Energy decay rate of the solutions of a marine riser equation with a variable coefficient | Zendy

M. Meyvacı | Zendy

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Energy decay rate of the solutions of a marine riser equation with a variable coefficient

Author(s) -

M. Meyvacı

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000850

Subject(s) - variable (mathematics) , variable coefficient , drilling riser , physics , environmental science , mechanics , control theory (sociology) , mathematics , mathematical analysis , engineering , computer science , control (management) , mechanical engineering , drilling , artificial intelligence

In this work the initial boundary value problem for a fourth order non linear equation which describes the marine riser is studied : utt + kuxxxx − [a(x)ux]x + γutx + b(t)ut|ut| = 0, x ∈ [0, l], t > 0, Under appropriate conditions on a(x) and b(t), we prove that the energy of the problem tends to zero as t→∞.

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