Preprint A341/2004
A Note on solutions to a model for long
internal waves in a rotating fluid

Aniura Milanes | Linares, Felipe

**Keywords: **
Benjamin-Ono equation | smoothing effects

In this note we consider solutions of a nonlinear
model for internal waves and its linearized version. We obtain a series of
regularizing estimates for solutions of the linearized problem via the
oscillatory integrals theory established in [9]. We also show a
local smoothing effect for solutions
of the nonlinear problem reminiscent of the one proved for solutions of
the Benjamin-Ono equation in [15].