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On the appropriate treatment of singularly perturbed wave equations

机译:关于奇摄动波动方程的适当处理

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摘要

Engineers frequently find themselves concerned with the following situation: One is not interested in certain effects of a model, expecting them to have no significant influence, and one therefore simply neglects them - even if the type of the governing equations is changed. Having obtained a sound knowledge about the thus simplified problem one would nevertheless like to take into account the effects neglected at first, preferably as some sort of small perturbation. By means of an example from dynamics we point out that such an approach may necessitate some careful analysis: More often than not the perturbations turn out to be of rather singular type. [References: 4]
机译:工程师经常发现自己对以下情况感到关注:人们对模型的某些效果不感兴趣,期望它们不会产生重大影响,因此即使忽略了控制方程的类型,也可以忽略它们。尽管如此,已经获得了关于如此简化的问题的全面知识,但人们还是希望考虑起初被忽略的影响,最好是某种小的扰动。通过动力学中的一个例子,我们指出,这种方法可能需要进行仔细的分析:扰动常常是相当单一的。 [参考:4]

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