تقرير
Newton's second law as limit of variational problems
| العنوان: | Newton's second law as limit of variational problems |
|---|---|
| المؤلفون: | Mainini, Edoardo, Percivale, Danilo |
| المصدر: | Advances in Continuous and Discrete Models (2023), 20:2023 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1186/s13662-023-03766-4 |
| URL الوصول: | http://arxiv.org/abs/2304.15007 |
| رقم الأكسشن: | edsarx.2304.15007 |
| قاعدة البيانات: | arXiv |
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