Entropy Dissipation Estimates for the Landau Equation: General Cross Sections

DOI10.1007/978-3-319-32144-8_6zbMath1351.35206OpenAlexW2506494006MaRDI QIDQ2832853

Laurent Desvillettes

Publication date: 15 November 2016

Published in: From Particle Systems to Partial Differential Equations III (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32144-8_6

zbMATH Keywords

Landau equationentropy dissipationLandau operator

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60)

Related Items (11)

Boltzmann to Landau from the gradient flow perspective ⋮ About the Landau-Fermi-Dirac equation with moderately soft potentials ⋮ Entropy dissipation estimates for the relativistic Landau equation, and applications ⋮ Gaussian Bounds for the Inhomogeneous Landau Equation with Hard Potentials ⋮ A particle method for the homogeneous Landau equation ⋮ Uniform estimates for the Fisher information of the Landau equation for soft potentials ⋮ Estimates for the large time behavior of the Landau equation in the Coulomb case ⋮ About the use of entropy production for the Landau-Fermi-Dirac equation ⋮ Rigorous study of the equilibria of collision kernels appearing in the theory of weak turbulence ⋮ Uniqueness of bounded solutions for the homogeneous relativistic Landau equation with Coulomb interactions ⋮ Local conditional regularity for the Landau equation with Coulomb potential

Cites Work

• Unnamed Item
• Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff
• Estimates for the large time behavior of the Landau equation in the Coulomb case
• Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production
• Celebrating Cercignani's conjecture for the Boltzmann equation
• Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff
• Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation without cut-off
• Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation
• Entropy dissipation rate and convergence in kinetic equations
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• On the Landau approximation in plasma physics.
• Entropy dissipation and long-range interactions
• On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.
• Entropy production estimates for Boltzmann equations with physically realistic collision kernels
• From particle systems to the Landau equation: a consistency result
• Global in time estimates for the spatially homogeneous Landau equation with soft potentials
• Entropy dissipation estimates for the Landau equation in the Coulomb case and applications
• Global classical solutions of the Boltzmann equation without angular cut-off
• Global classical solutions of the Boltzmann equation with long-range interactions
• On asymptotics of the Boltzmann equation when the collisions become grazing
• Sur le taux de dissipation d'entropie sans troncature angulaire
• Régularité et compacité pour des noyaux de collision de Boltzmann sans troncature angulaire
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
• On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications

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