5 problems

Unique convergence-stable diffusion-rate conjecture. For each advection rate

Advection-dependent optimal-dispersal conjecture. When $d_1$ is small, the sign of

No-stable-coexistence conjecture. For case (a), one always has

Moving two-point concentration conjecture. The time-dependent problem should support moving Dirac concentrations supported at two points $(\bar{z}_1(t),\bar{z}_2(t))$, which then c…

Let $U_{\alpha,1}$ denote the value function associated with the exponential ansatz discussed in the strategy section, and let $t$ denote time. Asymptotic value-function conjecture…