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STABILITY OF SYSTEM OF TWO-DIMENSIONAL NON-HYDROSTATIC REVOLVING FLUIDS

STABILITY OF SYSTEM OF TWO-DIMENSIONAL NON-HYDROSTATIC REVOLVING FLUIDS
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摘要 Applying the theory Of stratification, it is proved that the system of the two-dimensional non-hydrostatic revolving fluids is unstable in the two-order continuous function class. The construction of solution space is given and the solution approach is offered. The sufficient and necessary conditions of the existence of formal solutions are expressed for some typical initial and boundary value problems and the calculating formulae to formal solutions are presented in detail. Applying the theory Of stratification, it is proved that the system of the two-dimensional non-hydrostatic revolving fluids is unstable in the two-order continuous function class. The construction of solution space is given and the solution approach is offered. The sufficient and necessary conditions of the existence of formal solutions are expressed for some typical initial and boundary value problems and the calculating formulae to formal solutions are presented in detail.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第3期317-325,共9页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China (Nos.40175014, 90411006)
关键词 Boussinesq equations STABILITY initial or boundary value problem STRATIFICATION Boussinesq equations stability initial or boundary value problem stratification
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