An analytical study of smooth solutions of the Bløtekjær hydrodynamic model of electron transport

Joseph W. Jerome*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We study the Bløtekjær hydrodynamic model from the standpoint of local well-posedness. We employ analytical methods, originally introduced by T. Kato for complex systems, to obtain the existence of unique local smooth solutions of the Cauchy problem, with smooth initial data. The time interval is invariant with respect to vanishing heat flux. The model is self-consistent, and is developed for one-valley electron carriers only. A symmetrizer is introduced for the system, and regularization is employed to avoid the formation of singularities due to vacuum regions. In the regime studied, it is not possible for shocks to form.

Original languageEnglish (US)
Pages (from-to)729-742
Number of pages14
JournalVLSI Design
Volume15
Issue number4
DOIs
StatePublished - Dec 2002

Keywords

  • Bløtekjær model
  • Cauchy problem
  • Semigroup generators
  • Smooth solutions
  • Vanishing heat flux limit
  • Wiedemann-Franz law

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering

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