**abstract:**
In this talk we shall address the vanishing viscosity limit and
analyze the structure of the boundary layer for solutions of the
Primitive Equations with the non-slip boundary condition on the bottom
of the domain.
Under the hypothesis of spatial analyticity of the initial datum,
we shall prove that the solutions of the Primitive Equations converge,
in the zero viscosity limit, to the solutions of the Hydrostatic equations.
We construct the solution of the Primitive Equation through
a matched asymptotic expansion involving the solution of the
Hydrostatic equation and Boundary Layer correctors as the first order term,
and an error that we show to be $O(\sqrt{\nu})$.

Mon 5 Feb, 11:45 - 12:20, Aula Dini

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