title   
  

Generalized solutions for inextensible string equations

Warning The system is temporarily closed to updates for reporting purpose.

Şengül, 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)

[img]PDF - Registered users only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
423Kb

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
ID Code:33218
Deposited By:Yasemin Şengül Tezel
Deposited On:22 Aug 2017 14:12
Last Modified:22 Aug 2017 14:12

Repository Staff Only: item control page