The Dirichlet problem of the quantum drift-diffusion model |
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| Authors: | Xiuqing Chen Li Chen Huaiyu Jian |
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| Affiliation: | 1. School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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| 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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| Keywords: | 35k35 35J60 65M12 65M20 |
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