Semiconductor full quantum hydrodynamic model with non-flat doping profile. I: Stability of steady state

DOI10.4310/CMS.2023.V21.N5.A2zbMath1527.35420OpenAlexW4386280804MaRDI QIDQ6071726

Hai-feng Hu, Kai-Jun Zhang

Publication date: 28 November 2023

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2023.v21.n5.a2

zbMATH Keywords

asymptotic stabilitysemiconductorfull quantum hydrodynamic modelnon-flat doping profiledispersive velocity term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) General aerodynamics and subsonic flows (76G25) Fixed-point theorems (47H10) Statistical mechanics of semiconductors (82D37) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for mixed-type systems of PDEs (35M33) PDEs in connection with semiconductor devices (35Q81)

This page was built for publication: Semiconductor full quantum hydrodynamic model with non-flat doping profile. I: Stability of steady state