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Toplam kayıt 4, listelenen: 1-4
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 ...
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 ...