NDLI: A water wave mixed type problem : existence of periodic travelling waves for a 2 D Boussinesq system

Content Provider	Semantic Scholar
Author	Quintero, Jose R.
Copyright Year	2015
Abstract	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.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.scielo.org.co/pdf/racefn/v39n150/v39n150a01.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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