The exponential decay of global solutions to the generalized Landau equation near Maxwellians

DOI10.1090/S0033-569X-06-00968-4zbMath1110.35092OpenAlexW1971845422MaRDI QIDQ3429095

Hongjun Yu

Publication date: 30 March 2007

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-06-00968-4

zbMATH Keywords

energy estimatesBoltzmann equationexponential decayglobal classical solutiongeneralized Landau collision operator

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (3)

Cauchy problem and exponential stability for the inhomogeneous Landau equation ⋮ Estimates for the large time behavior of the Landau equation in the Coulomb case ⋮ Small Knudsen rate of convergence to rarefaction wave for the Landau equation

Cites Work

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• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• Dispersion relations for the linearized Fokker-Planck equation
• The Vlasov-Maxwell-Boltzmann system near Maxwellians
• Classical solutions to the Boltzmann equation for molecules with an angular cutoff
• On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.
• The Landau equation in a periodic box
• On Some Properties of Min-Max Functions
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians
• 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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