On the contribution of higher order terms to solitary waves in fluid filled elastic tubes

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Küçük Resim

Tarih

2000-01

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Birkhauser Verlag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

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Dergi sayısı

Özet

In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in such a medium is studied through the use of the modified multiple scale expansion method. It is shown that the evolution of the lowest order (first order) term in the perturbation expansion may be described by the Korteweg-de Vries equation. The governing equation for the second order terms and the localized travelling wave solution for these equations are also obtained. The applicability of the present model to flow problems in arteries is discussed. Mathematics Subject Classification (1991).

Açıklama

Anahtar Kelimeler

Solitary waves, Elastic tubes, Inviscid fluid, Propagation, Pressure

Kaynak

Zeitschrift fur Angewandte Mathematik und Physik

WoS Q Değeri

Q2
Q2

Scopus Q Değeri

Q1

Cilt

51

Sayı

1

Künye

Demiray, H. (2000). On the contribution of higher order terms to solitary waves in fluid filled elastic tubes. Zeitschrift Für Angewandte Mathematik Und Physik, 51(1), 75-91. doi:10.1007/PL00001508