2 papers
math.AP2017
Stability of a planar front in a multidimensional reaction-diffusion system
Anna Ghazaryan, Yuri Latushkin, Xinyao Yang
We study the planar front solution for a class of reaction diffusion equations in multidimensional space in the case when the essential spectrum of the linearization in the directi…
math.DS2016
Stable foliations near a traveling front for reaction diffusion systems
Yuri Latushkin, Roland Schnaubelt, Xinyao Yang
We establish the existence of a stable foliation in the vicinity of a traveling front solution for systems of reaction diffusion equations in one space dimension that arise in the…