The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01540-8 ◽

2021 ◽

Vol 72 (3) ◽

Author(s):

Sungjin Ra ◽

Hakho Hong

Keyword(s):

Exponential Decay ◽

Global Solutions ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations ◽

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Asymptotic behaviors of the full quantum hydrodynamic equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.04.053 ◽

2017 ◽

Vol 454 (1) ◽

pp. 219-245 ◽

Author(s):

Xueke Pu ◽

Xiuli Xu

Keyword(s):

Hydrodynamic Equations ◽

Asymptotic Behaviors ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations ◽

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Exponential decay in time of solutions of the viscous quantum hydrodynamic equations

Applied Mathematics Letters ◽

10.1016/s0893-9659(03)90128-5 ◽

2003 ◽

Vol 16 (8) ◽

pp. 1273-1278 ◽

Author(s):

M.P. Gualdani ◽

A. Jüngel ◽

G. Toscani

Keyword(s):

Exponential Decay ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors

Applied Mathematics Letters ◽

10.1016/s0893-9659(97)00055-4 ◽

1997 ◽

Vol 10 (4) ◽

pp. 29-34 ◽

Author(s):

A. Jüngel

Keyword(s):

Hydrodynamic Equations ◽

Current Voltage ◽

Current Voltage Characteristics ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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QUANTUM HYDRODYNAMIC EQUATIONS FOR A TWO-BAND WIGNER-KANE MODEL

Waves and Stability in Continuous Media ◽

10.1142/9789812702937_0010 ◽

2004 ◽

Author(s):

STEFANO BIONDINI ◽

GIOVANNI FROSALI ◽

FRANCESCO MUGELLI

Keyword(s):

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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A derivation of the isothermal quantum hydrodynamic equations using entropy minimization

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200510232 ◽

2005 ◽

Vol 85 (11) ◽

pp. 806-814 ◽

Author(s):

A. Jüngel ◽

D. Matthes

Keyword(s):

Hydrodynamic Equations ◽

Entropy Minimization ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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Numerical integration of quantum hydrodynamic equations involving self-consistent electric field and isothermal pressure for one-dimensional stationary electron motion

10.1117/12.456243 ◽

2002 ◽

Author(s):

Andrey L. Sanin ◽

Konstantin V. Khodosevich ◽

Nikolay A. Krylov

Keyword(s):

Electric Field ◽

Numerical Integration ◽

Electron Motion ◽

Hydrodynamic Equations ◽

One Dimensional ◽

Self Consistent ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations ◽

Stationary Electron

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Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations

Journal of Differential Equations ◽

10.1016/j.jde.2009.09.001 ◽

2009 ◽

Vol 247 (11) ◽

pp. 3117-3135 ◽

Author(s):

Irene M. Gamba ◽

Ansgar Jüngel ◽

Alexis Vasseur

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Hydrodynamic Equations ◽

One Dimensional ◽

Global Existence Of Solutions ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization

SIAM Journal on Applied Mathematics ◽

10.1137/050644823 ◽

2006 ◽

Vol 67 (1) ◽

pp. 46-68 ◽

Author(s):

Ansgar Jüngel ◽

Daniel Matthes ◽

Josipa Pina Milišić

Keyword(s):

Hydrodynamic Equations ◽

Entropy Minimization ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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The relaxation-time limit in the quantum hydrodynamic equations for semiconductors

Journal of Differential Equations ◽

10.1016/j.jde.2005.11.007 ◽

2006 ◽

Vol 225 (2) ◽

pp. 440-464 ◽

Author(s):

Ansgar Jüngel ◽

Hai-Liang Li ◽

Akitaka Matsumura

Keyword(s):

Relaxation Time ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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Direct Numerical Solution of the Quantum Hydrodynamic Equations of Motion

Quantum Trajectories ◽

10.1201/b10287-26 ◽

2016 ◽

pp. 345-364

Keyword(s):

Numerical Solution ◽

Equations Of Motion ◽

Hydrodynamic Equations ◽

Direct Numerical Solution ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

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