Accelerating fronts in semilinear wave equations

Bernardo Galvão-Sousa, Robert L. Jerrard

We study dynamics of interfaces in solutions of the equation $\epsilon \square u+\frac{1}{\epsilon }{f}_{\epsilon }(u)=0$, for $f_{\epsilon }$ of the form $f_{\epsilon }(u)=(u^2-1)(2u-\epsilon \kappa )$, for $\kappa \in \mathbb{R}$, as well as mor…