On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
Yükleniyor...
Dosyalar
Tarih
2004-09
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the longwave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it might be possible to obtain the conventional Korteweg-deVries (KdV) and the modified KdV equations of various forms. Finally, a set of progressive wave solutions is presented for such evolution equations.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Shock waves, Propagation, Pressure, Arteries, Prestressed elastic tubes, KdV equation, Modified KdV equations, Crack propagation, Deformation, Dispersions, Heat convection, Incompressible flow, Kinematics, Linear equations, Mathematical models, Nonlinear equations, KdV equations, Elasticity testing, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
42
Sayı
15-16
Künye
Demiray, H. (2004). On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions. International Journal of Engineering Science, 42(15-16), 1693-1706. doi:10.1016/j.ijengsci.2004.02.003
