A global existence result for the semigeostrophic equations in three dimensional convex domains
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Date
2014-04
Publication Type
Journal Article
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Abstract
Exploiting recent regularity estimates for the Monge-Ampère equation, under some suitable assumptions onthe initial datawe prove global-in-time existence of Eulerian distributional solutions to the semigeostrophic equationsin 3-dimensional convex domains.
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published
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Journal / series
Volume
34 (4)
Pages / Article No.
1251 - 1268
Publisher
American Institute of Mathematical Sciences
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Edition / version
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Date collected
Date created
Subject
Optimal transportation; Semigeostrophic equations
Organisational unit
09565 - Figalli, Alessio / Figalli, Alessio
02889 - ETH Institut für Theoretische Studien / ETH Institute for Theoretical Studies
Notes
Published online October 2013.