Abstract
Asymptotic L-p-stability of global strong solutions of Magneto-Hydrodynamics (MHD) equations in the whole R-3 space will be studied in this short note. It will be shown that the global strong solutions belonging to L-infinity(0,infinity; L-2(R-3) boolean AND Lp+2(R-3)) (p > 3) are asymptotically stable. At the same time the algebraic L-p-decay rate of difference of two global strong solutions belonging to the above class will also be presented if the difference of initial values is small.
Original language | American English |
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Journal | Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms |
Volume | 12 |
State | Published - Dec 2005 |
Keywords
- Asymptotic
- L-p-stability
- Magneto-Mydrodynamics equations
- R3 space
- Strong solutions
DC Disciplines
- Mathematics