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On boundary effect for zero viscosity limit of solutions of Navier-Stokes

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If you have a question about this talk, please contact Prof. Clément Mouhot .

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This contribution is based on the Kato theorem and on some work which I started with Edriss Titi and continued with Wiedemann and Szekelyhidi. To the best of my knowledge the Kao theorem provides the simplest relation between the anomalous energy dissipation and the appearance of turbulence. For such anomalous energy dissipation both if and only if conditions and sufficient conditions have been provided. But what is striking is that these conditions are in full agreement with observations coming from engineering science or fluid mechanic litterature.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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