Large time behavior framework for the time-increasing weak solutions of bipolar hydrodynamic model of semiconductors

Mengmeng Shang;

doi:10.3934/math.2017.1.102

Large time behavior framework for the time-increasing weak solutions of bipolar hydrodynamic model of semiconductors

AIMS Mathematics ◽

10.3934/math.2017.1.102 ◽

2017 ◽

Vol 2 (1) ◽

pp. 102-110

Author(s):

Mengmeng Shang ◽

Keyword(s):

Weak Solutions ◽

Hydrodynamic Model ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Bipolar Hydrodynamic Model

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Large-time behavior of entropy solutions to bipolar hydrodynamic model for semiconductors

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103205 ◽

2021 ◽

Vol 57 ◽

pp. 103205

Author(s):

Ran Guo ◽

Huimin Yu ◽

Difan Yuan

Keyword(s):

Hydrodynamic Model ◽

Large Time ◽

Large Time Behavior ◽

Entropy Solutions ◽

Time Behavior ◽

Bipolar Hydrodynamic Model

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Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2009.24.455 ◽

2009 ◽

Vol 24 (2) ◽

pp. 455-470 ◽

Cited By ~ 36

Author(s):

Feimin Huang ◽

◽

Yeping Li ◽

Keyword(s):

Hydrodynamic Model ◽

Large Time ◽

Large Data ◽

Large Time Behavior ◽

Time Behavior ◽

Quasineutral Limit ◽

Bipolar Hydrodynamic Model

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Large time behavior of solutions to multi-dimensional bipolar hydrodynamic model of semiconductors with vacuum

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.01.051 ◽

2016 ◽

Vol 438 (2) ◽

pp. 856-874 ◽

Cited By ~ 7

Author(s):

Huimin Yu ◽

Yunlei Zhan

Keyword(s):

Hydrodynamic Model ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Bipolar Hydrodynamic Model

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Large time behavior of a bipolar hydrodynamic model with large data andvacuum

AIMS Mathematics ◽

10.3934/math.2018.1.56 ◽

2018 ◽

Vol 3 (1) ◽

pp. 56-65

Author(s):

Yunlei Zhan ◽

Keyword(s):

Hydrodynamic Model ◽

Large Time ◽

Large Data ◽

Large Time Behavior ◽

Time Behavior ◽

Bipolar Hydrodynamic Model

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Large time behavior of solutions to a bipolar hydrodynamic model with big data and vacuum

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.08.007 ◽

2017 ◽

Vol 34 ◽

pp. 446-458 ◽

Cited By ~ 4

Author(s):

Jing Li ◽

Huimin Yu

Keyword(s):

Big Data ◽

Hydrodynamic Model ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Bipolar Hydrodynamic Model

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Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-0968-z ◽

2018 ◽

Vol 69 (3) ◽

Cited By ~ 6

Author(s):

Feimin Huang ◽

Tianhong Li ◽

Huimin Yu ◽

Difan Yuan

Keyword(s):

Hydrodynamic Model ◽

Large Time ◽

Semiconductor Devices ◽

Large Time Behavior ◽

Entropy Solutions ◽

Time Behavior ◽

One Dimensional

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Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139996312168 ◽

1998 ◽

Vol 59 (3) ◽

pp. 810-830 ◽

Cited By ~ 70

Author(s):

Roberto Natalini ◽

Tao Luo ◽

Zhouping Xin

Keyword(s):

Hydrodynamic Model ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior

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Large time behavior of entropy solutions to a unipolar hydrodynamic model of semiconductors

Communications in Mathematical Sciences ◽

10.4310/cms.2016.v14.n1.a4 ◽

2016 ◽

Vol 14 (1) ◽

pp. 69-82 ◽

Cited By ~ 6

Author(s):

Huimin Yu

Keyword(s):

Hydrodynamic Model ◽

Large Time ◽

Large Time Behavior ◽

Entropy Solutions ◽

Time Behavior

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On energy inequality, smoothness and large time behavior inL 2 for weak solutions of the Navier-Stokes equations in exterior domains

Mathematische Zeitschrift ◽

10.1007/bf01161636 ◽

1988 ◽

Vol 199 (4) ◽

pp. 455-478 ◽

Cited By ~ 66

Author(s):

Tetsuro Miyakawa ◽

Hermann Sohr

Keyword(s):

Weak Solutions ◽

Large Time ◽

Stokes Equations ◽

Energy Inequality ◽

Large Time Behavior ◽

Navier Stokes ◽

Time Behavior ◽

Exterior Domains ◽

Navier Stokes Equations

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Uniform boundedness in time and large time behavior of weak solutions to a kind of dissipative system

Nonlinear Analysis ◽

10.1016/j.na.2010.07.040 ◽

2010 ◽

Vol 73 (11) ◽

pp. 3586-3597 ◽

Cited By ~ 1

Author(s):

Huimin Yu

Keyword(s):

Weak Solutions ◽

Large Time ◽

Dissipative System ◽

Uniform Boundedness ◽

Large Time Behavior ◽

Time Behavior

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