Archive for Rational Mechanics and Analysis

, Volume 179, Issue 1, pp 1–30 | Cite as

Stability of Semiconductor States with Insulating and Contact Boundary Conditions

  • Yan GuoEmail author
  • Walter Strauss


We prove the existence of global smooth solutions near a given steady state of the hydrodynamic model of the semiconductors in a bounded domain with physical boundary conditions. The steady state and the doping profile are permitted to be of large variation but the initial velocity must be small. Two cases are considered. In the first one the problem is three-dimensional, the boundary conditions are insulating and the steady state velocity vanishes. In the second one, the problem is one-dimensional, the boundary is of contact type and the steady state velocity does not vanish.


Boundary Condition Neural Network Steady State Complex System Nonlinear Dynamics 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Lefschetz Center for Dynamical Systems, Division of Applied MathematicsBrown UniversityUSA
  2. 2.Department of MathematicsBrown UniversityUSA

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