5 problems

Differential-diffusion conjecture. Differential diffusion is a necessary condition for the stability, and thus the physical realization, of Turing patterns.

Patchy-pattern conjecture. The model might show unexpected behavior around the positive steady state $(\overline{\beta},\overline{\gamma})$, potentially giving rise to patchy infla…

Turing-like sub-structure conjecture. A Turing-like pattern of dimension $d$ exhibits sub-structures of every dimension from $0$ to $d-1$. Moreover, each structure of dimension $0$…

Volumetric extent conjecture. The structures “areas”, “UC pipes”, and “UC spheres” will gain volumetric extent when the values of $R_1$ and $R_2$ are increased further.

DC pipes growth conjecture. The wedge formed by the “DC pipes” triples will grow larger and wider as $R_1$ and $R_2$ increase.