In this paper we study the time evolution of a temperature patch in 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.
Confinement of a hot temperature patch in the modified SQG model / Garra, R.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 24:6(2019), pp. 2407-2416. [10.3934/dcdsb.2018258]
Confinement of a hot temperature patch in the modified SQG model
Garra R.
2019
Abstract
In this paper we study the time evolution of a temperature patch in 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.File allegati a questo prodotto
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