Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

DOI10.1142/S0219530515500232zbMath1368.35202arXiv1506.06493OpenAlexW2963405545MaRDI QIDQ5267948

Tong Yang, Shuaikun Wang, Yoshinori Morimoto

Publication date: 13 June 2017

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06493

zbMATH Keywords

Boltzmann equationcharacteristic functionsmeasure-valued solutionmoment constraint

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Subelliptic equations (35H20) Boltzmann equations (35Q20) PDEs with measure (35R06)

Related Items (3)

Global solutions to an equation for mutation process in bacteria and its preservation of positive supports ⋮ Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff ⋮ Probability Measures with Finite Moments and the Homogeneous Boltzmann Equation

Cites Work

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• Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
• On the spatially homogeneous Boltzmann equation
• Entropy dissipation and long-range interactions
• Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation.
• Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas
• A remark on Cannone-Karch solutions to the homogeneous Boltzmann equation for Maxwellian molecules
• A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation
• Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum
• Infinite energy solutions to the homogeneous Boltzmann equation

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