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The stability of vortices in gas on the l-plane: the influence of centrifugal forceстатья
- Авторы: Olga Rozanova, Marko Turzynsky
- Журнал: ArXiv e-prints
- Номер: 1901.08484
- Год издания: 2019
- Аннотация: We show that a small correction due to centrifugal force usually neglected in the l-plane model of atmosphere drastically influences on the stability of vortices. Namely, in the presence of the Coriolis force only there exists a wide range of parameter ensuring nonlinear stability of a vortex with uniform deformation. Taking into account the centrifugal force results in a disappearance of stable vortices in the above-mentioned class of motions. We also prove that for the heat ratio γ=2, corresponding to the one-atomic gas, the system of equations, describing the gas on the l-plane with the correction due to centrifugal force can be integrated in a special case.
- Добавил в систему: Розанова Ольга Сергеевна