从欧拉到半地转系统:均匀凸性下的收敛

IF 0.6 Q4 MATHEMATICS, APPLIED Methods and applications of analysis Pub Date : 2020-01-01 DOI:10.4310/maa.2020.v27.n4.a4

M. Cullen, M. Feldman, A. Tudorascu

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引用次数: 0

摘要

我们证明了如果初始数据准备得很好，那么欧拉系统的某些解收敛于具有恒定科里奥利力的半地转系统的解。强解的主要假设是速度场的有界性和修正压力的legende - fenchel变换的均匀凸性。

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From Euler to the semi-geostrophic system: convergence under uniform convexity

We prove that if the initial data is well prepared, then certain solutions to the Euler system converge to a solution of the Semi-Geostrophic system with constant Coriolis force. The main assumptions on the strong solution are the boundedness of the velocity field as well as the uniform convexity of the Legendre-Fenchel transform of the modified pressure.

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Methods and applications of analysis MATHEMATICS, APPLIED-

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33.30%

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