2 papers
math.AP2026
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…
nlin.PS2026
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…