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Extensive Lyapunov functionals for moment-preserving evolution equations

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Publication:1600130
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DOI10.1016/S1631-073X(02)02266-5zbMath1090.82026OpenAlexW2026529414MaRDI QIDQ1600130

Jean-François Collet

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02266-5



Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Kinetic theory of gases in time-dependent statistical mechanics (82C40)


Related Items

On the ellipsoidal statistical model for polyatomic gases ⋮ Analysis of the \(M 1\) model: well-posedness and diffusion asymptotics ⋮ Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels ⋮ Localized minimizers of flat rotating gravitational systems ⋮ Logarithmic Sobolev inequalities for inhomogeneous Markov Semigroups



Cites Work

  • On a quantum Boltzmann equation for a gas of photons.
  • Domain of definition of Levermore's five-moment system
  • Remarks on entropy and equilibrium states
  • Boltzmann Type Schemes for Gas Dynamics and the Entropy Property
  • MAXIMUM ENTROPY FOR REDUCED MOMENT PROBLEMS
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