On a Nonlinear Parabolic Problem arising in the Quantum Diffusive Description of a Degenerate Fermion Gas

DOI10.1137/140998263zbMath1338.35256arXiv2006.02992OpenAlexW3125240693MaRDI QIDQ2804952

Francesco Salvarani, Luigi Barletti

Publication date: 9 May 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02992

zbMATH Keywords

nonlinear parabolic equationsmixed boundary conditionsfermionsquantum drift diffusion

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Uses Software

• DLMF

Cites Work

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