| Abstract: |
| Many experimental systems of self-propelled motion have been reported, and many mathematical models have been proposed for the motion of objects with fixed shapes. On the other hand, there are not many mathematical models of self-propelled motion with deformations. In this study, we propose a volume-conserving phase-field model that approximates the deformation self-propelled motion. By taking the singular limit for the mathematical model, a physical model describing the self-propelled motion can be derived. Finally, using the computer-assisted analysis, we show that the phase-field model can be an approximate model of the self-propelled motion model. |
|