Long time strong convergence to Bose-Einstein distribution for low temperature

DOI10.3934/krm.2018029zbMath1405.82027OpenAlexW2797168069WikidataQ129961312 ScholiaQ129961312MaRDI QIDQ1715948

Xuguang Lu

Publication date: 29 January 2019

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2018029

zbMATH Keywords

Boltzmann equationlow temperatureBose-Einstein particleslong time strong convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) PDEs in connection with statistical mechanics (35Q82)

Related Items

On the quantum Boltzmann equation near Maxwellian and vacuum, On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions, Global Dynamics and Photon Loss in the Kompaneets Equation, Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials, Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons, The spatially homogeneous Boltzmann equation for Bose-Einstein particles: rate of strong convergence to equilibrium, On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift

Cites Work

• Long time convergence of the Bose-Einstein condensation
• On the Cauchy problem for the homogeneous Boltzmann-Nordheim equation for bosons: local existence, uniqueness and creation of moments
• Bose condensates in interaction with excitations: a kinetic model
• The Boltzmann equation for Bose-Einstein particles: regularity and condensation
• Kinetics of the Bose-Einstein condensation
• Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids
• Fast conservative and entropic numerical methods for the boson Boltzmann equation
• The Boltzmann equation for Bose-Einstein particles: condensation in finite time
• On low temperature kinetic theory; spin diffusion, Bose Einstein condensates, anyons
• Finite time blow-up and condensation for the bosonic Nordheim equation
• On the quantum Boltzmann equation
• On isotropic distributional solutions to the Boltzmann equation for Bose-Einstein particles
• On the blow up and condensation of supercritical solutions of the Nordheim equation for bosons
• The Boltzmann equation for Bose-Einstein particles: velocity concentration and convergence to equilibrium
• ON THE WEAK-COUPLING LIMIT FOR BOSONS AND FERMIONS
• Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I
• Blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation
• Singular solutions for the Uehling–Uhlenbeck equation
• Unnamed Item
• Unnamed Item
• Unnamed Item