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Long time existence of smooth solutions to semigeostrophic equations on a torus
Preprint
26 February 2015
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Abstract
In this work,we show the long time existence of smooth solu- tions to semigeostrophic equations on a torus when the initial dual density is bounded between two positive constants and smooth.The key ingredient is a more precise estimate on C 2 norm of Monge-Amp`re equations established e in [1] .