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

Yue-Jun Peng

Displaying similar documents to “Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations”

The boundary behavior of a composite material

Maria Neuss-Radu (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order $ε$ in the energy norm.

A generalized 2-D Poincaré inequality.

Cavallini, Fabio, Crisciani, Fulvio (2000)

Journal of Inequalities and Applications [electronic only]

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Local existence of the solution to the initial-boundary value problem in nonlinear thermodiffusion in micropolar medium.

Gawinecki, J. (2000)

Zeitschrift für Analysis und ihre Anwendungen

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A modified quasi-boundary value method for an abstract ill-posed biparabolic problem

Khelili Besma, Boussetila Nadjib, Rebbani Faouzia (2017)

Open Mathematics

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In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to construct approximate stable solutions for the original ill-posed boundary value problem. Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact...