Metastability of the Nonlinear Wave Equation: Insights from Transition State Theory

Katherine A Newhall, Eric Vanden-Eijnden

This paper is concerned with the long-time dynamics of the nonlinear wave equation in one-space dimension, $$u_{tt}-{\delta }^2{u}_{xx}+V^{\prime }(u)=0x\in [0,1]$$ where $\delta >0$ is a pa…