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math.AP2022
Mass and spring dimer Fermi-Pasta-Ulam-Tsingou nanopterons with exponentially small, nonvanishing ripples
Timothy E. Faver, Hermen Jan Hupkes
We study traveling waves in mass and spring dimer Fermi-Pasta-Ulam-Tsingou (FPUT) lattices in the long wave limit. Such lattices are known to possess nanopteron traveling waves in…
math.AP2022
Scaling Relations for Auxin Waves
Timothy E. Faver, Hermen Jan Hupkes, Roeland M. H. Merks +1
We analyze an 'up-the-gradient' model for the formation of transport channels of the phytohormone auxin, through auxin-mediated polarization of the PIN1 auxin transporter. We show…