Stability of hydrodynamic model for semiconductor

Massimiliano Daniele Rosini

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 1, page 37-58
  • ISSN: 0044-8753

Abstract

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In this paper we study the stability of transonic strong shock solutions of the steady state one-dimensional unipolar hydrodynamic model for semiconductors in the isentropic case. The approach is based on the construction of a pseudo-local symmetrizer and on the paradifferential calculus with parameters, which combines the work of Bony-Meyer and the introduction of a large parameter.

How to cite

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Rosini, Massimiliano Daniele. "Stability of hydrodynamic model for semiconductor." Archivum Mathematicum 041.1 (2005): 37-58. <http://eudml.org/doc/249496>.

@article{Rosini2005,
abstract = {In this paper we study the stability of transonic strong shock solutions of the steady state one-dimensional unipolar hydrodynamic model for semiconductors in the isentropic case. The approach is based on the construction of a pseudo-local symmetrizer and on the paradifferential calculus with parameters, which combines the work of Bony-Meyer and the introduction of a large parameter.},
author = {Rosini, Massimiliano Daniele},
journal = {Archivum Mathematicum},
keywords = {transonic shock waves; stability; hydrodynamic models; semiconductors; transonic strong shock solutions; one space dimension; pseudo-local symmetrizer; paradifferential calculus},
language = {eng},
number = {1},
pages = {37-58},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Stability of hydrodynamic model for semiconductor},
url = {http://eudml.org/doc/249496},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Rosini, Massimiliano Daniele
TI - Stability of hydrodynamic model for semiconductor
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 1
SP - 37
EP - 58
AB - In this paper we study the stability of transonic strong shock solutions of the steady state one-dimensional unipolar hydrodynamic model for semiconductors in the isentropic case. The approach is based on the construction of a pseudo-local symmetrizer and on the paradifferential calculus with parameters, which combines the work of Bony-Meyer and the introduction of a large parameter.
LA - eng
KW - transonic shock waves; stability; hydrodynamic models; semiconductors; transonic strong shock solutions; one space dimension; pseudo-local symmetrizer; paradifferential calculus
UR - http://eudml.org/doc/249496
ER -

References

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