Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations

A Hierarchy of Hydrodynamic Models for Plasmas. Quasi-Neutral Limits in the Drift-Diffusion Equations

Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diffusion equations with L initial data and minimal assumptions on the drift are locally Holder continuous. As an application we show that solutions of the quasigeostrophic equation with initial L data and critical diffusion (−∆), are locally smooth for any space dimension.

Lyapunov functionals for boundary-driven nonlinear drift–diffusion equations

We exhibit a large class of Lyapunov functionals for nonlinear drift–diffusion equations with non-homogeneous Dirichlet boundary conditions. These are generalizations of large deviation functionals for underlying stochastic manyparticle systems, the zero-range process and the Ginzburg–Landau dynamics, which we describe briefly. We prove, as an application, linear inequalities between such an en...

Solving the Drift Diffusion Equations

The Drift Diffusion equations constitute the simplest and most commonly used model for simulating semiconductor devices. This paper contains a comparitive study of the performance and stability of several algorithms that solve these coupled equations without decoupling them. The considered techniques include Successive Over-Relaxation schemes, Nonlinear Conjugate Gradients, and Damped Inexact N...

the stady and analysis of rice agroclimatology in lenjan

the west of esfahan province, iran, is one of the most important agricultural areas throughout the country due to the climate variability and life-giving water of zayanderood river. rice is one of the major and economic crops in this area. the most important climatic elements in agricultural activities which should be considered include temperature, relative humidity, precipitation and wind. so...