| Abstract: |
| Many theoretical studies using mathematical models for experiments on the self-propelled motion have been reported. Mathematical modeling can not only clarify the mechanism of self-propelled motion, but also design new experimental systems of self-propelled systems. 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 of multiple self-propelled solution of the mathematical model, and finally discuss the stability of such solutions. |
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