Fast conservative and entropic numerical methods for the boson Boltzmann equation

DOI10.1007/s00211-004-0570-5zbMath1204.82031arXiv1009.2748OpenAlexW2963017720MaRDI QIDQ1769086

Lorenzo Pareschi, Peter Alexander Markowich

Publication date: 17 March 2005

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2748

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (15)

Long time convergence of the Bose-Einstein condensation ⋮ Global existence and long time behavior of solutions of a quantum Boltzmann equation ⋮ Fixed points and flow analysis on off-equilibrium dynamics in the boson Boltzmann equation ⋮ A kinetic beam scheme for ideal quantum gas dynamics ⋮ On deterministic numerical methods for the quantum Boltzmann-nordheim equation. I. Spectrally accurate approximations, Bose-Einstein condensation, Fermi-Dirac saturation ⋮ Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons ⋮ On the Boltzmann equation for 2D Bose-Einstein particles ⋮ The Boltzmann equation for Bose-Einstein particles: condensation in finite time ⋮ Long time strong convergence to Bose-Einstein distribution for low temperature ⋮ Finite Time Blow Up in Kaniadakis–Quarati Model of Bose–Einstein Particles ⋮ The spatially homogeneous Boltzmann equation for Bose-Einstein particles: rate of strong convergence to equilibrium ⋮ Numerical methods for kinetic equations ⋮ Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy ⋮ The Boltzmann equation for Bose-Einstein particles: regularity and condensation ⋮ A fast algorithm for the energy space boson Boltzmann collision operator

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