Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction

Xueke Pu; Boling Guo

doi:10.3934/krm.2016.9.165

Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction

Kinetic and Related Models ◽

10.3934/krm.2016.9.165 ◽

2015 ◽

Vol 9 (1) ◽

pp. 165-191 ◽

Cited By ~ 10

Author(s):

Xueke Pu ◽

Boling Guo

Keyword(s):

Heat Conduction ◽

Global Existence ◽

Semiclassical Limit ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

Download Full-text

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 ◽

Cited By ~ 24

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

Download Full-text

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 ◽

Cited By ~ 11

Author(s):

A. Jüngel

Keyword(s):

Hydrodynamic Equations ◽

Current Voltage ◽

Current Voltage Characteristics ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

Download Full-text

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

Waves and Stability in Continuous Media ◽

10.1142/9789812702937_0010 ◽

2004 ◽

Cited By ~ 1

Author(s):

STEFANO BIONDINI ◽

GIOVANNI FROSALI ◽

FRANCESCO MUGELLI

Keyword(s):

Hydrodynamic Equations ◽

Kane Model ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

Download Full-text

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 ◽

Cited By ~ 26

Author(s):

A. Jüngel ◽

D. Matthes

Keyword(s):

Hydrodynamic Equations ◽

Entropy Minimization ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

Download Full-text

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

Download Full-text

Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization

SIAM Journal on Applied Mathematics ◽

10.1137/050644823 ◽

2006 ◽

Vol 67 (1) ◽

pp. 46-68 ◽

Cited By ~ 36

Author(s):

Ansgar Jüngel ◽

Daniel Matthes ◽

Josipa Pina Milišić

Keyword(s):

Hydrodynamic Equations ◽

Entropy Minimization ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

Download Full-text

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 ◽

Cited By ~ 5

Author(s):

Xueke Pu ◽

Xiuli Xu

Keyword(s):

Hydrodynamic Equations ◽

Asymptotic Behaviors ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations ◽

Full Quantum

Download Full-text

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 ◽

Cited By ~ 21

Author(s):

Ansgar Jüngel ◽

Hai-Liang Li ◽

Akitaka Matsumura

Keyword(s):

Relaxation Time ◽

Time Limit ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations

Download Full-text

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

Download Full-text

Quantum hydrodynamic equations for nanostructures with spatially varying effective mass

Superlattices and Microstructures ◽

10.1006/spmi.1993.1094 ◽

1993 ◽

Vol 13 (4) ◽

pp. 507

Author(s):

Kam-Wing Chai ◽

John G. Simmons

Keyword(s):

Effective Mass ◽

Hydrodynamic Equations ◽

Quantum Hydrodynamic ◽

Quantum Hydrodynamic Equations ◽

Spatially Varying

Download Full-text