4 papers · 1 filter
Well-posedness of the Langmuir film problem
Yoichiro Mori, Shinya Okabe, Koya Sakakibara
We analyze the inviscid Langmuir layer--Stokesian subfluid (ILLSS) model for two-phase Langmuir monolayers coupled to a Stokes flow in the underlying subfluid. Eliminating the bulk…
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…
On segmentation by total variation type energies of Kobayashi-Warren-Carter type with fidelity
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +2
We consider a total variation type energy which measures the jump discontinuities different from usual total variation energy. Such a type of energy is obtained as a singular limit…
A thresholding algorithm to Willmore-type flows via fourth order linear parabolic equation
Katsuyuki Ishii, Yoshihito Kohsaka, Nobuhito Miyake +1
We propose a thresholding algorithm to Willmore-type flows in . This algorithm is constructed based on the asymptotic expansion of the solution to the initial value p…