| Abstract: |
| In this talk we will present an abstract framework for the theory of statistical solutions for general evolution equations. This theory extends the notion of statistical solutions initially developed for the 3D incompressible Navier-Stokes equations to other evolution equations that have global solutions which are not known to be unique. We will prove the convergence of statistical solutions of regularized evolution equations to statistical solutions of the original one. The applicability of the theory will be illustrated with the 2D inviscid limit, that is, the convergence of statistical solutions of the 2D Navier-Stokes to the statistical solutions of the 2D Euler equations. |
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