セミナー

森洋一朗氏・明治非線型数理セミナー合同開催

応用数理学会会員の皆様へ.

このたび、森洋一朗氏（ペンシルベニア大学）特別講演会を明治非線型数理セミナーと合同開催します。

講演者：　森　洋一朗氏（ペンシルベニア大学）

講演タイトル：Filament and Membrane Hole Dynamics in Fluid Flow（流体中のフィラメントと膜小孔のダイナミクス）

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 the problem of 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.

The simulated dynamics of membrane hole closure is compared with simpler ODE models.

詳細はこちらからご覧ください。

お問い合わせ先

氏名：明治大学先端数理科学インスティテュート
Eメール：mims_AT_mics.meiji.ac.jp