Browsing Natural and Mathematical Sciences by Subject "Nonlocal elasticity"
Now showing items 1-3 of 3
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Derivation of the Camassa-Holm equations for elastic waves
(Elsevier, 2015-06-05)In this paper we provide a formal derivation of both the Camassa–Holm equation and the fractional Camassa–Holm equation for the propagation of small-but-finite amplitude long waves in a nonlocally and nonlinearly elastic ... -
On the convergence of the nonlocal nonlinear model to the classical elasticity equation
(Elsevier, 2021-12)We consider a general class of convolution-type nonlocal wave equations modeling bidirectional propagation of nonlinear waves in a continuous medium. In the limit of vanishing nonlocality we study the behavior of solutions ... -
On the full dispersion Kadomtsev–Petviashvili equations for dispersive elastic waves
(Elsevier, 2022-09)Full dispersive models of water waves, such as the Whitham equation and the full dispersion Kadomtsev–Petviashvili (KP) equation, are interesting from both the physical and mathematical points of view. This paper studies ...
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