On a one-dimensional steady-state hydrodynamic model for semiconductors

P. Degond*, P. A. Markowich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

165 Scopus citations


We present a hydrodynamic model for semiconductors, where the energy equation is replaced by a pressure-density relationship. We prove existence of smooth solutions and a uniqueness result in the subsonic case, which is characterized by a smallness assumption on the current flowing through the device.

Original languageEnglish (US)
Pages (from-to)25-29
Number of pages5
JournalApplied Mathematics Letters
Issue number3
StatePublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics


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