On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: averaging compactness of weak solutions

DOI10.1007/s10955-006-9039-5zbMath1134.82036OpenAlexW2070657236MaRDI QIDQ857615

Xuguang Lu

Publication date: 19 December 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-006-9039-5

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (8)

Global existence of solutions of the Boltzmann equation for Bose-Einstein particles with anisotropic initial data ⋮ On the quantum Boltzmann equation near Maxwellian and vacuum ⋮ Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials ⋮ Quantum BGK Model near a Global Fermi--Dirac Distribution ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: global existence of weak solutions ⋮ The relativistic quantum Boltzmann equation near equilibrium ⋮ Global existence and stability of solutions of spatially homogeneous Boltzmann equation for Fermi-Dirac particles

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