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Toplam kayıt 11, listelenen: 1-10
The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension
(Pergamon-Elsevier Science Ltd, 2004-06)
The dynamic response of an isotropic hyperelastic membrane tube, subjected to a dynamic extension at its one end, is studied. In the first part of the paper, an asymptotic expansion technique is used to derive a non-linear ...
The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
(IOP Publishing Ltd, 2011-04)
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity. The nonlocal nature of the ...
A Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
(Oxford Univ Press, 2009-02)
In one space dimension, a non-local elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higher-order Boussinesq equation using ...
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
(Academic Press Inc Elsevier Science, 2011-02-01)
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative. Some well-known ...
Numerical simulation of blow-up solutions for the generalized Davey-Stewartson system
(Taylor & Francis Ltd, 2011-03)
Blow-up solutions for the generalized Davey-Stewartson system are studied numerically by using a split-step Fourier method. The numerical method has spectral-order accuracy in space and first-order accuracy in time. To ...
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 ...
A numerical study of the long wave-short wave interaction equations
(Elsevier B.V., 2007-03-07)
Two numerical methods are presented for the periodic initial-value problem of the long wave-short wave interaction equations describing the interaction between one long longitudinal wave and two short transverse waves ...
Two remarks on a generalized Davey-Stewartson system
(Elsevier Ltd, 2006-03-01)
We present two results on a generalized Davey-Stewartson system, both following from the pseudo-conformal invariance of its solutions. In the hyperbolic-elliptic-elliptic case, under some conditions on the physical parameters, ...
Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity
(IOP Publishing, 2010-01)
We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function ...
Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations
(Elsevier Ltd, 2010-04)
In this study, we establish the non-existence and existence results for the localized solitary waves of the two-dimensional long-wave-short-wave interaction equations. Both the non-existence and existence results are based ...