2 problems

0 votes0 replies1 view
Existence of complete transition fronts without a global mean speed
Complete-propagation counterexample conjecture. In general, there may exist transition fronts with complete propagation and without global mean speed.
Conjectureopencylindrical-domains reaction-diffusion transition-frontsarXiv posted 2 days ago
0 votes0 replies0 views
Converse mean-speed conjecture for transition fronts in domains with cylindrical branches
Converse mean-speed conjecture. The complete propagation of all the front-like solutions $u_i$ is equivalent to the property that all transition fronts connecting $0$ and $1$ have…
Conjectureopencylindrical-domains reaction-diffusion transition-frontsarXiv posted 2 days ago

Existence of complete transition fronts without a global mean speed