Kinetic relaxation models for energy transport

DOI10.1007/S10955-006-9273-XzbMath1126.82034OpenAlexW2103616636MaRDI QIDQ2369997

Shigeru Takata, Kazuo Aoki, Peter Alexander Markowich

Publication date: 21 June 2007

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-006-9273-x

zbMATH Keywords

entropyenergy transportkinetic equationGibbs statediffusive limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Statistical mechanics of semiconductors (82D37) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Galactic and stellar dynamics (85A05) Statistical mechanics of gases (82D05)

Related Items (3)

Transportation system evaluation model based on DEA ⋮ Numerical method for hydrodynamic modulation equations describing Bloch oscillations in semiconductor superlattices ⋮ Nonequilibrium free energy, H theorem and self-sustained oscillations for Boltzmann–BGK descriptions of semiconductor superlattices

Cites Work

• Mathematics of granular materials
• Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels
• The Boltzmann equation and its applications
• An energy-transport model for semiconductors derived from the Boltzmann equation.
• Kinetic theory and fluid dynamics
• Symmetrization and entropy inequality for general diffusion equations
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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