The diffusion approximation of the Boltzmann equation of Maxwellian molecules

DOI10.2977/prims/1195182454zbMath0536.60098OpenAlexW2023493773MaRDI QIDQ792026

Tadahisa Funaki

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182454

zbMATH Keywords

Boltzmann equationLandau equationconvergence of semigroupsdiffusion limitassociated Markov processes

Mathematics Subject Classification ID

Applications of branching processes (60J85) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Initial value problems for linear higher-order PDEs (35G10) Transition functions, generators and resolvents (60J35) Higher-order parabolic equations (35K25)

Related Items (2)

The diffusion approximation of the spatially homogeneous Boltzmann equation ⋮ A certain class of diffusion processes associated with nonlinear parabolic equations

Cites Work

• Semigroups of conditioned shifts and approximation of Markov processes
• Propagation of chaos for Boltzmann-like equation of non-cutoff type in the plane
• Boundary layers and homogenization of transport processes
• A certain class of diffusion processes associated with nonlinear parabolic equations
• Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
• Diffusion processes with continuous coefficients, I
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