4 citations · 5 across the 3 of their papers we have counts for
4 papers
Traveling wave solutions to the Allen-Cahn equation
Chao-Nien Chen, Vittorio Coti Zelati
For the Allen-Cahn equation, it is well known that there is a monotone standing wave joining with the balanced wells of the potential. In this paper we study the existence of trave…
Front propagation in both directions and coexistence of traveling fronts and pulses
Chao-Nien Chen, Y. S. Choi
For scalar reaction-diffusion equations, a traveling wave is a front which transforms a higher energy state to a lower energy state. The same is true for a system of equations with…
The -limit of traveling waves in the FitzHugh-Nagumo system
Chao-Nien Chen, Y. S. Choi, Nicola Fusco
Patterns and waves are basic and important phenomena that govern the dynamics of physical and biological systems. A common theme in investigating such systems is to identify the in…
Multiple front standing waves in the FitzHugh-Nagumo equations
Chao-Nien Chen, Eric Séré
There have been several existence results for the standing waves of FitzHugh-Nagumo equations. Such waves are the connecting orbits of an autonomous second-order Lagrangian system…