DMPS

The energy density of Vaidya-Tikekar isentropic superdense star is found to be decreasing away from the center, only if the parameter K is negative. The most general exact solution for the star is derived for all negative values of K in terms of circular and inverse circular functions. Which can further be expressed in terms of algebraic functions for K

Applied Mathematical Sciences, Vol. 5, 2011, no. 80, 3971 - 3979 An Extensive Study of Mathematical Wastewater Flow Model over Slime Layers Mahmood K. Jasim DMPS, College of Arts & Sciences, University of Nizwa, Oman mahmoodkhalid@unizwa.edu.om Afaf M. Weli ...

Artificial neural networks (ANN) have been developed in a wide variety of configurations and represent a major extension of computation. The theoretical foundations of artificial neural networks are expanding rapidly, but they are currently inadequate to support the more optimistic projections. ANN has been

Plasma characteristics have been identified with the aid of an insulated probe analysis immersed in the plasma. An Exact solution approach coupled with initial values for the sheath thickness and wall potential can predict the overall relation between the distance from the wall and wall potential based on a positive space charge near the vicinity of the probe. The I-V plasma characteristics of the probe can identify the position of the point or potential where the total current drawn by the probe is zero, i.e. floating potential.

The most general accurate solutions for the Buchdhal fluid sphere were obtained and matched with the Schwarzchild's exterior solution at the pressure free interface. Various parameters of the solutions were so adjusted that the energy density, pressure and temperature were positive and decreasing away from the centre, and the velocity of sound was less than unity throughout the spheroid model.

The objective of this paper is to study the stability of charged isentropic superdense star models. A limitation of the density variation for different models guided by a specific choice of measure of departure from physical geometry of the physical space to ensure the physical acceptability has been obtained and analyzed for the stability performance. The solution so obtained has investigates large density and pressure at the center of the super dense star model; however the energy conditions are seen to be satisfied throughout certain spherical regions. In addition to that, the analysis yields a strong indication that the model is stable with respect to infinitesimal redial pulsation. We also found that the adiabatic speed of sound is smaller than unity inside the fluid sphere if and only if the radius of the sphere is larger than 1.46 times of its Schwarzschild radius. Furthermore the solution for K= -11 (case study), has been tested for the stability and found it is stable for l...

A non linear partial differential equation in general relativity is solved by the Lie continuous point group similarity transform method using symbolic computation. Four new similarity solutions for relativistic plane symmetric accelerating perfect fluid distribution of embedding class one are derived through symbolic algebra packages. The solutions so obtained are also analyzed physically. The energy density (ρ) and pressure (p) satisfies the physical conditions (ρ≥p>0 for t≥0).

Abstract:In this paper, a linear infinite dimensional distributed systems in a Hilbert space has been discussed and analyzed where the dynamics of system is governed by strongly continuous semi-groups. The characterizations of regional strategic sensors have been given and tackled for different cases of regional observability. Furthermore, the results so obtained are applied to two-dimensional systems. Various cases of sensors are considered and analyzed. Also, the authors show that, the existent of a sensor for the diffusion system is not strategic in the usual sense, but it may be regionally strategic of this system.

In the present article we have obtained new set of exact solutions of Einstein field equations for anisotropic fluid spheres by using the Herrera et al. [1] algorithm. The anisotropic fluid solutions so obtained join continuously to Schwarzschild exterior solution across the pressure free boundary.It is observed that most of the new anisotropic solutions are well behaved and utilized to construct the super-dense star models such as neutron star and pulsars.

Spherical symmetric static metric has played a very significant role in the development of the theory of General Relativity. Radiating fluid spheres model is derived and analyzed with concerned to the standardized physical properties inside and on the boundary surface. Therefore, the model so obtained represents a star filled with fluid matter and radiation, such that the model joins to Vaidya's radiating metric at pressure free interface a r = .

In this paper, Lie group analysis have been applied to a core group model for isentropic super-dense stars assuming that, the interior of the star is filled up with a perfect fluid, the corresponding Einstein's equations constitute an ordinary differential equation of 2 nd order involving a parameter K. Different values of K are responsible for different models of the fluid sphere. Optimal solutions have been obtained in terms of special functions, namely the confluent hypergeometric functions.

A mathematical model of radon concentrations in soil has been derived in its general form. Solutions so obtained are quiet new and have been derived and applied for different layers. The model has shown to match the experimental works for layers at one feet depth from the surface.

The objective of this paper is to study the stability of charged isentropic superdense star models. A limitation of the density variation for different models guided by a specific choice of measure of departure from physical geometry of the physical space to ensure the physical acceptability has been obtained and analyzed for the stability performance. The solution so obtained has investigates large density .

A mathematical model for wastewater treatment using biofilm grown on a support media over slime layers was developed. An attempt has been made to set up a relationship between removal efficiency and dispersion characteristic of trickling filter. Analytic solutions have been obtained and analyzed.

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In this paper, we investigated a new anisotropic solution for the strange star model in the context of 5D Einstein-Gauss-Bonnet (EGB) gravity. For this purpose, we used a linear equation of state (EOS), in particular pr=βρ+γ, (where β and γ are constants) together with a well-behaved ansatz for gravitational potential, corresponding to a radial component of spacetime. In this way, we found the other gravitational potential as well as main thermodynamical variables, such as pressures (both radial and tangential) with energy density. The constant parameters of the anisotropic solution were obtained by matching a well-known Boulware-Deser solution at the boundary. The physical viability of the strange star model was also tested in order to describe the realistic models. Moreover, we studied the hydrostatic equilibrium of the stellar system by using a modified TOV equation and the dynamical stability through the critical value of the radial adiabatic index. The mass-radius relationship ...