Bounded weak solutions to a matrix drift–diffusion model for spin-coherent electron transport in semiconductors

DOI10.1142/S0218202515500232zbMath1396.35029arXiv1312.2461OpenAlexW2104531849MaRDI QIDQ5247100

Ansgar Jüngel, Polina Shpartko, Claudia Negulescu

Publication date: 22 April 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2461

zbMATH Keywords

semiconductorsbounded weak solutionsMoser iterationStampacchia truncationspinor drift-diffusion equationsAlikakos iteration

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (6)

Macroscopic limit of the kinetic Bloch equation ⋮ The Bloch-Torrey limit of a kinetic transport system ⋮ Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system ⋮ A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors ⋮ Large-time asymptotics for a matrix spin drift-diffusion model ⋮ Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction

Cites Work

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• Entropy production for quantum dynamical semigroups
• Maximal Regularity for Nonautonomous Evolution Equations
• Quantum drift-diffusion modeling of spin transport in nanostructures
• Nonlinear Electron and Spin Transport in Semiconductor Superlattices

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