Stability of hydrodynamic model for semiconductor

Rosini, Massimiliano Daniele

Archivum mathematicum, Tome 41 (2005) no. 1, pp. 37-58

Abstract (VO)

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.

Détail

Classification : 35B35, 35L50, 35L60, 35L67, 35S50, 76H05, 76X05, 82D37
Keywords: transonic shock waves; stability; hydrodynamic models; semiconductors

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