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Zero viscosity limit for solutions of the Navier Stokes Equations in a 2d domain with curved boundary and no slip boundary condition

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TURW02 - Rigorous analysis of incompressible fluid models and turbulence

This is a report on a work done with Toan Nguyen, Trinh Nguyen and Edriss Titi .Starting from the Kato theorem and using recent contributions of Mayekawa, Nguyen andNguyen and Kukavica, Vicol and Wang we prove the convergence to the solution of the Eulerequation for short time and analyticity hypothesis concerning the boundary and the initial data.Proofs can be adapted both to interior , exterior or non simply connected domain.

This talk is part of the Isaac Newton Institute Seminar Series series.

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