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Mathematics > Analysis of PDEs
Title: Well-posedness and convergence of entropic approximation of semi-geostrophic equations
(Submitted on 26 Apr 2024)
Abstract: 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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