Entropic convergence and the linearized limit for the boltzmann equation

DOI10.1080/03605309308820972zbMath0853.35094OpenAlexW2009479983MaRDI QIDQ3141788

C. David Levermore

Publication date: 9 November 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820972

zbMATH Keywords

linearizationBoltzmann equationfluctuationentropic convergence

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (8)

Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs ⋮ High magnetic field equilibria for the Fokker-Planck-Landau equation ⋮ Viscosity analysis on the Boltzmann equation ⋮ Finite Larmor radius regime: Collisional setting and fluid models ⋮ From the Boltzmann equation to an incompressible Navier-Stokes-Fourier system ⋮ Hydrodynamic limits for kinetic flocking models of Cucker-Smale type ⋮ Fluid models with phase transition for kinetic equations in swarming ⋮ Moment closure hierarchies for kinetic theories.

Cites Work

• Global existence to the BGK model of Boltzmann equation
• A survey of the theory of spectral operators
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation

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