19 citations · 19 across the 2 of their papers we have counts for
2 papers
math.DS2017
Bifurcation to coherent structures in nonlocally coupled systems
Arnd Scheel, Tianyu Tao
We show bifurcation of localized spike solutions from spatially constant states in systems of nonlocally coupled equations in the whole space. The main assumptions are a generic bi…
math.AP2013★ 19 cited
Transition fronts for inhomogeneous monostable reaction-diffusion equations via linearization at zero
Tianyu Tao, Beite Zhu, Andrej Zlatos
We prove existence of transition fronts for a large class of reaction-diffusion equations in one dimension, with inhomogeneous monostable reactions. We construct these as perturbat…