论文标题

非线性光束方程解决方案的大量时间行为

Large time behavior of solutions to nonlinear beam equations

论文作者

Raske, David

论文摘要

在本说明中,我们分析了解决涉及阻尼非线性光束方程的一类初始/边界问题的较大时间行为。我们表明,在轻度条件下,运动方程的阻尼项,动态问题的解决方案会收敛到固定问题的溶液。我们还表明,这种收敛是指数的。

In this note we analyze the large time behavior of solutions to a class of initial/boundary problems involving a damped nonlinear beam equation. We show that under mild conditions on the damping term of the equation of motions the solutions of the dynamical problem converge to the solution of the stationary problem. We also show that this convergence is exponential.

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