We intend to analyze the consequence of considering thermal radiation on time-dependent flow Casson fluid due an exponentially accelerated inclined surface along with as well solutal convective boundary conditions. Fundamental equations governing isotropic incompressible radiative are defined through a set linear partial differential equations, and exact solutions derived by using Laplace trans...

We study the ow of a uid occupying an innnite horizontal domain bounded by a rugose plate which is at rest and by a plane plate which moves with a constant velocity. The rugose plate is covered with periodically distibuted asperities of size ". We prove that, outside a neighbourhood of the rugose region, the ow behaves asymptotically as a Couette ow, as " ! 0, up to an exponentially small error...

Analyses of accelerated (momentum-based) gradient descent usually assume bounded condition number to obtain exponential convergence rates. However, in many real problems, e.g., kernel methods or deep neural networks, the condition number, even locally, can be unbounded, unknown or mis-estimated. This poses problems in both implementing and analyzing accelerated algorithms. In this paper, we add...

In this paper we consider the thermoelastic plate equation with localized thermal dissipation of memory type, proposed by Gurtin and Pipkin [3]. We will show that the solution of the corresponding model decays exponentially as time goes to infinity, provided the relaxation function decays exponentially. The mean difference with others thermoelastic system is that the whole system is of hyperbol...

1 Necessary conditions have been established recently for the prescribed data along the cylindrical edge(s) of an elastic flat plate to induce only an exponentially decaying elastostatic state. The present paper describes how these conditions may be used to determine the interior solution (or its various thin and thick plate theory approximations) of plate problems. The results in turn show tha...

The Unsteady laminar flow of an electrically conducting dusty viscous incompressible fluid near an accelerated flat, nonconducting plate, under the influence of a uniform magnetic field and pulsatile pressure gradient has been studied using differential geometry techniques i.e., in Frenet frame field system. The particular cases as (i) impulsively moving and (ii) uniformly accelerated motion of...

Ergodicity-breaking and slow relaxation are intriguing aspects of nonequilibrium dynamics both in classical quantum settings. These phenomena typically associated with phase transitions, e.g. the emergence metastable regimes near a first-order transition or scaling vicinity critical points. Despite being fundamental interest divergent time scales hindrance when trying to explore steady-state pr...

This paper presents new exact 3-D (three-dimensional) elasticity closed-form solutions for out-of-plane free vibration of thick rectangular single layered FG (functionally graded) plates and thick rectangular homogeneous plate coated by a functionally graded layer with simply supported boundary conditions. It is assumed that the plate is on a Winkler-Pasternak elastic foundation and elasticity ...