Zhang Diming, Li Lin, Huang Hai. Stability Analysis of Linear and Nonlinear Periodic Convection in Thermohaline Double-Diffusive Systems[J]. Applied Mathematics and Mechanics, 1996, 17(9): 821-828.
Citation: Zhang Diming, Li Lin, Huang Hai. Stability Analysis of Linear and Nonlinear Periodic Convection in Thermohaline Double-Diffusive Systems[J]. Applied Mathematics and Mechanics, 1996, 17(9): 821-828.

Stability Analysis of Linear and Nonlinear Periodic Convection in Thermohaline Double-Diffusive Systems

  • Received Date: 1995-05-04
  • Publish Date: 1996-09-15
  • A shortout analytic method of stability in Strong non-linear autonomous system is introduced into stability analysis of the themohaline double-diffusive system.Using perturbation technique obtains conditions of existence and stability for linear and nonlinear periodic solutions.For linear periodic solution in infinitesimeal motion the existence range of monotomic branch and oscillatory branch are outilined.The oscillatory branch of nonlinear periodic solution in finite-amplitude motion has unstable periodic solution when μ is smaller than critical value μc in this case of 0s-rsc<<1.The stability conclusions under different direction of vortex are drawn out .
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  • [1]
    H.E.Huppert and D.R.Moore,Nonlinear double-diffusive convection,J.Fluid Mech.,78(1976).821-854.
    [2]
    H.E.Huppert,Transitions in double-diffusive convection,Nature,263(1976),20-22.
    [3]
    E.Knobloch and M.R.E.Proctor,Nonlinear periodic convection in double-diffusive sy stems.J:Fluid Mech.,108(1981),291-336.
    [4]
    J.Marotzke and P.Welander.Instability and multiple steady states in a meridional-plan model of the thermohaline circulation,Tellus,40A(1988),149-162.
    [5]
    N.O.Weiss,Convection in an imposed magnetic field J.Fluid Mech.,108(1981).247-289.
    [6]
    徐兆、黄祯彪,非线性振子极限环灼实用分析法,力学与实践,11( 1988 ),6-11.
    [7]
    徐兆、张涤明,温盐双扩散系统非线性周期对流稳定性分析.中山大学学报(自然科学版),28(1989 ),1-4.
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