On the contribution of higher order terms to solitary waves in fluid filled elastic tubes
Yükleniyor...
Dosyalar
Tarih
2000-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Birkhauser Verlag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
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
