On semi-classical limit of spatially homogeneous quantum Boltzmann equation: asymptotic expansion

DOI10.1007/s00220-024-05174-5MaRDI QIDQ6658715

Mario Pulvirenti, Yu-Long Zhou, Xuguang Lu, Ling-Bing He

Publication date: 8 January 2025

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Partial differential equations of mathematical physics and other areas of application (35Qxx) General topics in partial differential equations (35Axx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
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
Transport phenomena in Einstein-Bose and Fermi-Dirac gases. I.
On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: global existence of weak solutions
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
On the kinetic method in the new statistics and its application in the electron theory of conductivity.
Global existence of solutions of the Boltzmann equation for Bose-Einstein particles with anisotropic initial data
From particle systems to the Landau equation: a consistency result
The spatially homogeneous Boltzmann equation for Bose-Einstein particles: rate of strong convergence to equilibrium
The relativistic quantum Boltzmann equation near equilibrium
On semi-classical limit of spatially homogeneous quantum Boltzmann equation: weak convergence
The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation
Stability of vacuum for the Boltzmann equation with moderately soft potentials
Finite time blow-up and condensation for the bosonic Nordheim equation
On the quantum Boltzmann equation
Some considerations on the derivation of the nonlinear quantum Boltzmann equation
From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime
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
On the quantum Boltzmann equation near Maxwellian and vacuum
Fourier Analysis and Nonlinear Partial Differential Equations
ON THE WEAK-COUPLING LIMIT FOR BOSONS AND FERMIONS
On asymptotics of the Boltzmann equation when the collisions become grazing
On spatially homogeneous solutions of a modified Boltzmann equation for Fermi-Dirac particles.
Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials

This page was built for publication: On semi-classical limit of spatially homogeneous quantum Boltzmann equation: asymptotic expansion