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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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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