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

Zhang Diming; Li Lin; Huang Hai

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(9): 821-828

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.

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.

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

1.
Department of Applied Mechanics and Engineering, Zhongshan University, Guangzhou 510275, P. R. China;
2.
Department of Environmental Science Research, South China Sea Institute of Oceanology, Academia Sinica, Guangzhou 510301, P. R. China

Received Date: 1995-05-04
Publish Date: 1996-09-15

Abstract

Abstract

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 μ_c in this case of 0s-r_sc<<1.The stability conclusions under different direction of vortex are drawn out .
- thermohaline double-diffusive system,
- periodic solution,
- stability

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References(7)

References

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