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Author:

Feng, Yue-Hong (Feng, Yue-Hong.) | Hu, Haifeng (Hu, Haifeng.) | Mei, Ming (Mei, Ming.) | Zhu, Yingjie (Zhu, Yingjie.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we study a three-dimensional full hydrodynamic model in a bounded domain with insulating and adiabatic boundary. The model takes the form of nonisentropic Euler-Poisson system and incorporates recombination/generation terms, describing the bipolar transport of hot carriers in semiconductor optoelectronic devices. Of particular concern are the existence, uniqueness and exponential stability of thermal equilibrium states to the model, since these mathematical results are rendered useful in numerical simulation and physical theory of semiconductors. They are rigorously proved by the perturbation argument and energy method. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

Keyword:

Recombination-generation phenomenon Nonisentropic Euler-Poisson system Poisson-Boltzmann equation Perturbation argument Energy estimates Semiconductor bipolar transport

Author Community:

  • [ 1 ] [Feng, Yue-Hong]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100022, Peoples R China
  • [ 2 ] [Hu, Haifeng]Changchun Univ, Sch Math & Stat, Changchun 130022, Peoples R China
  • [ 3 ] [Zhu, Yingjie]Changchun Univ, Sch Math & Stat, Changchun 130022, Peoples R China
  • [ 4 ] [Mei, Ming]Champlain Coll, Dept Math, St Lambert, PQ J4P 3P2, Canada
  • [ 5 ] [Feng, Yue-Hong]McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
  • [ 6 ] [Hu, Haifeng]McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
  • [ 7 ] [Mei, Ming]McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

Reprint Author's Address:

  • [Hu, Haifeng]Changchun Univ, Sch Math & Stat, Changchun 130022, Peoples R China;;

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Source :

JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN: 0022-0396

Year: 2024

Volume: 403

Page: 465-509

2 . 4 0 0

JCR@2022

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

Affiliated Colleges:

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