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Session S37 - New Developments in Mathematical Fluid Dynamics

Monday, July 19, 19:00 ~ 19:25 UTC-3

The limit Euler-$\alpha$ to Euler in domains with boundary

MILTON Lopes Filho

Universidade Federal do Rio de Janeiro, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The Euler-$\alpha$ equations are a regularization of the incompressible Euler system, obtained by dynamical averaging of small scales. The problem of identifying the limiting behavior of solutions when $\alpha \to 0$ is similar to the analogous problem for vanishing viscosity, but with important differences. In this talk we discuss several results concerning this limit, assuming no-slip boundary conditions and initial data increasingly irregular.

Joint work with Adriana Valentina Busuioc (U. St. Etienne), Dragos Iftimie (U. Lyon) and Helena Nussenzveig Lopes (UFRJ).

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