On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation

Details On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation

2011-04-15

arxiv.org/abs/1104.2998v1

Physics

Mathematical Physics

13 pages

Scientific paper

We study the asymptotic behavior of the Euler-Bernoulli beam which is clamped
at one end and free at the other end. We apply a boundary control with memory
at the free end of the beam and prove that the "exponential decay" of the
memory kernel is a necessary and sufficient condition for the exponential decay
of the energy.

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