Math Colloquium Feb. 22, 2019

Place/Time:     Friday, February 22nd, 2019 2:30pm in Natural Sciences Room 212C

Speaker:          Soyeun Jung

Kongju National University

Title:               Turing patterns in parabolic systems of conservation laws

and numerically observed stability of periodic waves


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 systems of conservation laws. Here, we derive conditions for Turing instability in 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.

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