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A modification in the theorem of bailey and chen

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Il Nuovo Cimento B (1971-1996)

Summary

A contradiction has been shown in the conclusion of the theorem of Bailey and Chen on the global behaviour of the amplitude of an acceleration wave. The modified statement of the theorem is presented and proved. The conclusion has been illustrated by the calculation of the amplitude of an acceleration wave with a curved surface propagating in a relaxing gas.

Riassunto

Si mostra una contraddizione nella conclusione del teorema di Bailey e Chen sul comportamento globale dell’ampiezza di un’onda di accelerazione. Si presenta e si prova la formulazione modificata del teorema. La conclusione è stata illustrata mediante il calcolo dell’ampiezza di un’onda di accelerazione con una superficie curva che si propaga in un gas che rilassa.

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References

  1. P. B. Bailey andP. J. Chen:Arch. Rat. Mech. Anal.,41, 121 (1971).

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  2. P. J. Chen:Selected Topics in Wave Propagation (Amsterdam, 1976), p. 245.

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Ram, E. A modification in the theorem of bailey and chen. Nuov Cim B 48, 9–14 (1978). https://doi.org/10.1007/BF02748645

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  • DOI: https://doi.org/10.1007/BF02748645

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