BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Constant vorticity water waves Ifrim, Mihaela

Description

The talk is concerned with the incompressible, infinite depth water wave equation in two space dimensions, with gravity and constant vorticity but with no surface tension. We consider this problem expressed in position-velocity potential holomorphic coordinates, and prove local well-posedness for large data, as well as cubic lifespan bounds for small data solutions.

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Attribution-NonCommercial-NoDerivatives 4.0 International