Newton's second law as limit of variational problems
Analysis of PDEs
2023-05-01 v1
Abstract
We show that the solution of the Cauchy problem for the classical ode can be obtained as limit of minimizers of exponentially weighted convex variational integrals. This complements the known results about weighted inertia-energy approach to Lagrangian mechanics and hyperbolic equations.
Keywords
Cite
@article{arxiv.2304.15007,
title = {Newton's second law as limit of variational problems},
author = {Edoardo Mainini and Danilo Percivale},
journal= {arXiv preprint arXiv:2304.15007},
year = {2023}
}