 (0 < ε < 1) is sufficiently small. Moreover, using the Fourier splitting method and the properties of decay character r * , one also shows the algebraic decay rate of a higher order derivative of solutions to magnetic induction equations with the Hall effect. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 147002311
- Full Text :
- https://doi.org/10.3390/math8101847