In this paper, we investigate the homogenization of a nonlinear kinetic equation modeling electron transport in semiconductors. We compute effective scattering coefficients for medium with periodic inhomogeneities.

We prove Strichartz estimates for the kinetic transport equation employing the techniques of Keel and Tao [11] and Foschi [8]. Our results extend considerably the range of the known Strichartz estimates in the literature for that equation. We show sharpness to most of the estimates that we prove. In particular, in one spatial dimension we find the full range of validity of the Strichartz estima...

In this paper, we investigate the homogenization of a nonlinear kinetic equation modeling electron transport in semiconductors. We compute effective scattering coefficients for medium with periodic inhomogeneities.

In this work, we study the cellular profile in a cell proliferating model presented in [4]. Each cell is characterized by its degree of maturity and its maturation velocity. The boundary conditions generalizes the known biological rules. We study also the degenerate case corresponding to infinite maturation velocity, and describe mathematically the cellular profile.

We show that the Schrödinger equation is a lift of Newton’s third law of motion ∇μ̇ μ̇ = −∇WF (μ) on the space of probability measures, where derivatives are taken w.r.t. the Wasserstein Riemannian metric. Here the potential μ → F (μ) is the sum of the total classical potential energy 〈V, μ〉 of the extended system and its Fisher information ~2 8 ∫ |∇ ln μ|2dμ. The precise relation is established ...

The \closure problem" is a well known and widely discussed problem in transport theory. From the full transport equation one can derive a (innnite) sequence of hyperbolic subsystems for the moments. The question arises how to close the system for the rst n moments. In case of Boltzmann equations it can be answered in the theory of extended thermodynamics. Here we consider transport equations wh...

We reexamine in the relativistic transport model the dependence of kaon yield on the nuclear equation of state in heavy ion collisions at energies that are below the threshold for kaon production from the nucleon-nucleon interaction in free space. For Au+Au collisions at 1 GeV/nucleon, we find that the kaon yield measured by the Kaos collaboration at GSI can be accounted for if a soft nuclear e...

Accurate prediction of pollution control and environmental protection need a good understanding of pollutant dynamics. Numerical model techniques are important apparatus in this research area. So a 2500 line FORTRAN 95 version code was conducted in which using approximate Riemann solver, couples the shallow water and pollution transport agents in two dimensions by the aid of unstructured meshes...

A simple mathematical model of steady state  oxygen distribution subject to diffusive transport and non- linear uptake in a retinal cylinder has been developed. The approximate analytical solution to a reaction- diffusion equation are obtained by using series expansions. The computational results for the scaled variables are presented through graphs. The effect of the important parameters (1) d...

rockfill dams are accounted as useful measures in watershed management projects. how-ever, the sediment transport through the rockfill materials, could impact their lifetime duration. previously, researches have been conducted to describe the various hydraulically issues of the flow passing through these structures however; there is no general relationship to estimate the sediment transport rat...