Appearance of turbulence in the Euler limit with Boundary effects

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• Claude Bardos, Paris VI
• Monday 01 December 2014, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Dr Amit Einav.

It seems that it is in presence of boundary effects that the classical issues of turbulence i.e., loss of regularity, the appearance of a non trivial Reynolds stress tensor and anomalous energy dissipation are the more visible. Up to now the only general result is a theorem of Kato which connect these different effects. I intend to give some observation on these issues using first the notion of wild solution of De Lellis and Sz\’{e}kelyhidi. Then, to show the robustness of this problem to compare zero viscosity limit of the Navier Stokes in presence of boundary effects with macroscopic limit of the Boltzmann equation in the incompressible limit. Most of the material of this talk is contained in a joint paper with Francois Golse and Lionel Paillard.

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

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