Yazar "Erbay, Hüsnü Ata" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
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Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
Duruk, Nilay; Erbay, Hüsnü Ata; Erkip, Albert (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 ... -
The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, Albert (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 ... -
Closing the gap in the purely elliptic generalized Davey-Stewartson system
Eden, Osman Alp; Erbay, Hüsnü Ata; Muslu, Gülçin Mihriye (Pergamon-Elsevier Science Ltd, 2008-10-15)In this note we improve the results presented previously on global existence and global nonexistence for the Solutions of the purely elliptic generalized Davey-Stewartson system. These results left a gap in the parameter ... -
Dynamic extension of a compressible nonlinearly elastic membrane tube
Erbay, Hüsnü Ata; Tüzel, Vasfiye Hande (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 ... -
The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension
Tüzel, Vasfiye Hande; Erbay, Hüsnü Ata (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 ... -
Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity
Duruk, Nilay; Erbay, Hüsnü Ata; Erkip, Albert (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 ... -
A Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
Duruk, Nilay; Erkip, Albert; Erbay, Hüsnü Ata (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 ... -
Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations
Borluk, Handan; Erbay, Hüsnü Ata; Erbay, Saadet (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 ... -
Numerical simulation of blow-up solutions for the generalized Davey-Stewartson system
Muslu, Gülçin Mihriye; Erbay, Hüsnü Ata (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 ... -
A numerical study of the long wave-short wave interaction equations
Borluk, Handan; Muslu, Gülçin Mihriye; Erbay, Hüsnü Ata (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
Eden, Osman Alp; Erbay, Hüsnü Ata; Muslu, Gülçin Mihriye (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, ...