On the quantum Boltzmann equation near Maxwellian and vacuum

DOI10.1016/j.jde.2022.01.056OpenAlexW3127228058MaRDI QIDQ2669928

Yanyan Li

Publication date: 9 March 2022

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

Full work available at URL: https://arxiv.org/abs/2102.00657

zbMATH Keywords

stabilityenergy methodfermionsbosons

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Rarefied gas flows, Boltzmann equation in fluid mechanics (76Pxx)

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An explicit coercivity estimate of the linearized quantum Boltzmann operator without angular cutoff ⋮ On the convergence to equilibrium for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles ⋮ Global existence and large time behavior of the quantum Boltzmann equation with small relative entropy ⋮ Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials ⋮ Discrete quantum kinetic equation ⋮ Linear half-space problems in kinetic theory: Abstract formulation and regime transitions ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ 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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