Periodic Wave Patterns of two-dimensional Boussinesq systems
We prove the existence of a large
family of two-dimensional travelling wave patterns for a Boussinesq
system which describes three-dimensional water waves. This model
equations result from full
Euler equations in assuming that the depth of the fluid layer is
small with respect to the
horizontal wave length, and that the flow is potential, with a free
surface without surface tension. Our proof uses Lyapunov-Schmidt method
which may be managed here, contrary to the case of gravity waves with full Euler equations.
Our results are in a good
agreement with experimental results.
Min Chen (email@example.com)