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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2024

Well-posedness and convergence of entropic approximation of semi-geostrophic equations

Résumé

We prove existence and uniqueness of solutions for an entropic version of the semi-geostrophic equations. We also establish convergence to a weak solution of the semi-geostrophic equations as the entropic parameter vanishes. Convergence is also proved for discretizations that can be computed numerically in practice as shown recently in [6].
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hal-04560854 , version 1 (26-04-2024)

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  • HAL Id : hal-04560854 , version 1

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Guillaume Carlier, Hugo Malamut. Well-posedness and convergence of entropic approximation of semi-geostrophic equations. 2024. ⟨hal-04560854⟩
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