Local Existence of Smooth Solutions for the Semigeostrophic Equations on Curved Domains
METADATA ONLY
Loading...
Author / Producer
Date
2023-12
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We prove local-in-time existence and uniqueness of smooth solutions to the semigeostrophic equations in the general setting of smooth, bounded, and simply connected domains of R-2 endowed with an arbitrary conformally flat metric and nonvanishing Coriolis term. We present a construction taking place in Eulerian coordinates, avoiding the classical reformulation in dual variables used in the flat case with constant Coriolis force but lacking in this general framework.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
55 (6)
Pages / Article No.
6554 - 6579
Publisher
SIAM
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
existence strong solutions; energy methods; meteorology; semigeostrophic on sphere; elliptic equations
Organisational unit
Notes
Funding
721675 - Regularity and Stability in Partial Differential Equations (EC)