Abstract
In this paper, we consider the dynamical von Karman equations for viscoelastic plates with nonlinear boundary dissipation. We show the existence of solutions using the Galerkin method and then prove the asymptotic behaviour of the corresponding solutions by choosing suitable Lyapunov functional.
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Park, J.Y., Kang, J.R. Uniform Decay of Solutions for von Karman Equations of Dynamic Viscoelasticity with Memory. Acta Appl Math 110, 1461–1474 (2010). https://doi.org/10.1007/s10440-009-9520-7
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DOI: https://doi.org/10.1007/s10440-009-9520-7
Keywords
- Viscoelasticity
- Von Karman system
- Boundary dissipation
- Exponential decay
- Galerkin approximation
- Memory term