Asymptotic Lp-Stability for Strong Solutions of Magneto-Mydrodynamics Equations in the R3 Space

Chunshan Zhao, Yinnian He

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
JournalDynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms
Volume12
StatePublished - Dec 2005

Keywords

  • Asymptotic
  • L-p-stability
  • Magneto-Mydrodynamics equations
  • R3 space
  • Strong solutions

DC Disciplines

  • Mathematics

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