Global dynamics and spectrum comparison of a reaction-diffusion system with mass conservation
Analysis of PDEs
2015-11-13 v1
Abstract
We study global-in-time behavior of the solution to a reaction-diffusion system with mass conservation, as proposed in the study of cell polarity, particularly, the second model of \cite{oi07}. First, we show global-in-time existence of solution with compact orbit and then we examine stability and instability of stationary solutions.}{Reaction diffusion system; mass conservation; cell polarity; global-in-time behavior; Lyapunov function.
Keywords
Cite
@article{arxiv.1511.04016,
title = {Global dynamics and spectrum comparison of a reaction-diffusion system with mass conservation},
author = {Evangelos Latos and Yoshihisa Morita and Takashi Suzuki},
journal= {arXiv preprint arXiv:1511.04016},
year = {2015}
}