The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model

DOI10.1007/s11401-006-0568-7zbMath1145.35384OpenAlexW2012618864MaRDI QIDQ926543

Li Chen, Huai-Yu Jian, Xiu-Qing Chen

Publication date: 20 May 2008

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-006-0568-7

zbMATH Keywords

weak solutionlogarithmic Sobolev inequalitylong-time behaviorentropy estimatesemi-discretization in timequantum drift-diffusionfourth order parabolic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

Viscous quantum hydrodynamics and parameter-elliptic systems ⋮ Quantum Semiconductor Models ⋮ Existence of global attractor for the one-dimensional bipolar quantum drift-diffusion model ⋮ Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors ⋮ The bipolar quantum drift-diffusion model

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