Abstract
We study the existence and uniqueness of global Ln strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole ℝn space. Under smallness assumption on suitable norms of initial data and external force, existence and uniqueness of global L n strong solutions are proved. Moreover, we also present some algebraic decay properties of the unique global Ln strong solution under some assumptions on both initial data and external force.
| Original language | English |
|---|---|
| Pages (from-to) | 805-835 |
| Number of pages | 31 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 14 |
| Issue number | 6 |
| State | Published - Dec 2007 |
Scopus Subject Areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- Algebraic decay
- Existence and uniqueness
- MHD equations
- Strong solution