Yazar "Erkip, Albert" için 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 ... -
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 ...