Blow up phenomena for shadow system of Gierer-Meinhardt model

Applied Analysis Seminar

Meeting Details

For more information about this meeting, contact Leonid Berlyand.

Speaker: Aaron Yip, Purdue University

Abstract: We will present some results of blow-up phenomena for the shadow system obtained from the Gierer-Meinhardt model. Shadow system is formally derived by letting the diffusion coefficient of one of the components tend to infinity, leading to a coupled system of a diffusion and an ordinary differential equation. There is a huge discrepancy in terms of long time behaviors between the shadow and the original Gierer-Meinhardt systems. We will demonstrate this using integral estimates and a fixed point theorem.

Room Reservation Information

Room Number: 106 McAllister

Date: 03/25/2014

Time: 4:00pm - 4:59pm