Şengül Tezel, Yasemin and Vorotnikov, Dmitry (2017) Generalized solutions for inextensible string equations. Journal of Differential Equations, 262 (6). pp. 3610-3641. ISSN 0022-0396 (Print) 1090-2732 (Online)
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Official URL: http://dx.doi.org/10.1016/j.jde.2016.11.040
Abstract
We study the system of equations of motion for inextensible strings. This system can be recast into a discontinuous system of conservation laws as well as into the total variation wave equation. We prove existence of generalized Young measure solutions with non-negative tension after transforming the problem into a system of conservation laws and approximating it with a regularized system for which we obtain uniform estimates of the energy and the tension. We also discuss sufficient conditions for non-negativity of the tension for strong solutions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | inextensible string, generalized Young measure, whip, 1-Laplacian, principle of least action, conservation law |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Yasemin Şengül Tezel |
| Date Deposited: | 22 Aug 2017 14:12 |
| Last Modified: | 26 Apr 2022 09:48 |
| URI: | https://research.sabanciuniv.edu/id/eprint/33218 |
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