TY - NEWS
TI - A water wave mixed type problem: existence of periodictravelling waves for a 2D Boussinesq system
AU - Quintero, José R.
AB - In this paper we establish the existence of periodic travelling waves for a 2D Boussinesq type system in threedimensional water-wave dynamics in the weakly nonlinear long-wave regime. For wave speed |c| > 1 and large surface tension, we are able to characterize these solutions through spatial dynamics by reducing a linearly ill-posed mixed type initial value problem to a center manifold of finite dimension and infinite codimension. We will see that this center manifold contains all globally defined small-amplitude solutions of the travelling wave equation for the Boussinesq system that are periodic in the direction of propagation.
DA - 2015-03-30
KW - Ondas viajeras periódicas
KW - Periodic travelling waves
KW - Método de variedad central
KW - Center manifold approach
KW - Estabilidad
KW - Stability
PB - Academia Colombiana de Ciencias Exactas, Físicas y Naturales
UR - https://repositorio.accefyn.org.co/handle/001/838
ER -