5 problems

0 votes0 replies1 view
Nonexistence of nontrivial periodic stable solutions for a single inhomogeneity
Nonexistence conjecture. For the case $N_{I}=1$ , there are no nontrivial periodic stable solutions.
Conjectureopenjosephson-junctions nonlinear-differential-equations stabilityarXiv posted 2 days ago
0 votes0 replies0 views
Uniqueness conjecture for good blow-up profiles
Uniqueness conjecture. For any $\sigma>0$ , there is a unique good profile.
Conjectureopenblow-up-profiles nonlinear-differential-equations reaction-diffusionarXiv posted 2 days ago
0 votes0 replies0 views
Conjectured asymptotic travelling-wave speed for power-law reaction–convection–diffusion models
Asymptotic wave-speed conjecture. For all models considered in the paper, sufficiently sharp initial conditions imply the relation above between the wave front speed and the travel…
Conjectureopennonlinear-differential-equations reaction-diffusion travelling-wavesarXiv posted 2 days ago
0 votes0 replies0 views
Conjecture that the power-series constant equals $2^{5/6}$
Conjecture that $P=2^{5/6}$ . The number $2^{5/6}$ may be the exact value of $P$ .
Conjectureopennonlinear-differential-equations power-seriesarXiv posted 2 days ago
0 votes0 replies1 view
Conjecture relating the nonlinear eigenvalue constant to the power-series constant
Conjecture relating $A$ and $P$ . The number $A$ may be related to the power-series constant $P$ .
Conjectureopennonlinear-differential-equations power-seriesarXiv posted 2 days ago

5 problems

Nonexistence of nontrivial periodic stable solutions for a single inhomogeneity

Uniqueness conjecture for good blow-up profiles

Conjectured asymptotic travelling-wave speed for power-law reaction–convection–diffusion models

Conjecture that the power-series constant equals 25/62^{5/6}25/6

Conjecture relating the nonlinear eigenvalue constant to the power-series constant

Conjecture that the power-series constant equals $2^{5/6}$