2 problems

For any $T>0$ and $b1\in (0,1)$, let $X_T^{\alpha}(t)$ be the $\alpha$-level set of the almost periodic traveling wave solution $u_T(t,x)$, defined by … For each $s\in\mathbb{R}$,…

Attractivity conjecture. In this case, the critical travelling wave is attractive for Heaviside-type initial data.