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Equazioni alle Derivate Parziali nella Dinamica dei Fluidi

Some results on 2D Euler equations in distributional spaces

speaker: Franco Flandoli (Scuola Normale Superiore)

abstract: We elaborate a result of Albeverio and Cruzeiro about existence of solutions of 2D Euler equations for almost every initial condition with respect to a certain Gaussian measure, supported on a space of distributional vorticity fields. We give a different proof of the result, based on the weak vorticity formulation used classically for measure-valued solutions. This way, we can prove that Albeverio-Cruzeiro solutions are limit of point vorticies and of solutions with bounded vorticity.

Mon 5 Feb, 14:30 - 15:05, Aula Dini
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