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BIRS Workshop Lecture Videos

On the limit $\alpha\to 0$ for the $\alpha$-Euler equations Iftimie, Dragos

Description

We consider the $\alpha$-Euler equations in a bounded domain and discuss various results about the limit $\alpha \to 0$. This is a singular limit where, as in the vanishing viscosity limit, one has to deal with boundary layer issues. In the case of the dimension three and the Navier boundary conditions, we prove the expected convergence result by using conormal Sobolev spaces. This is joint work with V. Busuioc, M. Lopes Filho and H. Nussenzveig Lopes.

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