An analysis has been conceded to study the effects of Soret and thermal radiation effects on the magnetohydrodynamic convective flow of a viscous, incompressible, electrically conducting fluid with heat and mass transfer over a plate with time-dependent suction velocity in a slip flow regime in the presence of first-order chemical reaction. The slip conditions at the boundaries for the governin...

The objective of this study is to investigated thermal diffusion and radiation effects on unsteady free convection chemically reacting fluid flow past an accelerated infinite inclined plate with variable temperature and mass diffusion under the influence of uniform transverse magnetic field when the magnetic lines of force are fixed relative to the fluid or to the plate studied in two cases, (i...

We study the motion-induced radiation due to non-relativistic motion of an atom, coupled vacuum electromagnetic field by electric dipole term, in presence a static graphene plate. After computing probability emission for accelerated atom empty space, we evaluate corrections show that effect plate is increase when near and oscillates along direction perpendicular it. On contrary, parallel oscill...

Composite materials have been used extensively in various applications, such as mechanical engineering, aerospace engineering, and aviation thanks to their interesting mechanical properties. However, a substantial drawback in the use of such composite materials is that they absorb a significant amount of moisture when exposed to severe hygrothermal conditions. This factor dramatically affects t...

In this paper, we consider a viscoelastic plate equation of Moore-Gibson-Thompson with heat conduction Cattaneo type. We investigate the system in bounded and unbounded domains, seeking exponential stability domains polynomial decay rates for Cauchy problem. It turns out that our is exponentially stable domain, while has regularity loss Our results are proved sub-critical case $ K>0.

We consider the approximation of a class of exponentially stable infinite dimensional linear systems modelling the damped vibrations of one dimensional vibrating systems. It is by now well known that the approximating systems obtained by usual finite element or finite difference are not uniformly stable with respect to the discretization parameter. Our main result shows that, by adding a suitab...

The stirring of a small, passive heterogeneity in an unsteady circulation is investigated by following the boundary of the heterogeneity; the circulation mimics features of plate-scale flow. After initial release, the heterogeneity is stirred and subsequently consists of at least one large "blob" connected to long, but thin tendrils. Tendrils exponentially lengthen and exponentially thin with t...