IIMAS - FENOMEC
UNAM
Ondas estacionarias en flujos sobre
fondos periódicos
Resumen:
In this talk we present the formation of steady waves in
two dimensional fluids under a current with mean velocity c
flowing over a periodic
bottom. Using a formulation based on the Dirichlet-Neumann
operator we
establish the unique continuation of steady solution from the
trivial
solution for a flat bottom with the exception of a sequence of
resonant
velocities $c_{k}$. Furthermore, we prove that at least two
steady solutions
persist from a non-degenerate $S^{1}$-orbit of steady waves
for a flat
bottom. Consequently, for near flat bottoms, we obtain the
persistence of at
least two steady waves close to the $S^{1}$-orbit of Stokes
waves
bifurcating from the velocities $c_{k}$.
Informes: coloquiomym@gmail.com, o al 5622-3564.