The semigeostrophic equations discretized in reference and dual variables

DOI10.1007/s00205-006-0040-6zbMath1139.86003OpenAlexW2088594123MaRDI QIDQ2641871

Mike Cullen, Wilfrid Gangbo, Giovanni Pisante

Publication date: 17 August 2007

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-006-0040-6

zbMATH Keywords

Vlasov-Poisson systemsemigeostrophic equationsVlasov-Monge-Ampere system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10)

Related Items

Instabilities in the mean field limit, Euler-Poisson systems as action-minimizing paths in the Wasserstein space, Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics, Mean-field Pontryagin maximum principle, A Lagrangian scheme à la Brenier for the incompressible Euler equations, On the Semi-Geostrophic system in physical space with general initial data, Discretization of Euler's equations using optimal transport: Cauchy and boundary value problems, Semi-discrete optimal transport methods for the semi-geostrophic equations, Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D, Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations, A review of the mean field limits for Vlasov equations

Cites Work

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• Transport equation and Cauchy problem for BV vector fields
• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• The geometry of optimal transportation
• Constrained steepest descent in the 2-Wasserstein metric
• Derivation of the Euler equations from a caricature of Coulomb interaction
• A geometric approximation to the Euler equations: the Vlasov-Monge-Ampère system
• Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional Flows
• Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Ampère/Transport Problem
• A Hamiltonian structure with contact geometry for the semi-geostrophic equations
• convergence of the vlasov-poisson system to the incompressible euler equations
• Quasi-Neutral Limit of the Euler–Poisson and Euler–Monge–Ampère Systems
• A variational approach for the 2-dimensional semi-geostrophic shallow water equations