時間学研究所　兼務所員
大学院創成科学研究科（理学）　助教

PROFILE
日本女子大学大学院博士課程後期修了、博士（理学）
日本女子大学にて博士（理学）取得後、現職

RESEARCH
物理法則に基づいた弾性閉曲線の伸縮運動を表す微分方程式モデルの構築と, その数学解析に取り組んでいる. 具体的には, 空間4階導関数項を主要項とするbeam方程式に対する初期値境界値問題を考える. 関数解析的手法を用いた可解性の議論により, 再現性の高いモデルの構築を目指す.

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Assistant Professor Kosugi obtained a Ph.D from Japan Women’s University. One of her research fields is partial differential equation. Her research purpose is to construct a mathematical model representing shrinking and stretching motions of the elastic curve. In this research she considers the initial and boundary value problems for the beam equation. The beam equation is a partial differential equation whose principal term contains the spatial fourth-order derivative. She proved the existence and uniqueness of several initial and boundary value problems based on the functional analysis. Through the analysis of stationary and obstacle problems, she aims to construct a mathematical formulation that characterizes the behavior of elastic materials. She is also interested in improving the accuracy of
numerical calculations for these problems.