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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 206, 16 pp.
DOI: https://doi.org/10.20948/prepr-2018-206-e (Mi ipmp2565) 		 
The asymptotic behavior of solutions to the Cauchy problem with periodic initial data for the nonlinear Lamb system

T. V. Dudnikova
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DOI: https://doi.org/10.20948/prepr-2018-206-e
Abstract: A model consisting of an infinite string coupled to a nonlinear oscillator is considered. The Cauchy problem for the system with the periodic initial data is studied. The main goal is to prove the convergence of the solutions as $t\to \infty$ to time periodic solutions.
Keywords: the nonlinear Lamb system, the Cauchy problem, periodic initial data, the limit amplitude principle.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00524_a
This work was done with the financial support from RFBR (grant N. 18-01-00524).
Document Type: Preprint
Language: English
Citation: T. V. Dudnikova, “The asymptotic behavior of solutions to the Cauchy problem with periodic initial data for the nonlinear Lamb system”, Keldysh Institute preprints, 2018, 206, 16 pp.
Citation in format AMSBIB
\Bibitem{Dud18}
\by T.~V.~Dudnikova
\paper The asymptotic behavior of solutions to the Cauchy problem with periodic initial data for the nonlinear Lamb system
\jour Keldysh Institute preprints
\yr 2018
\papernumber 206
\totalpages 16
\mathnet{http://mi.mathnet.ru/ipmp2565}
\crossref{https://doi.org/10.20948/prepr-2018-206-e}
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