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On the stability of kink solutions of the Phi^4 model in 1+1 space time dimensions

Jean-Marc Delort
Institution: 
Paris 13
Schedule: 
Tuesday, March 23, 2021 - 15:00 to 16:00
Location: 
Online
Abstract: 

A kink solution is an explicit stationary solution to the nonlinear wave equation equation $(\partial_t^2-\partial_x^2)\phi = \phi - \phi^3$ in one space dimension. We consider a small perturbation of this stationary solution, smooth and decaying at infinity. We obtain explicit rates of decay of that perturbed solution for large times that are $O(\epsilon^{-4})$, where $\epsilon$ is the size of the initial data. This is joint work with Nader Masmoudi.

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