Lyapunov functionals for a Maxwell gas
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Publication:1196243
DOI10.1007/BF01837112zbMath0759.76066MaRDI QIDQ1196243
Publication date: 15 December 1992
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
monotonicityspatially homogeneous Boltzmann equationconvex isotropic functionalMaxwellian pseudomolecules
Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)
Related Items (4)
Entropy production estimates for Boltzmann equations with physically realistic collision kernels ⋮ On convergence to equilibrium for Kac’s caricature of a Maxwell gas ⋮ Strong convergence inLpfor a spatially homogeneous Maxwell gas with cut-off ⋮ On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis
Cites Work
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation
- Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation
- New a priori estimates for the spatially homogeneous Boltzmann equation
- Convergence towards equilibrium for a gas of Maxwellian pseudomolecules
- An Information-Theoretic Proof of the Central Limit Theorem with Lindeberg Conditions
- On the generalization of the Boltzmann H-theorem for a spatially homogeneous Maxwell gas
- 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
- An exponential formula for solving Boltzmann's equation for a Maxwellian gas
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