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Existence and uniqueness of solutions of elastic string with moving ends
Author(s) -
Rincon M. A.,
Liu IShih
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.517
Subject(s) - uniqueness , mathematics , string (physics) , tension (geology) , vibration , mathematical analysis , weak solution , classical mechanics , mathematical physics , physics , quantum mechanics , moment (physics)
A mathematical model for the small vibration of an elastic string is considered. The model takes into account the change of tension due to the movement of the end points of the string. Under the assumptions that the speed of the moving ends be less than the characteristic speed of the equation, the existence and the uniqueness of local weak solution and global strong solution are proved. Copyright © 2004 John Wiley & Sons, Ltd.