70 citations · 101 across the 5 of their papers we have counts for
6 papers
Energetics-based model for a diffusiophoretic motion of a deformable droplet
Hiroyuki Kitahata, Yuki Koyano, Yasuaki Kobayashi +1
We construct a mathematical model for a diffusiophoretic motion of a deformable droplet, which is floating on a liquid surface and is driven by the surface tension gradient origina…
On the existence of a singular limit equation for a model of a self-propelled object motion
Masaharu Nagayama, Koya Sakakibara, Keisuke Takasao
In this paper, a phase-field model is introduced to describe the evolution of a deformable, self-propelled object driven by surface-tension effects. The model couples an Allen-Cahn…
Short-time approximate solutions of an equation modeling a camphor motion
Jishan Fan, Masaharu Nagayama, Gen Nakamura +1
As a profound example of spontaneous motion, we analyze the motion of a camphor particle on a water surface. The motion is modeled as an initial-boundary value problem for a couple…
Two floating camphor particles interacting through lateral capillary force
Yuhei Hirose, Yusuke Yasugahira, Mamoru Okamoto +4
We consider a mathematical model for a two-particle system driven by the spatial gradient of a concentration field of chemicals with conservative attractive interactions in one dim…
Interplay between epidermal stem cell dynamics and dermal deformations
Yasuaki Kobayashi, Yusuke Yasugahira, Hiroyuki Kitahata +3
We introduce a particle-based model of self-replicating cells on a deformable substrate composed of the dermis and the basement membrane and investigate the relationship between de…
Chemo-Sensitive Running Droplet
Yutaka Sumino, Masaharu Nagayama, Hiroyuki Kitahata +4
Chemical control of the spontaneous motion of a reactive oil droplet moving on a glass substrate under an aqueous phase is reported. Experimental results show that the self-motion…