Invariant Gibbs measures of the energy for some models of turbulence

speaker: Hakima Bessaih (University of Wyoming, Department of Mathematics)

abstract: Gaussian measures of Gibbsian type are associated with some shell models of turbulence; They are constructed by means of the energy, a conserved quantity for the 3D inviscid and unforced shell model. We prove the existence of a unique global flow for a stochastic viscous shel model with the property that these Gibbs measures are invariant for this flow. Moreover, we prove that the deterministic inviscid shell model has a stationary solution with respect to these measures.

timetable:
Fri 24 May, 9:00 - 9:50, Aula Dini
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