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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