We investigate in this article the long-time behaviour of the solutions to the energydependant, spatially-homogeneous, inelastic Boltzmann equation for hard spheres. This model describes a diluted gas composed of hard spheres under statistical description, that dissipates energy during collisions. We assume that the gas is “anomalous”, in the sense that energy dissipation increases when tempera...

The present article serves the purpose of pursuing Geometrization of heat flow on volumetrically isothermal manifold by means of RF approach. In this article, we have analyzed the evolution of heat equation in a 3-dimensional smooth isothermal manifold bearing characteristics of Riemannian manifold and fundamental properties of thermodynamic systems. By making use of the notions of various curva...

In this paper, the gravitational collapse of spherical interstellar clouds is discussed based on hydrodynamical simulations. The evolution is divided into two phases: former runaway collapse phase, in which the central density increases greatly on a nite time scale, and later contraction, associated with accretion onto a newborn star. The initial density distribution is expressed using a ratio ...

Effect of water gas shift reaction (CO+H2O=CO2+H2) on wustite reduction has been investigated by a transient, non-isothermal mathematical model based on grain model. In this model, wustite porous pellet is reduced using Syngas, namely a mixture of hydrogen, carbon monoxide, carbon dioxide and water vapor. For this purpose, governing equations containing continuity equation of species and energy...

We investigate the properties of the collision operator Q associated to the linear Boltzmann equation for dissipative hard-spheres arising in granular gas dynamics. We establish that, as in the case of non–dissipative interactions, the gain collision operator is an integral operator whose kernel is made explicit. One deduces from this result a complete picture of the spectrum of Q in an Hilbert...

Many astrophysical systems can be approximated as isothermal spheres. In an isothermal sphere, the “foreground” objects can act as lenses on “background” objects in the same distribution. We study gravitational lensing by a singular isothermal sphere analytically. Our results may have interesting applications. PACS numbers: 98.62.Sb, 95.30.Sf Typeset using REVTEX 1

Instead of conformal to flat spacetime, we take the metric conformal to a spacetime which can be thought of as “minimally” curved in the sense that free particles experience no gravitational force yet it has non-zero curvature. The base spacetime can be written in the Kerr-Schild form in spherical polar coordinates. The conformal metric then admits the unique three parameter family of perfect f...