Head-on collision of two solitary waves in the presence linear shear currents is studied by use High-Level Green–Naghdi (HLGN) theory. The finite difference method used to solve HLGN model time-domain simulation. initial values are obtained steady solution currents. Shear with different velocities considered assess their effect on solitary-wave collision. Three aspects head-on process current s...

It is our belief that a thorough understanding of the mathematical underpinnings of elasticity is crucial to its analytical and numerical implementation. For example, in the analysis of rotating structures, the coupling of the equations for geometrically inexact models, obtained by linearization or other approximations, with those for rotating rigid bodies can easily lead to misleading artifici...

The Green-Naghdi equations are a shallow water waves model which play important roles in nonlinear wave fields. By using the trial equation method and Complete discrimination system for polynomial we obtained classification of travelling patterns. Among those patterns, new singular patterns double periodic first time. And draw graphs help us to understand dynamics behaviors intuitionally.

In this paper we consider a multidimensional thermoviscoelastic system of Bresse type where the heat conduction is given by Green and Naghdi theories. For wider class relaxation functions, We show that dissipation produced memory eect strong enough to produce general decay results. establish results, from which usual exponential polynomial rates are only special cases.

We study the behavior in time of solutions to several systems equations for porous-thermo-elastic problems when one variables is considered be quasi-static or, other words, whose second derivative can neglected. analyze three different situations using classical Fourier law and also type II or III Green–Naghdi heat conduction models.