Local Existence of Smooth Solutions for the Semigeostrophic Equations on Curved Domains
DOI10.1137/22m1532846zbMath1528.35109arXiv2206.06191MaRDI QIDQ6086799
Publication date: 10 November 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.06191
Smoothness and regularity of solutions to PDEs (35B65) Meteorology and atmospheric physics (86A10) Applications of PDEs on manifolds (58J90) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Strong solutions to PDEs (35D35) Monge-Ampère equations (35J96) PDEs on manifolds (35R01) Geophysical flows (76U60)
Cites Work
- Unnamed Item
- Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps
- Manifolds, tensor analysis, and applications.
- Classical solutions to semi-geostrophic system with variable Coriolis parameter
- \(W^{2,1}\) regularity for solutions of the Monge-Ampère equation
- 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
- Lectures on Elliptic Partial Differential Equations
- Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case
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