In this paper we study a stochastic version of an inviscid shell model of turbulence with multiplicative noise. The deterministic counterpart of this model is quite general and includes inviscid GOY and Sabra shell models of turbulence. We prove global weak existence and uniqueness of solutions for any finite energy initial condition. Moreover energy dissipation of the system is proved in spite of its formal energy conservation.
Stochastic inviscid shell models: well-posedness and anomalous dissipation / Barbato, David; Morandin, Francesco. - In: NONLINEARITY. - ISSN 0951-7715. - STAMPA. - 26:7(2013), pp. 1919-1943. [10.1088/0951-7715/26/7/1919]
Stochastic inviscid shell models: well-posedness and anomalous dissipation
MORANDIN, Francesco
2013-01-01
Abstract
In this paper we study a stochastic version of an inviscid shell model of turbulence with multiplicative noise. The deterministic counterpart of this model is quite general and includes inviscid GOY and Sabra shell models of turbulence. We prove global weak existence and uniqueness of solutions for any finite energy initial condition. Moreover energy dissipation of the system is proved in spite of its formal energy conservation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
