Speaker: Beatrice Pelloni, Heriot-Watt University
Date: April 28, 2022
Title: Time-periodic boundary value problem for dispersive PDEs
Abstract: I will describe the large time behaviour of the solution of dispersive PDEs posed on a finite interval, when at least one of the prescribed boundary conditions is time periodic. From the mathematical point of view this is a classical problem. From the physics point of view, such situations arise as models for experimental situations in which a periodic boundary input is driving, solely or in conjuction with a given initial state, the dynamics of the model, e.g. waves along a finite channel, or temperature in a finite rod. I will survey the existing results, linear and nonlinear, and show some new results for linearised problems.