In this paper we discuss the time evolution of a two-dimensional active scalar flow. We extend to this dynamical system some rigorous results valid for a two-dimensional incompressible nonviscous fluid. In particular we study some characteristics of the dynamics when the initial field is concentrated in $N$ small disjoint regions and we discuss the generalization of the localization. We investigate also the vanishing viscosity limit. Moreover we give some results of stability for the active scalar flow.
Localization and stability of active scalar flows / Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - STAMPA. - 4:(2013), pp. 175-196.
Localization and stability of active scalar flows
CAVALLARO, GUIDO;GARRA, ROBERTO;MARCHIORO, Carlo
2013
Abstract
In this paper we discuss the time evolution of a two-dimensional active scalar flow. We extend to this dynamical system some rigorous results valid for a two-dimensional incompressible nonviscous fluid. In particular we study some characteristics of the dynamics when the initial field is concentrated in $N$ small disjoint regions and we discuss the generalization of the localization. We investigate also the vanishing viscosity limit. Moreover we give some results of stability for the active scalar flow.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
