Table of Contents
ISRN Mathematical Analysis
Volume 2011, Article ID 894983, 10 pages
http://dx.doi.org/10.5402/2011/894983
Research Article

Modelling Adopter Behaviour Based on the Navier Stokes Equation

1Kanagawa Academy of Science and Technology (KAST), Advance Power Electronics Project, KSP, 3-2-1 Sakado, Takatsu-ku, Kanagawa, Kawasaki City, 213-0012, Japan
2ETH Zurich, Department Of Computational Science and Engineering, Universittstraβe 6, 8092 Zurich, Switzerland

Received 4 October 2010; Accepted 14 November 2010

Academic Editor: L. Thibault

Copyright © 2011 Kazunori Shinohara and Serban Georgescu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Aiming to improve the current models describing the diffusion of innovation, a method based on an analogy with a physical system is presented. In particular, we model the movement of adopters of a particular innovation as a flow and the diffusion of the innovation as heat diffusion, thus making use of mathematical tools such as the Navier-Stokes equation. Building on our previous work, in this study we focus on the movement of adopters in the simulation domain, which we refer to as convection. As an application to modeling the convection phenomenon, we simulate the flow of people in a real building floor, the Tokyo Aquarium. Besides being a necessary part when simulating diffusion of innovations, such a modeling approach may also prove useful in different fields, such as deciding layout of public spaces or evacuation policies.