The asymptotic behavior of solutions to the Cauchy problem with periodic initial data for the nonlinear Lamb system

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 time periodic solutions.

Keywords:

the nonlinear Lamb system, the Cauchy problem, periodic initial data, the limit amplitude principle

Publication language:english,
pages:16

Research direction:

Mathematical problems and theory of numerical methods