On the existence of the solutions for the inextensible string equations

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Telciyan, Ayk (2018) On the existence of the solutions for the inextensible string equations. [Thesis]

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Abstract

In this thesis, we analyze existence of solutions for inextensible string equations. In particular, we have results in two directions. On one hand, we find explicit traveling wave solutions for a system of hyperbolic conservation laws resulting from inextensible string equations via suitable change of variables. Then, we relate this solution with entropy and shock-wave solutions for which an established theory already exists. On the other hand, we consider the problem with periodic boundary conditions and show local existence of solutions using well-studied results related to the wave equation.
Item Type: Thesis
Uncontrolled Keywords: Inextensible string. -- Hyperbolic conservation law. -- Traveling waves. -- Periodic boundary conditions. -- Existence of solutions. -- Uzamayan sicim. -- Hiperbolik korunum yasası. -- Gezen dalgalar. -- Periyodik sınır değerleri. -- Sonuçların varlığı.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 03 Oct 2018 11:51
Last Modified: 26 Apr 2022 10:26
URI: https://research.sabanciuniv.edu/id/eprint/36598

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