DECREASE OF THE FISHER INFORMATION FOR SOLUTIONS OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION WITH MAXWELLIAN MOLECULES

DOI10.1142/S0218202500000100zbMath1010.82023MaRDI QIDQ4798786

Cédric Villani

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

spatially homogeneous Landau equationFisher's quantity of information

Mathematics Subject Classification ID

Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (7)

Geometric algebra and information geometry for quantum computational software ⋮ Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules ⋮ Information geometric aspects of probability paths with minimum entropy production for quantum state evolution ⋮ Uniform estimates for the Fisher information of the Landau equation for soft potentials ⋮ The Landau equation with the specular reflection boundary condition ⋮ On Kac's chaos and related problems ⋮ Fisher information and nonlinear dynamics

Cites Work

• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions
• New a priori estimates for the spatially homogeneous Boltzmann equation
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• Fisher information estimates for Boltzmann's collision operator
• Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation
• ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES
• Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation

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