General decay of energy to a nonlinear viscoelastic two-dimensional beam

doi:10.1007/s10483-018-2389-6

Abstract

Abstract: A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.

Key words: secondary instabilities, large scale structure, bifurcation, viscoelastic beam, Lyapunov functional, two-dimensional space, exponential decay, nonlinear tension

2010 MSC Number:

5B40
35L70

B. LEKDIM, A. KHEMMOUDJ. General decay of energy to a nonlinear viscoelastic two-dimensional beam. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1661-1678.

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