Homogenization and Hydrodynamic Limit for Fermi-Dirac Statistics Coupled to a Poisson Equation

DOI10.1002/cpa.21593zbMath1326.35224OpenAlexW1561353736MaRDI QIDQ2949772

Mohamed Lazhar Tayeb, Nader Masmoudi

Publication date: 2 October 2015

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.21593

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Renormalization group methods in equilibrium statistical mechanics (82B28) Boltzmann equations (35Q20)

Related Items (3)

Diffusion regime with a high and oscillating field ⋮ Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting ⋮ Homogenization and diffusion approximation of the Vlasov–Poisson–Fokker–Planck system: A relative entropy approach

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