Exact solutions for mass-dependent irreversible aggregations.

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress

Analytical Solution of Steady State Substrate Concentration of an Immobilized Enzyme Kinetics by Laplace Transform Homotopy Perturbation Method

The nonlinear dynamical system modeling the immobilized enzyme kinetics with Michaelis-Menten mechanism for an irreversible reaction without external mass transfer resistance is considered. Laplace transform homotopy perturbation method is used to obtain the approximate solution of the governing nonlinear differential equation, which consists in determining the series solution convergent to the...

Exact solutions of effective mass Schrödinger equations

We outline a general method of obtaining exact solutions of Schrödinger equations with a position dependent effective mass. Exact solutions of several potentials including the shape invariant potentials have also been obtained.

Luminosity segregation from Merging in Clusters of Galaxies

We compute the evolution of the space-dependent mass distribution of galaxies in clusters due to binary aggregations by solving a space-dependent Smoluchowski equation. From the solutions we derive the distribution of intergalactic distance for different ranges of mass (and of corresponding magnitude). We compare the results with the observed distributions, and find that the different degrees o...

A Nonlocal First Order Shear Deformation Theory for Vibration Analysis of Size Dependent Functionally Graded Nano beam with Attached Tip Mass: an Exact Solution

In this article, transverse vibration of a cantilever nano- beam with functionally graded materials and carrying a concentrated mass at the free end is studied. Material properties of FG beam are supposed to vary through thickness direction of the constituents according to power-law distribution (P-FGM). The small scale effect is taken into consideration based on nonlocal elasticity theory of E...