Confinement of a hot temperature patch in the modified SQG model
Abstract
In this paper we study the time evolution of a temperature patch in R2 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.
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