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arXiv · 2103.00969

On a damped nonlinear beam equation

David Raske
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Abstract

In this note we analyze the large time behavior of solutions to an initial/boundary problem involving a damped nonlinear beam equation. We show that under physically realistic conditions on the nonlinear terms in the equation of motion the energy is a decreasing function of time and solutions converge to a stationary solution with respect to a desirable norm.

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David Raske. 2021-03-01. On a damped nonlinear beam equation. https://arxiv.org/abs/2103.00969

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