2 papers
math.AP2026
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…
math.DS2026
Dynamics of Interfaces in the Two-Dimensional Wave-Pinning Model
Shunsuke Kobayashi, Koya Sakakibara, Taikei Uechi
We study the mass-conserved reaction-diffusion system known as the wave-pinning model, which serves as a minimal framework for describing cell polarity. In this model, the interpla…