Appears in collection : 2026 - T2 - WS3 - Idealised mathematical models for geophysical flows

I will first discuss some classical results on the realizability (or not) of d'Alembert's principle of ideal constrained motion in finite dimensions as limits of Newton systems with a strongly confining potential. We will then apply these ideas by analogy to continuum mechanical systems - such as threads and fluids - thereby explaining or correcting the d'Alembert description depending on the character of the initial data.

Co-authors: Daniil Glukhovskiy