Newton's second law as limit of variational problems

Autor: Mainini, Edoardo, Percivale, Danilo
Rok vydání: 2023
Předmět:
Zdroj: Advances in Continuous and Discrete Models (2023), 20:2023
Druh dokumentu: Working Paper
DOI: 10.1186/s13662-023-03766-4
Popis: We show that the solution of the Cauchy problem for the classical ode $m \mathbf y''=\mathbf f$ 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.
Databáze: arXiv