Simultaneous diffusion and homogenization asymptotic for the linear Boltzmann equation

DOI10.3233/ASY-161388zbMath1361.35126arXiv1605.01610MaRDI QIDQ2953559

Claude Bardos, Harsha Hutridurga

Publication date: 4 January 2017

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01610

zbMATH Keywords

diffusion approximationhomogenizationmoment method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boltzmann equations (35Q20)

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Cites Work

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• Homogenization and Diffusion Asymptotics of the Linear Boltzmann Equation
• Homogenization of Transport Equations
• Homogenization of the criticality spectral equation in neutron transport
• A Corrector Theory for Diffusion-Homogenization Limits of Linear Transport Equations
• Diffusion and Homogenization Limits with Separate Scales
• Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation
• Shape optimization by the homogenization method

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