Applied Math Seminar

Date: March 24, 2025

Time: 4:00PM - 5:00PM

Location: Zoom

Speaker: Andre Nachbin, WPI, Worcester, MA

Title: Water waves on graphs

Abstract: We have deduced a weakly nonlinear, weakly dispersive Boussinesq system for water waves on a 1D branching channel, namely on a graph. The model required a new compatibility condition at the graph’s node, where the main reach bifurcates into two reaches. The new nonlinear compatibility condition generalizes the well-known Neumann-Kirchhoff condition and includes forking angles in a systematic fashion. We present numerical simulations comparing solitary waves on the 1D (reduced) graph model with results of the (parent) 2D model, where a compatibility condition is not needed. We will comment on new problems that arise. Join :https://tamu.zoom.us/j/94220070032