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

2024/04/26 by Carlier, Guillaume, Malamut, Hugo · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2404.17387

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].

Cited by

• Entropic approximations of the semigeostrophic shallow water equations

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