11 citations · 26 across the 7 of their papers we have counts for
7 papers
The Spatial Whitham Equation
John D. Carter, Diane Henderson, Panayotis Panayotaros
The Whitham equation is a nonlocal, nonlinear partial differential equation that models the temporal evolution of spatial profiles of surface displacement of water waves. However,…
Water wave problem with inclined walls
P. Panayotaros, R. M. Vargas-Magaña
We study free surface water waves in a 2-D symmetric triangular channel with sides that have a 45o slope. We develop models for small amplitude nonlinear waves, extending earlier s…
Spectra of chains connected to complete graphs
J. -G. Caputo, G. Cruz-Pacheco, A. Knippel +1
We characterize the spectrum of the Laplacian of graphs composed of one or two finite or infinite chains connected to a complete graph. We show the existence of localized eigenvect…
Linear Whitham-Boussinesq modes in channels of constant cross-section
R. M. Vargas-Magaña, P. Panayotaros, A. A. Minzoni
We study normal modes for the linear water wave problem in infinite straight channels of bounded constant cross-section. Our goal is to compare semianalytic normal mode solutions k…
Linear guided modes and Whitham-Boussinesq model for variable topogra
R. M. Vargas-Magaña, A. A. Minzoni, P. Panayotaros
In this article we study two classical linear water wave problems, i) normal modes of infinite straight channels of bounded constant cross-section, and ii) trapped longitudinal mod…
Periodic orbits in nonlinear wave equations on networks
Jean-Guy Caputo, Imene Khames, Arnaud Knippel +1
We consider a cubic nonlinear wave equation on a network and show that inspecting the normal modes of the graph, we can immediately identify which ones extend into nonlinear period…
Bistable reaction-diffusion on a network
J. -G. Caputo, G. Cruz-Pacheco, P. Panayotaros
We study analytically and numerically a bistable reaction-diffusion equation on an arbitrary finite network. We prove that stable fixed points (multi-fronts) exist for any configur…