Mixed boundary conditions for a simplified quantum energy-transport model in multi-dimensional domains

DOI10.4310/CMS.2017.V15.N3.A4zbMath1367.35177OpenAlexW2590513897MaRDI QIDQ2627208

Xiangsheng Xu

Publication date: 30 May 2017

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

Full work available at URL: https://doi.org/10.4310/cms.2017.v15.n3.a4

zbMATH Keywords

mixed boundary conditionstemperature gradientLipschitz domainsdegenerate fourth-order parabolic equationsquantum energy-transport model for semiconductors

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Statistical mechanics of crystals (82D25) Degenerate parabolic equations (35K65) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Hypersonic flows (76K05) PDEs in connection with statistical mechanics (35Q82) Initial-boundary value problems for higher-order parabolic systems (35K52)

This page was built for publication: Mixed boundary conditions for a simplified quantum energy-transport model in multi-dimensional domains