On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions

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Tarih

2004-09

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Yayıncı

Pergamon-Elsevier Science Ltd.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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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