✦ LIBER ✦

On the equivalence between two perturbation techniques in fluid dynamics

✍ Scribed by Einaudi, F.

Publisher: Springer
Year: 1971
Tongue: English
Weight: 319 KB
Volume: 24
Category: Article
ISSN: 0003-6994
DOI: 10.1007/bf00411730

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✦ Synopsis

The hydrodynamic equations governing the propagation of waves ill Olle dimellsioi1 are solved by successive approximatiolls. Secular terms appear in a regular perturbation analysis, which limit the practical usefullless of such all approach. Two singular perturbation methods are described to remedy the presence of singularities. It is showll that tl~e Poincaré-Linghthill-Ku0 method and the method of characteristics are equivalent at least to first order in the amplitude of the perturbed velocity.

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