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Diffusion limit of a nonlinear kinetic model without the detailed balance principle

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Publication:1598194
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DOI10.1007/s605-002-8265-1zbMath0992.82031OpenAlexW1973603678MaRDI QIDQ1598194

Antoine Mellet

Publication date: 29 May 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s605-002-8265-1


zbMATH Keywords

Boltzmann equationnonlinear drift-diffusion


Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Second-order parabolic systems (35K40)


Related Items (6)

General entropy equations for structured population models and scattering ⋮ ANALYSIS OF A SPHERICAL HARMONICS EXPANSION MODEL OF PLASMA PHYSICS ⋮ \(L^1\) contraction property for a Boltzmann equation with Pauli statistics ⋮ On the Diffusion Limit of a Semiconductor Boltzmann–Poisson System Without Micro-Reversible Process ⋮ General relative entropy inequality: an illustration on growth models ⋮ On fluid limit for the semiconductors Boltzmann equation




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