In this study, thermal performance across straight convecting- radiating fin with temperature dependent thermal conductivity is considered. The variation of parameters (VPM) is adopted to analyze the nonlinear higher order differential equations arising due to thermal conductivity and heat transfer coefficient on temperature distribution. Pertinent parameters such as thermo geometric and radiat...

In vitro dose-response curves are used to describe the relation between chromosome aberrations and radiation dose for human lymphocytes. The lymphocytes are exposed to low-LET radiation, and the resulting dicentric chromosome aberrations follow the Poisson distribution. The expected yield depends on both the magnitude and the temporal distribution of the dose. A general dose-response model that...

In this study, an analysis of the monthly mean values of the fraction of the sky covered by clouds (C) of all types and the duration of bright sunshine hours (S) and global solar radiation on the horizontal surface (H) was carried out to establish relationship for solar radiation estimation for Bangladesh. The relationship between C and (1 − S/S0), where S0 is the maximum possible hours of suns...

In a di erential equations course, one typically studies a few classes of problems for which there are closed form solutions, such as ordinary, linear di erential equations with constant coe cients. Most problems of interest in real world simulation problems are much more complex, however, involving domains of two or more dimensions or nonlinear e ects, yielding partial di erential equations or...

There is growing interest in producing intense, coherent x-ray radiation with an adjustable and arbitrary polarization state. The crossed-planar undulator, which was first proposed by Kim, could achieve rapid polarization control in synchrotron radiation sources and free electron lasers (FELs) through the manipulation of a phase shifter. Recently, a statistical analysis shows that a polarizatio...

This study deals with the three-dimensional flow of a chemically reacting magnetohydrodynamic Sisko fluid over a bidirectional stretching surface filled with the ferrous nanoparticles in the presence of non-uniform heat source/sink, nonlinear thermal radiation, and suction/injection. After applying the self-suitable similarity transforms, the nonlinear ordinary differential equations are solved...

We consider a U(1)-invariant nonlinear Dirac equation, interacting with itself via the mean field mechanism. We analyze the longtime asymptotics of solutions and prove that, under certain generic assumptions, each finite charge solution converges as t → ±∞ to the twodimensional set of all “nonlinear eigenfunctions” of the form φ(x)e−iωt . This global attraction is caused by the nonlinear energy...

The numerical simulation of the propagation of nonlinear waves may present numericallyinduced radiation. Compactons, solitary waves with compact support, are no exception. The numerical radiation generated by compactons of the Rosenau-Hyman K(2, 2) equation calculated by means of a fourth-order finite element method is illustrated. Small-amplitude forward and backward radiation are shown in the...

Nonlinear Schrödinger / Gross-Pitaevskii equations play a central role in the understanding of nonlinear optical and macroscopic quantum systems. The large time dynamics of such systems is governed by interactions of the nonlinear ground state manifold, discrete neutral modes (“excited states”) and dispersive radiation. Systems with symmetry, in spatial dimensions larger than one, typically hav...