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The Long‐Time Behavior of Solutions of a Nonlinear Fourth Order Wave Equation, Describing the Dynamics of Marine Risers
Author(s) -
Kalantarov V. K.,
Kurt A.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770310
Subject(s) - nonlinear system , dynamics (music) , boundary value problem , drilling riser , order (exchange) , zero (linguistics) , mathematics , mathematical analysis , physics , control theory (sociology) , computer science , engineering , quantum mechanics , acoustics , mechanical engineering , drilling , linguistics , philosophy , control (management) , finance , artificial intelligence , economics
The fourth order nonlinear equation describing the dynamics of marine risers is considered. It is established that the zero solution of the boundary value problem for the considered equation is globally asymptotically stable. Moreover, an estimate of the rate of decay of the solutions is obtained.