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  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations

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Date

2007-05-15

Author

Demiray, Hilmi

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Citation

Demiray, H. (2007). Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations. Journal of Computational and Applied Mathematics, 202(2), 328-338. doi:10.1016/j.cam.2005.10.043

Abstract

In the present work, by treating the arteries as thin-walled prestressed elastic tubes with a stenosis and the blood as an inviscid fluid we have studied the propagation of weakly nonlinear waves in such a medium, in the longwave approximation, by employing the reductive perturbation method. The variable coefficients KdV and modified KdV equations are obtained depending on the balance between the nonlinearity and the dispersion. By seeking a localized progressive wave type of solution to these evolution equations, we observed that the wave speeds takes their maximum values at the center of stenosis and gets smaller and smaller as one goes away from the stenosis. Such a result seems to reasonable from the physical point of view.

Source

Journal of Computational and Applied Mathematics

Volume

202

Issue

2

URI

https://hdl.handle.net/11729/255
http://dx.doi.org/10.1016/j.cam.2005.10.043

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [215]
  • Scopus İndeksli Makale Koleksiyonu [880]
  • WoS İndeksli Makale Koleksiyonu [892]



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