On the appropriate treatment of singularly perturbed wave equations (Q2746088)

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scientific article; zbMATH DE number 1655515
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On the appropriate treatment of singularly perturbed wave equations
scientific article; zbMATH DE number 1655515

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    2001
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    elastic pendulum
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    viscoelastic pendulum
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    two-timing method
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    damping
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    On the appropriate treatment of singularly perturbed wave equations (English)
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    Often it is useful to complete the study of a simplified problem by taking into account the effects neglected at first, e.g. some small perturbations. The authors deal thus with an elastic or viscoelastic pendulum, i.e. a light rod with high stiffness, assuming that its configuration remains perfectly straight. Using a two-timing method, they obtain a second oscillation around the first one, and the damping is later taken into consideration.
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