Abstract framework for statistical solutions of evolution equations

Ricardo Rosa
Federal University of Rio de Janeiro

Statistical solutions have been introduced to address the evolution of probability distributions of initial conditions of the three-dimensional Navier-Stokes equations. The main issue is the lack of a global well-posedness result for the initial value problem, preventing the definition of the evolution of the measure by the transport of a semigroup. Our aim in this talk is to present a formulation, in a general abstract setting, that extends the concept and the corresponding initial value problem to other evolution equations that may suffer from a similar pathology. This is a joint work with Anne Bronzi and CecĂ­lia Mondaini.

Presentation (PDF File)

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