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https://doi.org/10.1017/s0308210500001657
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Cite Publication Date: Apr 1, 2002 | |
 Citations: 14 |
In this article we present a proof of existence of a weak solution for the semigeostrophic system of equations, formulated as an active scalar transport equation with Monge-Ampère coupling, with initial data in . This is an extension of a 1998 result due to Benamou and Brenier, who proved existence with initial data in .
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