English

Confinement of a hot temperature patch in the modified SQG model

Analysis of PDEs 2016-04-13 v1 Mathematical Physics math.MP Fluid Dynamics

Abstract

In this paper we study the time evolution of a temperature patch in R2R^2 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.

Keywords

Cite

@article{arxiv.1604.03284,
  title  = {Confinement of a hot temperature patch in the modified SQG model},
  author = {Roberto Garra},
  journal= {arXiv preprint arXiv:1604.03284},
  year   = {2016}
}
R2 v1 2026-06-22T13:30:08.997Z