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Stability analysis of linear and nonlinear periodic convection in thermohaline double-diffusive systems

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Abstract

A shortout analytic method of stability in strong nonlinear autonomous system is introduced into stability analysis of the thermohaline double-diffusive system. Using perturbation technique obtains conditions of existence and stability for linear and nonlinear periodic solutions. For linear periodic solution in infinitesimal 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 0<rs-rsc≪1. The stability conclusions under different direction of vortex are drawn out.

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Authors and Affiliations

  1. Department of Applied Mechanics and Engineering, Zhongshan University, 510275, Guangzhou, P. R. China

    Zhang Diming & Huang Hai

  2. Department of Environmental Science Research, South China Sea Institute of Oceanology, Academia Sinica, 510301, Guangzhou, P. R. China

    Li Lin

Authors
  1. Zhang Diming
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  2. Li Lin
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  3. Huang Hai
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Communicated by Dai Shiqiang

Project supported by the National Natural Science Founcation of China

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Diming, Z., Lin, L. & Hai, H. Stability analysis of linear and nonlinear periodic convection in thermohaline double-diffusive systems. Appl Math Mech 17, 869–877 (1996). https://doi.org/10.1007/BF00127186

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  • DOI: https://doi.org/10.1007/BF00127186

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