The semi-geostrophic system: weak-strong uniqueness under uniform convexity
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Publication:1688757
DOI10.1007/s00526-017-1254-1zbMath1380.35002OpenAlexW2764312165MaRDI QIDQ1688757
Adrian Tudorascu, Mikhail Feldman
Publication date: 11 January 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-017-1254-1
PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (5)
A new implementation of the geometric method for solving the Eady slice equations ⋮ Weak–strong uniqueness of renormalized solutions to reaction–cross-diffusion systems ⋮ Smooth solutions of the surface semi-geostrophic equations ⋮ Semi-discrete optimal transport methods for the semi-geostrophic equations ⋮ On the convexity condition for the Semi-Geostrophic system
Cites Work
- A global existence result for the semigeostrophic equations in three dimensional convex domains
- On the Semi-Geostrophic system in physical space with general initial data
- Rigorous derivation of the \(x-z\) semigeostrophic equations
- Classical solutions to semi-geostrophic system with variable Coriolis parameter
- \(W^{2,1}\) regularity for solutions of the Monge-Ampère equation
- On Lagrangian Solutions for the Semi-geostrophic System with Singular Initial Data
- Weak stability of Lagrangian solutions to the semigeostrophic equations
- 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
- Lagrangian Solutions of Semigeostrophic Equations in Physical Space
- A variational approach for the 2-dimensional semi-geostrophic shallow water equations
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