The Fourier transforms for the spatially homogeneous Boltzmann equation and Landau equation

DOI10.1007/s13324-018-0223-yzbMath1416.76261OpenAlexW2792136956MaRDI QIDQ1999848

Yanyan Li

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0223-y

zbMATH Keywords

Fourier transformBoltzmann equationLandau equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation
• Intermolecular forces of infinite range and the Boltzmann equation
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
• On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions
• On the Landau approximation in plasma physics.
• Entropy dissipation and long-range interactions
• Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation.
• Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas
• Numerical solution of the Boltzmann equation on the uniform grid
• Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
• The Landau equation in a periodic box
• Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum
• A weak formulation of the Boltzmann equation based on the Fourier transform
• On the stability of spectral methods for the homogeneous Boltzmann equation
• A Fourier spectral method for homogeneous boltzmann equations
• Infinite energy solutions to the homogeneous Boltzmann equation
• Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
• Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
• LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES
• ON THE CONNECTION BETWEEN A SOLUTION OF THE BOLTZMANN EQUATION AND A SOLUTION OF THE LANDAU-FOKKER-PLANCK EQUATION

This page was built for publication: The Fourier transforms for the spatially homogeneous Boltzmann equation and Landau equation