Equality of the minimal and maximal travelling-wave speeds

About 13 years old · traced to

Let c‾≤c‾\underline{c}\leq\overline{c} be the speed bounds defined by Theorem. Speed-threshold conjecture.

c‾=c‾.\underline{c}=\overline{c}.

The conjecture asserts that the interval of admissible speed thresholds collapses to a single value, consistent with the numerical observations for KPP, monostable, and bistable nonlinearities in the favourable area. The provided text does not establish this equality analytically.

References

Primary source

Juliette Bouhours and Gregoire Nadin, “A variational approach to reaction diffusion equations with forced speed in dimension 1”, arXiv:1310.3689 (2014).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.