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In this paper, we establish several gradient estimates for the positive solution of Porous Medium Equations (PMEs) and Fast Diffusion Equations (FDEs). Our proof is probabilistic and uses martingale t...
Abstract: We consider a degenerate partial differential equation arising in population dynamics, namely the porous medium equation with a bistable reaction term. We study its asymptotic behavior as a ...
Third order nonlinear ordinary differential equation, subject to appropriate boundary conditions, arising in fluid mechanics is solved exactly using more suggestive schemes- Dirichlet series and metho...
The couette flow of a viscous fluid in a channel, partially filled with a porous medium has been analyzed. The lower part of the channel is occupied by a porous medium, while the upper part is occupie...
The unsteady natural convection MHD flow of a rotating viscous electrically conducting fluid in a vertical channel partially filled by a porous medium with high porosity in the presence of radiation e...
The general solution to the field equations of fluid saturated incompressible porous medium for two dimensional axi-symmetric problem is obtained due to time harmonic ring and disc loads by applying H...
The theoretical studies involved development of the differential equations which describe the instability of water by an oil-saturated rock. The basic assumption underlying the present investigation i...
In this communication, we present a numerical study for the steady twodimensional radiative MHD boundary−layer flow of an incompressible, viscous, electrically conducting fluid caused by a non-i...
This paper presents an analytical study of the transient hydromagnetic and thermal behaviour of free convection flow past a vertical plate embedded in a porous medium. The governing equations are solv...

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