Article ID Journal Published Year Pages File Type
843764 Nonlinear Analysis: Theory, Methods & Applications 2008 9 Pages PDF
Abstract

We study the quantum drift-diffusion model, a fourth-order parabolic system, with Dirichlet boundary conditions. Using a semi-discretization approximate method with a compact argument and applying a new entropy estimate, we prove the existence of global regular weak solutions.

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Physical Sciences and Engineering Engineering Engineering (General)
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The Dirichlet problem of the quantum drift-diffusion model
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