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arXiv math/98050271998-05-06math.NAcs.NAmath.APphysics.ao-ph

非奇异表面准地转流

Nonsingular Surface-Quasi-Geostrophic Flow

Peter Constantin, Qing Nie, Norbert Schorghofer

备注：: 4 pages, 5 figures to be published in Physics Letters A
DOI：: 10.1016/S0375-9601(98)00108-X

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AI总结：

本文通过两种数值方法与解析判据结合，证明表面准地转方程在有限时间内无奇点，揭示大涡动力学特性。

摘要：

大气和海洋中大涡的动力学由表面准地转方程描述，该方程与欧拉方程相似。热锋面迅速形成。结合解析判据的两种不同数值方法被用来证明在有限时间内不存在奇点。

英文摘要：

The dynamics of large eddies in the atmosphere and oceans is described by the surface quasi geostrophic equation, which is reminiscent of the Euler equations. Thermal fronts build up rapidly. Two different numerical methods combined with analytical criteria are used to show there are no singularities in finite time.

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