A new blow-up criterion of the strong solution to the quantum hydrodynamic model

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107045 ◽

2021 ◽

pp. 107045

Author(s):

Guangwu Wang ◽

Boling Guo

Keyword(s):

Strong Solution ◽

Hydrodynamic Model ◽

Blow Up ◽

Quantum Hydrodynamic Model ◽

Quantum Hydrodynamic ◽

Blow Up Criterion

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A Blow-Up Criterion of Strong Solutions to the Quantum Hydrodynamic Model

Acta Mathematica Scientia ◽

10.1007/s10473-020-0314-3 ◽

2020 ◽

Vol 40 (3) ◽

pp. 795-804

Author(s):

Wang Guangwu ◽

Guo Boling

Keyword(s):

Hydrodynamic Model ◽

Blow Up ◽

Strong Solutions ◽

Quantum Hydrodynamic Model ◽

Quantum Hydrodynamic ◽

Blow Up Criterion

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Quasineutral limit of the viscous quantum hydrodynamic model for semiconductors

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.11.011 ◽

2009 ◽

Vol 352 (2) ◽

pp. 620-628 ◽

Author(s):

Fucai Li

Keyword(s):

Hydrodynamic Model ◽

Quantum Hydrodynamic Model ◽

Quasineutral Limit ◽

Quantum Hydrodynamic

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Semiconductor full quantum hydrodynamic model with non-flat doping profile: (II) semi-classical limit

Applicable Analysis ◽

10.1080/00036811.2021.1999423 ◽

2021 ◽

pp. 1-21

Author(s):

Haifeng Hu ◽

Kaijun Zhang

Keyword(s):

Hydrodynamic Model ◽

Classical Limit ◽

Doping Profile ◽

Quantum Hydrodynamic Model ◽

Quantum Hydrodynamic ◽

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Nonlinear Quantum Hydrodynamic Model for the Electron Gas

Spectroscopy and Dynamics of Collective Excitations in Solids - NATO ASI Series ◽

10.1007/978-1-4615-5835-4_53 ◽

1997 ◽

pp. 629-629

Author(s):

A. Bergara

Keyword(s):

Hydrodynamic Model ◽

Electron Gas ◽

Quantum Hydrodynamic Model ◽

Nonlinear Quantum ◽

Quantum Hydrodynamic

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Existence and uniqueness of steady states to semiconductor bipolar full quantum hydrodynamic model

Applicable Analysis ◽

10.1080/00036811.2021.2005787 ◽

2021 ◽

pp. 1-13

Author(s):

Haifeng Hu

Keyword(s):

Hydrodynamic Model ◽

Existence And Uniqueness ◽

Steady States ◽

Quantum Hydrodynamic Model ◽

Quantum Hydrodynamic ◽

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The stationary solution of a one-dimensional bipolar quantum hydrodynamic model

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124537 ◽

2021 ◽

Vol 493 (1) ◽

pp. 124537

Author(s):

Jing Hu ◽

Yeping Li ◽

Jie Liao

Keyword(s):

Stationary Solution ◽

Hydrodynamic Model ◽

One Dimensional ◽

Quantum Hydrodynamic Model ◽

Quantum Hydrodynamic

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Resonant tunneling in the smooth quantum hydrodynamic model for semiconductor devices

Transport Theory and Statistical Physics ◽

10.1080/00411450008205892 ◽

2000 ◽

Vol 29 (3-5) ◽

pp. 563-570 ◽

Author(s):

Carl L. Gardner ◽

Christain Ringhofer

Keyword(s):

Hydrodynamic Model ◽

Resonant Tunneling ◽

Semiconductor Devices ◽

Quantum Hydrodynamic Model ◽

Quantum Hydrodynamic

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Asymptotic stability and semi-classical limit for bipolar quantum hydrodynamic model

Communications in Mathematical Sciences ◽

10.4310/cms.2016.v14.n8.a10 ◽

2016 ◽

Vol 14 (8) ◽

pp. 2331-2371 ◽

Author(s):

Haifeng Hu ◽

Ming Mei ◽

Kaijun Zhang

Keyword(s):

Asymptotic Stability ◽

Hydrodynamic Model ◽

Classical Limit ◽

Quantum Hydrodynamic Model ◽

Quantum Hydrodynamic

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Dispersion relation of dust acoustic wave in multi-wall fullerene studied by the quantum hydrodynamic model

Optics Communications ◽

10.1016/j.optcom.2010.12.095 ◽

2011 ◽

Vol 284 (8) ◽

pp. 2236-2238 ◽

Author(s):

Ali Fathalian ◽

Shahram Nikjo

Keyword(s):

Dispersion Relation ◽

Acoustic Wave ◽

Hydrodynamic Model ◽

Quantum Hydrodynamic Model ◽

Dust Acoustic Wave ◽

Dust Acoustic ◽

Quantum Hydrodynamic

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Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension

Applied Mathematics Letters ◽

10.1016/0893-9659(94)00109-p ◽

1995 ◽

Vol 8 (1) ◽

pp. 47-52 ◽

Author(s):

F Brezzi ◽

I Gasser ◽

P.A Markowich ◽

C Schmeiser

Keyword(s):

Hydrodynamic Model ◽

Thermal Equilibrium ◽

Equilibrium States ◽

One Dimension ◽

Quantum Hydrodynamic Model ◽

Quantum Hydrodynamic

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