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Existence and uniqueness of solution for multidimensional parabolic PDAEs arising in semiconductor modeling
  • Giuseppe Alì,
  • Nella Rotundo
Giuseppe Alì
University of Calabria
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Nella Rotundo
Weierstrass Institute for Applied Analysis and Stochastics
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Abstract

We consider a linear RLC network, modeled by differential-algebraic equations, containing distributed semiconductor devices, modeled by multi-dimensional parabolic-elliptic equations. With appropriate coupling conditions, we obtain a system of multidimensional partial differential-algebraic equations. For the resulting system, we prove an existence and uniqueness result, and study the asymptotic behavior of the solutions.

Peer review status:ACCEPTED

14 Jan 2020Submitted to Mathematical Methods in the Applied Sciences
18 Jan 2020Submission Checks Completed
18 Jan 2020Assigned to Editor
18 Jan 2020Reviewer(s) Assigned
27 Jun 2020Review(s) Completed, Editorial Evaluation Pending
29 Jun 2020Editorial Decision: Revise Major
23 Nov 20201st Revision Received
24 Nov 2020Submission Checks Completed
24 Nov 2020Assigned to Editor
24 Nov 2020Reviewer(s) Assigned
30 Nov 2020Review(s) Completed, Editorial Evaluation Pending
21 Dec 2020Editorial Decision: Accept