25 citations · 39 across the 13 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
math.AP2025
Generic mean curvature flow with obstacles
Tim Laux, Keisuke Takasao
We study the obstacle problem associated to mean curvature flow. We add to the geometric vanishing-viscosity approximation of Evans and Spruck a singular perturbation that penalize…
math.AP2025
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…
math.AP2025
Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow
Andrea Chiesa, Keisuke Takasao
In this paper, we propose a new notion of Brakke inequality for volume preserving mean curvature flow. We show the existence of integral varifolds solving the flow globally-in-time…