Stability of hydrodynamic model for semiconductor

Massimiliano Daniele Rosini

Dipartimento di Matematica e Applicazioni ``R. Caccioppoli'', Universita di Napoli ``Federico II'', Complesso Monte S. Angelo - Via Cintia, 80126 Napoli, Italy

Dipartimento di Matematica Pura ed Applicata, Universita di L'Aquila, Via Vetoio, 67100 L'Aquila, Italy


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.

AMSclassification. 35B35, 82D37, 35L50.

Keywords. Transonic shock waves, stability, hydrodynamic models, semiconductors.