Abstract: A main question in the study of partial differential equations
is the following: how do we understand the nature of the solutions and, in particular, how do we determine if a given solution shows turbulent or non-turbulent behaviour?
We focus on the case of intermittent turbulence and provide an analytical criterion, based on the crest factor, which captures the essential feature of the solutions.
We illustrate the capability of the criterion for discerning between solutions exhibiting ime-intermittent turbulence behaviour and solutions which either are not turbulent or show statistically stationary turbulence, like, for example, in the case described
by Kolmogorov's theory. [Joint work with Guido Gentile].
Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica, Lungotevere Dante 376, aula M2.
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