| Abstract: |
| Mathematical modelling can not only be used to clarify the mechanism of characteristic features of self-propelled motion, but also to design an original self-propelled system. In this talk, we explain how spatio-temporal features of self-propelled motion can be reproduced by a mathematical model. The model is composed of a reaction-diffusion equation for camphor molecule layer on water surface, and a equation of motion for a self-propelled object. We next treat the existence and stability of a constant velocity solution of the mathematical model, and finally report the motion of multiple self-propelled objects using a numerical simulation and a mathematical analysis. |
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