CAM Seminar

August 29, 2018

Soyeun Jung, Kongju National University, Republic of Korea

Title: Turing patterns in viscous systems of conservation laws and numerically observed stability of periodic waves

Abstract:Turing patterns on unbounded domains have been widely studied in systems of reaction-diffusion equations. However, up to now, they have not been studied for viscous systems of conservation laws. Here, we derive conditions for Turing instability in viscous systems of conservation laws and use these conditions to find families of periodic solutions bifurcating from uniform states, numerically continuing these families into the large-amplitude regime.

CAM Seminar Fall 2018