From Newton's law to the linear Boltzmann equation without cut-off

DOI10.1007/s00220-016-2821-6zbMath1360.82076OpenAlexW2573941525WikidataQ111271247 ScholiaQ111271247MaRDI QIDQ514329

Nathalie Ayi

Publication date: 1 March 2017

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

Full work available at URL: https://doi.org/10.1007/s00220-016-2821-6

zbMATH Keywords

linear Boltzmann equationNewton's law

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (12)

Optimal Control of the Keilson-Storer Master Equation in a Monte Carlo Framework ⋮ From Newton to Navier–Stokes, or how to connect fluid mechanics equations from microscopic to macroscopic scales ⋮ Derivation of a non-autonomous linear Boltzmann equation from a heterogeneous Rayleigh gas ⋮ From hard sphere dynamics to the Stokes-Fourier equations: an \(L^2\) analysis of the Boltzmann-Grad limit ⋮ About Lanford's theorem in the half-space with specular reflection ⋮ The grazing collisions limit from the linearized Boltzmann equation to the Landau equation for short-range potentials ⋮ Dynamics of dilute gases: a statistical approach ⋮ MOCOKI: a Monte Carlo approach for optimal control in the force of a linear kinetic model ⋮ On the dynamics of dilute gases ⋮ The rigorous derivation of the linear Landau equation from a particle system in a weak-coupling limit ⋮ One-sided convergence in the Boltzmann–Grad limit ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications

Cites Work

• Unnamed Item
• From Newton to Boltzmann: hard spheres and short-range potentials
• Global existence and full regularity of the Boltzmann equation without angular cutoff
• The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential
• The Boltzmann equation and its applications
• Equilibrium time correlation functions in the low-density limit
• Steady state self-diffusion at low density
• From particle systems to the Landau equation: a consistency result
• From hard spheres dynamics to the Stokes-Fourier equations: an image analysis of the Boltzmann-Grad limit
• Linear diffusive limit of deterministic systems of hard spheres
• THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF IN THE WHOLE SPACE: II, GLOBAL EXISTENCE FOR HARD POTENTIAL
• Global classical solutions of the Boltzmann equation with long-range interactions
• Time evolution of large classical systems
• Remarks on 3D Boltzmann linear equation without cutoff
• On the Boltzmann equation for long-range interactions
• THE LINEAR BOLTZMANN EQUATION FOR LONG-RANGE FORCES: A DERIVATION FROM PARTICLE SYSTEMS
• On the validity of the Boltzmann equation for short range potentials

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