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 present a study of the physical characteristics traveling waves at shallow and intermediate water depths. The main subject is to influence nonlinearity on dispersion properties waves, their limiting heights steepness, shape solitary etc. A fully nonlinear Serre–Green–Naghdi-type model, classical weakly Boussinesq model fifth-order Stokes wave solutions were chosen as models for comparison. a...

We derive the anti dissipative Serre-Green-Naghdi (SGN) equations in context of nonlinear dynamics surface water waves under wind forcing, finite depth. The anti-dissipation occurs du to continuos transfer energy wave. find solitary wave solution system, with an increasing amplitude action. This leads blow-up time for infinitely large asymptotic space. dispersive, anti-dissipative and fully phe...

This research aims to investigate photo-thermoelastic interactions in a rotating infinite semiconducting solid cylinder under high magnetic field acting along its axis with the Hall current effect. The boundary surface is subjected variable heat flux generated by an exponential laser pulse. governing equations are expressed using new model generalized Moore–Gibson–Thompson photo-thermal (MGTPT)...