ncku-talk2007-03-29

NCKU Math colloquium

DATE 2007-03-29　16:10-17:00

PLACE 數學館地下室演講廳

SPEAKER Chin-Chin Wu（National Taiwan Normal University）

TITLE Traveling waves of bistable dynamics in discrete periodic media

ABSTRACT We study the existence, uniqueness, and stability of traveling waves for a system of ordinary differential equations with bistable nonlinearity in discrete periodic media. This system arises from a spatial discrete version of some semilinear parabolic equations with periodic nonlinearity. The main tools to derive the uniqueness and asymptotic stability are comparison principle, spectrum analysis of the linearized operator around a steady state, and the construction of suitable super/subsolutions. To derive the existence of traveling wave, we first convert the system to an integral equation. Then we establish the existence of traveling wave for this system of ordinary differential equations.

NCKU Math colloquium

DATE	2007-03-29　16:10-17:00

PLACE	數學館地下室演講廳

SPEAKER	Chin-Chin Wu（National Taiwan Normal University）

TITLE	Traveling waves of bistable dynamics in discrete periodic media

ABSTRACT	We study the existence, uniqueness, and stability of traveling waves for a system of ordinary differential equations with bistable nonlinearity in discrete periodic media. This system arises from a spatial discrete version of some semilinear parabolic equations with periodic nonlinearity. The main tools to derive the uniqueness and asymptotic stability are comparison principle, spectrum analysis of the linearized operator around a steady state, and the construction of suitable super/subsolutions. To derive the existence of traveling wave, we first convert the system to an integral equation. Then we establish the existence of traveling wave for this system of ordinary differential equations.