Solutions of the Fully Compressible Semi-Geostrophic System

DOI10.1080/03605302.2013.866680zbMath1307.35215arXiv1112.3553OpenAlexW2085999547MaRDI QIDQ2875574

D. K. Gilbert, Beatrice Pelloni, Michael John Priestley Cullen

Publication date: 8 August 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3553

zbMATH Keywords

nonlinear PDEsgeophysical fluid mechanicsweak Lagrangian solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Meteorology and atmospheric physics (86A10) Weak solutions to PDEs (35D30) PDEs in connection with geophysics (35Q86)

Related Items (1)

The Stability Principle and global weak solutions of the free surface semi-geostrophic equations in geostrophic coordinates

Cites Work

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• A global existence result for the semigeostrophic equations in three dimensional convex domains
• Transport equation and Cauchy problem for BV vector fields
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• A Fully Nonlinear Version of the Incompressible Euler Equations: The Semigeostrophic System
• Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Ampère/Transport Problem
• Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case
• Hamiltonian ODEs in the Wasserstein space of probability measures
• Lagrangian Solutions of Semigeostrophic Equations in Physical Space
• Optimal Transport

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