Radially symmetric models of the Landau kinetic equation and high energy tails

DOI10.1007/s10955-022-03058-3zbMath1505.35283OpenAlexW4313656759MaRDI QIDQ2112246

Alexander V. Bobylev

Publication date: 9 January 2023

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-022-03058-3

zbMATH Keywords

distribution functionexponential momentspower momentsradially symmetryLandau kinetic equationMaxwellian tail

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Integro-partial differential equations (35R09) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

Cites Work

• On some properties of the Landau kinetic equation
• A non-local inequality and global existence
• Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules
• Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential
• Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
• The Boltzmann equation and its applications
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• Moment inequalities for the Boltzmann equation and applications to spatially homogneous problems
• From particle systems to the Landau equation: a consistency result
• Entropy dissipation estimates for the Landau equation in the Coulomb case and applications
• A Maxwellian lower bound for solutions to the Boltzmann equation
• Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity
• Fokker-Planck Equation for an Inverse-Square Force
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Partial Regularity in Time for the Space-Homogeneous Landau equation with Coulomb Potential
• On the growth of solutions of quasi‐linear parabolic equations
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