Diffusion approximations of a linear kinetic equation with inelastic scattering: Asymptotic analysis and numerical results

DOI10.1080/00411459908205854zbMath0943.35070OpenAlexW2160748493WikidataQ70722530 ScholiaQ70722530MaRDI QIDQ4719438

Lucio Demeio, Jacek Banasiak

Publication date: 4 January 2000

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459908205854

zbMATH Keywords

kinetic equationChapman-Enskog methodsmall timediffusion approximation of the Boltzmann equation with inelastic scattering

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items

INTERPLAY OF ELASTIC AND INELASTIC SCATTERING OPERATORS IN EXTENDED KINETIC MODELS AND THEIR HYDRODYNAMIC LIMITS: REFERENCE MANUAL, MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY, Diffusion limits of the linear boltzmann equation in extended kinetic theory: Weak and strong inelastic collisions, Diffusion Approximation of Linear Kinetic Equations with Non‐equilibrium Data—Computational Experiments

Cites Work

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• The asymptotic behaviour of semigroups of linear operators
• Kinetic Models in Natural Sciences
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• Kinetic theory with inelastic interactions
• ASYMPTOTIC ANALYSIS FOR A PARTICLE TRANSPORT EQUATION WITH INELASTIC SCATTERING IN EXTENDED KINETIC THEORY
• Boltzmann equation for inelastic scattering