3 problems

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Hosono's vertical-asymptote conjecture for the Lotka–Volterra transition curve
Consider the Lotka–Volterra competition model with parameters $a_1$ and $a_2$ , and fix $a_1=0.5$ . In the parameter space of this model, the pushed-to-pulled transition curve separa…
Conjectureopenlotka-volterra reaction-diffusion traveling-frontsarXiv posted 2 days ago
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The marginal stability conjecture for front selection
A front has a leading edge describing its asymptotic behavior in the direction of invasion, and it is marginally stable when the leading-edge spectrum touches the stability boundar…
Conjectureopenreaction-diffusion stability traveling-frontsarXiv posted 2 days ago
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The semigroup-generation conjecture for linearized hyperbolic traveling fronts
Consider a traveling front for a nonlinear hyperbolic equation of bistable type, and let the corresponding linearized operator act on the phase space used for the spectral stabilit…
Conjectureopenhyperbolic-equations spectral-stability traveling-frontsarXiv posted 2 days ago

Hosono's vertical-asymptote conjecture for the Lotka–Volterra transition curve