A global existence result for the semigeostrophic equations in three dimensional convex domains
classification
🧮 math.AP
keywords
convexdimensionaldomainsequationsexistencesemigeostrophicassumptionsdata
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Exploiting recent regularity estimates for the Monge-Amp\`ere equation, under some suitable assumptions on the initial data we prove global-in-time existence of Eulerian distributional solutions to the semigeostrophic equations in 3-dimensional convex domains.
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