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The Lr Exponential Stability of the Steady-State Solution to a Magnetohydrodynamic Evolution Equation Describe the Geophysical Flow
Acta Mathematicae Applicatae Sinica (2002)
  • Chunshan Zhao
  • Kaitai Li, Xi'an Jiaotong University
Abstract
This paper proves the existence and uniqueness of the steady-state solution of the magnetic fluid type development equation describing the geophysical flow in the bounded region of Rn(n=2,3). Under the appropriate conditions of the external force, it proves that any unsteady The bounded solution of Lr(r≥2) tends to steady-state solution exponential power when t→∞. 
Keywords
  • Steady-state solution,
  • Existence,
  • Uniqueness,
  • Index stability
Disciplines
Publication Date
2002
DOI
10.3321/j.issn:0254-3079.2002.04.003
Citation Information
Chunshan Zhao and Kaitai Li. "The Lr Exponential Stability of the Steady-State Solution to a Magnetohydrodynamic Evolution Equation Describe the Geophysical Flow" Acta Mathematicae Applicatae Sinica Vol. 25 Iss. 4 (2002) p. 604 - 616 ISSN: 0254-3079
Available at: http://works.bepress.com/chunshan_zhao/48/