Stochastic inviscid shell models: well-posedness and anomalous dissipation

speaker: Francesco Morandin (Università degli Studi di Parma)

abstract: Shell models of turbulence are infinite systems of coupled nonlinear equations with exponentially-growing coefficients. They are thought to be able to capture some of the statistical properties and features of three-dimensional turbulence, while presenting a structure much simpler than Navier-Stokes and Euler equations. Inviscid shell models are not generally well-posed. We introduce a stochastic version with multiplicative noise of some of these models (including the GOY and Sabra shell models) for which there is 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.

timetable:
Wed 22 May, 18:00 - 18:50, Aula Dini
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