论文标题
非线性束方程的规律性和能量传递
Regularity and energy transfer for a nonlinear beam equation
论文作者
论文摘要
在本文中，我们研究了在有界域中在第四阶波方程中不连续强迫项的一些关键影响，从而通过可通过弹性折断的相互作用对弹性梁的粘附进行建模。 通过使用光谱分解方法，我们表明，从附着到分离状态的过渡时的非线性引起的主要效应可以追溯到溶液的规律性以及总能量通过尺度的迁移中。
In this paper we study some key effects of a discontinuous forcing term in a fourth order wave equation on a bounded domain, modeling the adhesion of an elastic beam with a substrate through an elastic-breakable interaction. By using a spectral decomposition method we show that the main effects induced by the nonlinearity at the transition from attached to detached states can be traced in a loss of regularity of the solution and in a migration of the total energy through the scales.
