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Scattering from the coated targets embedded in a multilayered medium has attracted much interest during recent years for extensive applications, such as sea radar target detection and underwater radar...
We consider the Liouville equations with highly heterogeneous Hamiltonians and their numerical solution by a time splitting algorithm. Such equations model the density of particles evolving according ...
We consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deter...
This paper reviews several mathematical techniques that have been developed to analyze the asymptotic behavior of waves and particles propagating in a heterogeneous medium. The heterogeneous medium is...
We consider solutions of the KPP-type equations with a periodically varying reaction rate, and compactly supported initial data. It has been shown by Bramson [5, 6] in the case of the constant reactio...
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...
We study a model of directed polymers in random environment in dimension $1+d$, given by a Brownian motion in a Poissonian potential. We study the effect of the density and the strength of inhomogenei...
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...
In terabit-density magnetic recording, several bits of data can be replaced by the values of their neighbors in the storage medium. As a result, errors in the medium are dependent on each other and al...
Many biological and physical systems exhibit population-density dependent transitions to syn- chronized oscillations in a process often termed \dynamical quorum sensing". Synchronization frequently ...
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 present paper discuss the dispersion equation for SH waves in a non homogeneous monoclinic layer over a semi infinite isotropic monoclinic medium with an irregularity. The dispersion equation has ...

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