Konu "Mathematical models" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 8, listelenen: 1-8
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The boundary layer approximation and nonlinear waves in elastic tubes
(Pergamon-Elsevier Science, 2000-09)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and approximate equations of an incompressible viscous fluid, the propagation of weakly nonlinear waves is examined. ... -
Dynamic extension of a compressible nonlinearly elastic membrane tube
(Oxford Univ Press, 2005-02)The dynamic response of an isotropic compressible hyperelastic membrane tube is considered when one end is fixed and the other is subjected to a suddenly applied dynamic extension. The equations governing dynamic axially ... -
Localized travelling waves in a prestressed thick elastic tube
(Pergamon-Elsevier Science, 2001-10)In the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is ... -
Nonlinear wave modulation in a fluid-filled linearly tapered elastic tube
(Gauthier-Villars/Editions Elsevier, 2003-08)In the present work, treating the arteries as a thin-walled, linearly tapered, prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a ... -
On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
(Pergamon-Elsevier Science Ltd., 2004-09)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 ... -
On travelling wave solutions of a generalized Davey-Stewartson system
(Oxford Univ Press, 2005-02)The generalized Davey-Stewartson (GDS) equations, as derived by Babaoglu & Erbay (2004, Int. J. Non-Linear Mech., 39, 941-949), is a system of three coupled equations in (2 + 1) dimensions modelling wave propagation in an ... -
Solitary waves in fluid-filled elastic tubes: weakly dispersive case
(Pergamon-Elsevier Science, 2001-03)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 ... -
Two-dimensional wave packets in an elastic solid with couple stresses
(Pergamon-Elsevier Science Ltd, 2004-08)The problem of (2+1) (two spatial and one temporal) dimensional wave propagation in a bulk medium composed of an elastic material with couple stresses is considered. The aim is to derive (2+1) non-linear model equations ...