Stability of steady state solutions to a hydrodynamic model of semiconductors

Harumi Hattori

doi:10.1117/12.208868

5 May 1995 Stability of steady state solutions to a hydrodynamic model of semiconductors

Harumi Hattori

Proceedings Volume 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures; (1995) https://doi.org/10.1117/12.208868
Event: Smart Structures and Materials '95, 1995, San Diego, CA, United States

Abstract

We discuss the stability of steady state solutions for a hydrodynamic model of semiconductors. We study the case where the doping profile is close to a positive constant and depends on the spacial variable x. We shall show that the steady state solution is asymptotically stable with respect to small perturbations in H²(R).

Citation Download Citation

Harumi Hattori "Stability of steady state solutions to a hydrodynamic model of semiconductors", Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); https://doi.org/10.1117/12.208868

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