• Media type: Text; E-Article
  • Title: Existence and uniqueness of solution for multidimensional parabolic partial differential‐algebraic equations arising in semiconductor modeling
  • Contributor: Rotundo, Nella [Author]; Alì, Giuseppe [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2021
  • Language: English
  • DOI: https://doi.org/10.1002/mma.7175
  • ISSN: 0170-4214
  • Keywords: article ; Existence and uniqueness of solution -- multidimensional parabolic PDAEs -- network and semiconductor coupling model
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  • Description: This paper concerns with a compact network model combined with distributed models for semiconductor devices. For linear RLC networks containing distributed semiconductor devices, we construct a mathematical model that joins the differential-algebraic initial value problem for the electric circuit with multidimensional parabolic-elliptic boundary value problems for the devices. We prove an existence and uniqueness result and the asymptotic behavior of this mixed initial boundary value problem of partial differential-algebraic equations.