The Stability Principle and global weak solutions of the free surface semi-geostrophic equations in geostrophic coordinates
DOI10.1098/rspa.2018.0787zbMath1472.35391arXiv1811.03926OpenAlexW2969382719WikidataQ90704201 ScholiaQ90704201MaRDI QIDQ5160756
No author found.
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.03926
semi-geostrophic equationsanalysismeteorologyoptimal transportapplied mathematicsWasserstein spacesstabilitycriteria
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Variational problems in a geometric measure-theoretic setting (49Q20) Meteorology and atmospheric physics (86A10) Weak solutions to PDEs (35D30) PDEs in connection with geophysics (35Q86)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- A global existence result for the semigeostrophic equations in three dimensional convex domains
- Free boundaries in optimal transport and Monge-Ampère obstacle problems
- The fully compressible semi-geostrophic system from meteorology
- Solutions of the Fully Compressible Semi-Geostrophic System
- Polar factorization and monotone rearrangement of vector‐valued functions
- 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
- A variational approach for the 2-dimensional semi-geostrophic shallow water equations
This page was built for publication: The Stability Principle and global weak solutions of the free surface semi-geostrophic equations in geostrophic coordinates
