一类弱奇异核积分方程的有界问题

Shihchung Chiang
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引用次数: 0

摘要

本文研究了一类弱奇异核积分方程状态的数值界。这项研究的最初动机是这样一个现实:当相应的力有界时,状态就有界了,但随着这些力的增加,特别是当时间接近无穷大时,状态就可以无界了[3]。本研究中使用的经典方程来自一个气动弹性模型,该模型描述了在非旋转均匀流体模式下超音速飞行的翼型动力学[2]。本文揭示了态的远场行为可以通过力界的预先设定来限定。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bounded Issues on a Class of Integral Equations with Weakly Singular Kernels
This study discovered numerical bounds for the states of a class of integral equations with weakly singular kernels. The original motivation for this research was the reality that the states became bounded when their corresponding forces were bounded but could be unbounded as these forces increased, especially as time approached infinity [3]. The classical equations used in this study from an aeroelasticity model that describes dynamics of an airfoil flying supersonically in a nonrotational uniform fluid pattern [2]. This paper reveals that the far field behaviors of states can be bounded through the pre-setting of the bounds of forces.
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