Stability of transonic strong shock waves for the one-dimensional hydrodynamic model for semiconductors

被引：7

作者：

Rosini, MD

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy

[2] Univ Naples Federico II, Dipartimento Matemat & Appl R Caccioppoli, I-80126 Naples, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 199卷 / 02期

关键词：

transonic shock waves; stability; hydrodynamic models; semiconductors;

D O I：

10.1016/j.jde.2003.09.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the stability of transonic strong shock solutions of the steady-state one-dimensional unipolar hydrodynamic model for semiconductors. 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. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：326 / 351

页数：26

共 23 条

[1]

Asher U.M., 1991, MATH MODELS APPL SCI, V1, P347

[2] TRANSPORT EQUATIONS FOR ELECTRONS IN 2- VALLEY SEMICONDUCTORS [J].

BLOTEKJAER, K .

IEEE TRANSACTIONS ON ELECTRON DEVICES, 1970, ED17 (01) :38-+

[3]

Bony J. M., 1989, LECT NOTES MATH, V1495, P1

[4]

BONY JM, 1981, ANN SCI ECOLE NORM S, V14, P209

[5]

Chazarain J., 1982, INTRO THEORY LINEAR

[6]

COURANT R, 1948, SUPRSONIC FLOW SHOCK

[7] STABILITY OF STEP SHOCKS [J].

ERPENBECK, JJ .

PHYSICS OF FLUIDS, 1962, 5 (10) :1181-1187

[8]

Godlewski E., 1996, APPL MATH SCI, V118, P509

[9]

Kontorovich V. M., 1958, SOV PHYS JETP, V34, P127

[10] INITIAL BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC SYSTEMS [J].

KREISS, HO .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1970, 23 (03) :277-&

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