| Title: |
Existence and uniqueness of solution for multidimensional parabolic partial differential‐algebraic equations arising in semiconductor modeling |
| Authors: |
Alì, Giuseppe; Rotundo, Nella |
| Source: |
Mathematical Methods in the Applied Sciences ; volume 44, issue 7, page 6117-6142 ; ISSN 0170-4214 1099-1476 |
| Publisher Information: |
Wiley |
| Publication Year: |
2021 |
| Collection: |
Wiley Online Library (Open Access Articles via Crossref) |
| 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. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1002/mma.7175 |
| Availability: |
https://doi.org/10.1002/mma.7175; https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.7175; https://onlinelibrary.wiley.com/doi/full-xml/10.1002/mma.7175 |
| Rights: |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
| Accession Number: |
edsbas.DC9CD246 |
| Database: |
BASE |