The Lagrange-D'Alembert Principle in Banach Space
Mathematical Physics
2022-01-19 v3 math.MP
Abstract
The Lagrange-D'Alembert Principle is one of the fundamental tools of classical mechanics. We generalize this principle to mechanics-like ODE in Banach spaces. As an application we discuss geodesics in infinite dimensional manifolds and a random ODE with nonholonomic constraint.
Keywords
Cite
@article{arxiv.2112.05276,
title = {The Lagrange-D'Alembert Principle in Banach Space},
author = {Oleg Zubelevich},
journal= {arXiv preprint arXiv:2112.05276},
year = {2022}
}