The mathematical theory of the Prandtl equation.

The mathematical theory of the Prandtl equation.

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David Gerard-Varet, Université Denis Diderot Paris 7
Fine Hall 322

At high Reynolds number, viscous flows near a solid wall exhibit a *boundary layer* behavior, that is strong velocity gradients near the wall. To describe this boundary layer, a formal asymptotic model was written down by Prandtl in 1904. Although very classical, the Prandtl model still raises mathematical difficulties. We shall discuss these difficulties and recent progress in the talk (based on a joint work with Nader Masmoudi).