Entropic optimal transport solutions of the semigeostrophic equations

DOI10.1016/j.jcp.2023.112745OpenAlexW4318622339MaRDI QIDQ6119282

H. Malamut, Jean-David Benamou, Colin John Cotter

Publication date: 29 February 2024

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112745

zbMATH Keywords

optimal transportSinkhorn algorithmsemigeostrophic equationsentropic regularization

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Elliptic equations and elliptic systems (35Jxx) Geophysics (86Axx)

Cites Work

• Unnamed Item
• Far-field reflector problem and intersection of paraboloids
• Vertical slice modelling of nonlinear Eady waves using a compatible finite element method
• Global existence for the semigeostrophic equations via Sobolev estimates for Monge-Ampère
• A formula for the time derivative of the entropic cost and applications
• Semi-discrete optimal transport methods for the semi-geostrophic equations
• The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations
• Optimal transport: discretization and algorithms
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Monge-Ampère based moving mesh methods for numerical weather prediction, with applications to the Eady problem
• A new implementation of the geometric method for solving the Eady slice equations
• Regularity Properties of Optimal Maps Between Nonconvex Domains in the Plane
• Polar factorization and monotone rearrangement of vector‐valued functions
• The Regularity of Mappings with a Convex Potential
• Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Ampère/Transport Problem
• Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models
• Stabilized Sparse Scaling Algorithms for Entropy Regularized Transport Problems
• Modelling atmospheric flows
• Hamiltonian ODEs in the Wasserstein space of probability measures

This page was built for publication: Entropic optimal transport solutions of the semigeostrophic equations