Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 79-88.

• Articles • Previous Articles     Next Articles

NONLINEAR SATURATION OF BAROCLINIC INSTABILITY IN THE GENERALIZED PHILLIPS MODEL (Ⅰ) -THE UPPER BOUND ON THE EVOLUTION OF DISTURBANCE TO THE NONLINEARLY UNSTABLE BASIC FLOW

ZHANG Gui1, XIANG Jie2, LI Dong-hui3   

  1. 1. Department of Mathematics and Physics, Institute of Science, University of Science and Technology, P. L. A, Nanjing 211101, P. R. China;
    2. Department of Meteorology, P. O. Box 003, Nanjing 211101, P. R. China;
    3. Institute of Meteorology, University of Science and Technology, P. L. A, Nanjing 211101, P. R. China
  • Received:2000-01-16 Revised:2001-10-29 Online:2002-01-18 Published:2002-01-18

Abstract: On the basis of the nonlinear stability theorem in the context of Arnol’s second theorem for the generalized Phillips model, nonlinear saturation of baroclinic instability in the generalized Phillips model is investigated. By choosing appropriate artificial stable basic flows, the upper bounds on the disturbance energy and potential enstrophy to the nonlinearly unstable basic flow in the generalized Phillips model are obtained, which are analytic completely and without the limitation of infinitesimal initial disturbance.

2010 MSC Number: 

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