4 problems

Let $(u,L)$ solve the free-boundary problem, and define … Let $\Pi_{\min}(x):=\int_x^{\infty}\pi_{\min}(y)\,dy$ denote the integrated minimal travelling wave. Minimal travelling-wa…

Fix $\kappa>0$ and define … Let $\bar{m}\in(0,m^*(\kappa)]$ and $c\geq2\sqrt{1-\bar{m}}$. For the travelling-wave system in the source, let $\alpha_0(c)$ and $\alpha_1(c)$ be the s…

Let $\underline{c}\leq\overline{c}$ be the speed bounds defined by Theorem. Speed-threshold conjecture. … The conjecture asserts that the interval of admissible speed thresholds co…

Let $\mathfrak{D}_{n}$ denote the set of parameter pairs $(\tau,c)\in\mathbb{R}_+^2$ for which equation (17) admits a non-monotone wavefront, and let $c^*(\tau)$ and…