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Global Existence and Large Time Behavior of Solutions to 3D MHD System Near Equilibrium.
- Source :
- Results in Mathematics / Resultate der Mathematik; May2021, Vol. 76 Issue 2, p1-20, 20p
- Publication Year :
- 2021
-
Abstract
- In this paper, we consider the stability problem on perturbation near a physically steady state solution of the 3D generalized incompressible magnetohydrodynamic system in Lei-Lin space. The global stability and analytic estimates for small perturbation are established by the semigroup method in the critical space χ 1 - 2 α (R 3) with 1 2 ≤ α ≤ 1 , where linear terms from perturbation incur much difficulty. By introducing a diagonalization process we successfully eliminate the linear terms. Then, by virtue of the analytic estimates for a solution, the temporal decay rate (1 + t) - (5 4 α - 1) of the global solution is obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14226383
- Volume :
- 76
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Results in Mathematics / Resultate der Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 150326558
- Full Text :
- https://doi.org/10.1007/s00025-021-01382-w