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- W2040437566 abstract "We study the asymptotic behavior of the semiconductor drift-diffusion (DD) equations with a vanishing diffusion term. In order to obtain a closed limit problem, we need to introduce two new variables involving the logarithm of the electronic concentration. We show that the limit problem is a coupled system of Hamilton–Jacobi equations and variational inequalities. In the mono-dimensional case, we show that this limit problem has a unique solution, which allows us to prove the convergence of the DD model for vanishing viscosities. Our method, which is an extension of previous asymptotic studies, sheds new light on the convergence of the electronic concentration, improves some necessary mathematical hypotheses and provides an original approach to the problem, well suited for numerical purposes." @default.
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- W2040437566 date "1997-02-01" @default.
- W2040437566 modified "2023-09-24" @default.
- W2040437566 title "Asymptotic Analysis of the Drift-Diffusion Equations and Hamilton–Jacobi Equations" @default.
- W2040437566 doi "https://doi.org/10.1142/s0218202597000050" @default.
- W2040437566 hasPublicationYear "1997" @default.
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