On the generalization of the Boltzmann H-theorem for a spatially homogeneous Maxwell gas
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Publication:4033970
DOI10.1063/1.529578zbMath0825.76713OpenAlexW2042773070MaRDI QIDQ4033970
Giuseppe Toscani, Alexander V. Bobylev
Publication date: 16 May 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529578
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)
Related Items (10)
Strong convergence towards self-similarity for one-dimensional dissipative Maxwell models ⋮ Strong convergence inLpfor a spatially homogeneous Maxwell gas with cut-off ⋮ The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation ⋮ Tanaka theorem for inelastic Maxwell models ⋮ Lyapunov functionals for a Maxwell gas ⋮ Remarks on the \(H\) theorem for a non involutive Boltzmann like kinetic model ⋮ Differential entropy and dynamics of uncertainty ⋮ Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation ⋮ Fisher information estimates for Boltzmann's collision operator ⋮ Moment inequalities for the Boltzmann equation and applications to spatially homogneous problems
Cites Work
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- An Information-Theoretic Proof of the Central Limit Theorem with Lindeberg Conditions
- An inequality for a functional of probability distributions and its application to Kac's one-dimensional model of a Maxwellian gas
- Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
- The convolution inequality for entropy powers
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