Long time decay rate to a bipolar quantum drift-diffusion model

DOI10.1155/2015/163630zbMath1329.35071OpenAlexW1556308618WikidataQ59112765 ScholiaQ59112765MaRDI QIDQ492499

Bo Liang, Yingjie Zhu, Xiting Peng

Publication date: 20 August 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/163630

zbMATH Keywords

one space dimensionentropy functional methodquantum effects in semiconductor devicessemidiscrete technique

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40)

Cites Work

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• A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities
• Higher order nonlinear degenerate parabolic equations
• Exponential decay to a quantum hydrodynamic model for semiconductors
• Exponential time decay of solutions to a nonlinear fourth-order parabolic equation
• A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane
• Thin Films with High Surface Tension

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