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Confinement of a hot temperature patch in the modified SQG model. (English) Zbl 1418.35344

Summary: In this paper we study the time evolution of a temperature patch in \(\mathbb{R}^2\) according to the modified Surface Quasi-Geostrophic (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.

MSC:

35Q86 PDEs in connection with geophysics
76E20 Stability and instability of geophysical and astrophysical flows
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
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