Confinement of a hot temperature patch in the modified SQG model
Roberto Garra
TL;DR
This paper proves that a hot temperature patch remains confined over time in the modified SQG model without external forces, providing new insights into the stability and evolution of temperature patches in geophysical flows.
Contribution
It offers a rigorous proof of the confinement of a temperature patch in the modified SQG model, advancing understanding of patch dynamics without external forcing.
Findings
Support growth is bounded over time
Hot patch remains confined without external forcing
Provides a temporal estimate on support growth
Abstract
In this paper we study the time evolution of a temperature patch in according to the modified Surface Quasi-Geostrophic Equation (SQG) patch equation. In particular we give a temporal estimate on the growth of the support, providing a rigorous proof of the confinement of a hot patch of temperature in absence of external forcing, under the quasi-geostrophic approximation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.