青山数理セミナー
理工学部数理サイエンス学科・大学院理工学研究科基礎科学コース
第89回
- 日時:2026年2月18日(水)15:10~(60分+質疑応答の予定)
- 場所:青山学院大学 理工学部 相模原キャンパス(O棟1階 O122b) (通常と異なるのでご注意ください)
- 講師:Gerard Misiolek 氏 (University of Norte Dame)
- 題目:Hydrodynamics as a model of an infinite-dimensional Riemannian geometry
- Abstract: There are two main approaches to study nonlinear equations of fluid dynamics pedigree: Eulerian and Lagrangian. The former can be viewed as "high-tech" as it is typically based on technical PDE estimates in various (more or less exotic) function spaces. The latter is more “basic” and leads to a coherent geometric picture which can serve as a rough intuitive guide. It also offers certain technical advantages - eg. when it comes to questions involving regularity of the associated solution maps. I will try to illustrate this last point in the case of the incompressible Euler equations of ideal hydrodynamics.