On a damped nonlinear beam equation
Analysis of PDEs
2025-02-24 v4
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.
Keywords
Cite
@article{arxiv.2103.00969,
title = {On a damped nonlinear beam equation},
author = {David Raske},
journal= {arXiv preprint arXiv:2103.00969},
year = {2025}
}
Comments
Existence is handled differently in this version