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arXiv · 1511.04016

Global dynamics and spectrum comparison of a reaction-diffusion system with mass conservation

Evangelos Latos·Yoshihisa Morita·Takashi Suzuki
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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.

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Evangelos Latos, Yoshihisa Morita, Takashi Suzuki. 2015-11-12. Global dynamics and spectrum comparison of a reaction-diffusion system with mass conservation. https://arxiv.org/abs/1511.04016

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