Kalantarov, V. K.; Kurt, A. The long-time behavior of solutions of a nonlinear fourth-order wave equation, describing the dynamics of marine risers. (English) Zbl 0881.76015 Z. Angew. Math. Mech. 77, No. 3, 209-215 (1997). Summary: 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 decay rate of the solutions is obtained. Cited in 7 Documents MSC: 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 76E20 Stability and instability of geophysical and astrophysical flows 86A05 Hydrology, hydrography, oceanography 35Q35 PDEs in connection with fluid mechanics Keywords:asymptotic stability of zero solution; decay rate PDFBibTeX XMLCite \textit{V. K. Kalantarov} and \textit{A. Kurt}, Z. Angew. Math. Mech. 77, No. 3, 209--215 (1997; Zbl 0881.76015) Full Text: DOI References: [1] Haraux, Arch. Rat. Mech. Anal. 100 pp 191– (1987) [2] Köhl, Z. angew. Math. Mech. 73 pp 85– (1993) [3] Marcati, J. Differential Equations 55 pp 30– (1984) · Zbl 0491.35018 [4] Nakao, Math. Z. 206 pp 265– (1991) [5] : Variational methods in mathematics, science and engineering. D. Reidel Publishing company, Dordrecht–Boston–London 1975. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.