Abstract
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.
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Communicated by DAI Shi-qiang
Project supported by the National Natural Science Foundation of China (Nos.40175014, 90411006)
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Shen, C., Wang, Yp. & Shi, Wh. Stability of system of two-dimensional non-hydrostatic revolving fluids. Appl Math Mech 27, 317–325 (2006). https://doi.org/10.1007/s10483-006-0306-1
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DOI: https://doi.org/10.1007/s10483-006-0306-1