We discuss the time evolution of a two-dimensional active scalar flow, which extends some properties valid for a two-dimensional incompressible nonviscous fluid. In particular we study some characteristics of the dynamics when the field is initially concentrated in N small disjoint regions, and we discuss the conservation in time of this localization property. We discuss also how long this localization persists, showing that in some cases this happens for quite long times.
Long time localization of modified surface quasi-geostrophic equations / Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 26:9(2021), pp. 5135-5148. [10.3934/dcdsb.2020336]
Long time localization of modified surface quasi-geostrophic equations
Guido Cavallaro
;Roberto Garra;Carlo Marchioro
2021
Abstract
We discuss the time evolution of a two-dimensional active scalar flow, which extends some properties valid for a two-dimensional incompressible nonviscous fluid. In particular we study some characteristics of the dynamics when the field is initially concentrated in N small disjoint regions, and we discuss the conservation in time of this localization property. We discuss also how long this localization persists, showing that in some cases this happens for quite long times.| File | Dimensione | Formato | |
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