Semi-discrete optimal transport methods for the semi-geostrophic equations

We give a new and constructive proof of the existence of global-in-time weak solutions of the 3-dimensional incompressible semi-geostrophic equations (SG) in geostrophic coordinates, for arbitrary initial measures with compact support. This new proof, based on semi-discrete optimal transport techniq...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2022-02, Vol.61 (1), Article 39
Hauptverfasser:	Bourne, David P., Egan, Charlie P., Pelloni, Beatrice, Wilkinson, Mark
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus of Variations and Optimal Control Optimization Control Differential equations Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical methods Ordinary differential equations Solvers Systems Theory Theoretical Two dimensional flow
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