3 papers
math.AP2019
Existence of standing pulse solutions to a skew-gradient system
Yung-Sze Choi, Jieun Lee
Reaction-diffusion systems have been primary tools for studying pattern formation. A skew-gradient system is well known to encompass a class of activator-inhibitor type reaction-di…
math.NA2019
A global algorithm for the computation of traveling dissipative solitons
Yung-Sze Choi, Jeffrey M. Connors
An algorithm is proposed to calculate traveling dissipative solitons for the FitzHugh-Nagumo equations. It is based on the application of the steepest descent method to a certain f…
math.AP2017
A variational inequality formulation for transonic compressible steady potential flows: Radially symmetric transonic shock
Yung-Sze Choi, Eun Heui Kim
We establish a variational inequality formulation that captures the transonic shock for a steady compressible potential flow. Its critical point satisfies the transonic equation; m…