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Advanced Nonlinear Studies

Editor-in-Chief: Ahmad, Shair


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Volume 7, Issue 4

Issues

The Global Existence and Semiclassical Limit of Weak Solutions to Multidimensional Quantum Drift-diffusion Model

Xiuqing Chen
Published Online: 2016-03-10 | DOI: https://doi.org/10.1515/ans-2007-0408

Abstract

We establish the global weak solutions to quantum drift-diffusion model, a fourth order parabolic system, in two or there space dimensions with large initial value and periodic boundary conditions and furthermore obtain the semiclassical limit by entropy estimate and compactness argument.

Keywords: quantum drift-diffusion; fourth order parabolic system; weak solution; semiclassical limit

About the article

Published Online: 2016-03-10

Published in Print: 2007-11-01


Citation Information: Advanced Nonlinear Studies, Volume 7, Issue 4, Pages 651–670, ISSN (Online) 2169-0375, ISSN (Print) 1536-1365, DOI: https://doi.org/10.1515/ans-2007-0408.

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Citing Articles

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[1]
Jian Wei Dong
Advanced Materials Research, 2012, Volume 466-467, Page 186
[2]
Jianwei Dong
Journal of Mathematical Analysis and Applications, 2013, Volume 399, Number 2, Page 594
[3]
Xiuqing Chen and Li Chen
Journal of Mathematical Analysis and Applications, 2008, Volume 343, Number 1, Page 64

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