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Gradient-like Property and Spectral Comparison in a Reaction-diffusion System with Mass Conservation
Yoshihisa Morita(Ryukoku University)
2018-01-01 12:13  华东师范大学

NYU – ECNU
Institute of Mathematical Sciences at NYU Shanghai

PDE/ANALYSIS SEMINAR

ABSTRACT OF THE TALK

We are concerned with a two-component reaction-diffusion system with conservation of mass. While this system allows a Turing type instability, the asymptotic state of solutions observed by a numerics shows a simple spatial pattern. We reveal some stability property for equilibria of the system by a Lyapunov function and a spectral comparison argument, in consequence it explains the numerical observation.

BIOGRAPHY

Yoshihisa Morita is Professor of Ryukoku University. He received his Doctor of Science from Kyoto University 1987. He is interested in Nonlinear PDEs, especially reaction-diffusion equations and Ginzburg-Landau equations. His work is centered in pattern formations and dynamics of those equations.