第143回

日時 Time

7月31日（金）16:30–18:00

場所 Place

金沢大学自然科学５号館数学棟４階コロキウム（オンライン配信はありません）
NST Hall 5, Math building, 4th floor, Colloqium room (no online streaming)

講演者 Speaker

森 洋一朗（ペンシルベニア大学）

タイトル Title

Filaments and Open Membranes in Biofluid Mechanics

概要 Abstract

Systems in which elastic structures interact with the surrounding fluid abound in biophysics. Here, we will focus on problems in which a one-dimensional structure interacts with the surrounding 3D fluid. In contrast to problems in which 2D surfaces interact with a 3D fluid, there are significant analytical and computational issues that have not yet been resolved. First, we discuss slender body theory, which concerns the dynamics of thin filaments in 3D Stokes flow. We formulate a novel boundary value problem for thin filaments and prove the validity and demonstrate limitations of slender body approximation, a commonly used method for the study of such problems. As a second problem, we discuss open membrane dynamics. We formulate the equations and develop a numerical method when the membrane geometry is axisymmetric. Grid refinement is used near the membrane edge to capture the singularity in the stress. We will discuss an application to cell biology and the attendant analytical issues.