On the derivation of some non-linear evolution equations and their progressive wave solutions
Yükleniyor...
Dosyalar
Tarih
2003-06
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, utilizing the reductive perturbation method, the non-linear equations of a prestressed viscoelastic thick tube filled with a viscous fluid are examined in the longwave approximation and some evolution equations and their modified forms are derived. The analytical solution of some of these equations are obtained and it is shown that for perturbed cases, the wave amplitude and the phase velocity decay in the time parameter.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Viscoelastic tubes, Elastic tube, Propagation, Arteries, Pressure, Approximation theory, Asymptotic stability, Computational fluid dynamics, Fluid-filled viscoelastic tubes, Korteweg-de Vries equation, Perturbation techniques, Solitons, Viscoelasticity, Viscous flow, Water waves
Kaynak
International Journal of Non-Linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
38
Sayı
1
Künye
Demı́ray, H. (2003). On the derivation of some non-linear evolution equations and their progressive wave solutions. International Journal of Non-Linear Mechanics, 38(1), 63-70. doi:10.1016/S0020-7462(01)00042-7
