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

DOI10.1016/j.jde.2008.06.028zbMath1167.35007OpenAlexW2079806879MaRDI QIDQ947135

Xuguang Lu

Publication date: 29 September 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.06.028

zbMATH Keywords

weak stabilityCoulomb interactionweak angular cutoff

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear first-order PDEs (35F20)

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Well-Posedness of the Cauchy Problem for a Space-Dependent Anyon Boltzmann Equation, On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: averaging compactness of weak solutions, On the quantum Boltzmann equation near Maxwellian and vacuum, On the convergence to equilibrium for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles, Smoothing effects for the classical solutions to the Landau-Fermi-Dirac equation, 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, The compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics, On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate, Existence and conservation laws for the Boltzmann-Fermi-Dirac equation in a general domain, The relativistic quantum Boltzmann equation near equilibrium, The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation, Global existence and stability of solutions of spatially homogeneous Boltzmann equation for Fermi-Dirac particles

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