Vanishing angular singularity limit to the hard-sphere Boltzmann equation

DOI10.1007/S10955-023-03089-4OpenAlexW4360980086MaRDI QIDQ2694782

Alessia Nota, Jin Woo Jang, Bernhard Kepka, Juan J. L. Velazquez

Publication date: 4 April 2023

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

Full work available at URL: https://arxiv.org/abs/2209.14075

zbMATH Keywords

Boltzmann equationnon angular cut-offcollisional cross-sectionnonlocal fractional diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Fractional derivatives and integrals (26A33) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Fractional partial differential equations (35R11) Boltzmann equations (35Q20)

Cites Work

• From Newton to Boltzmann: hard spheres and short-range potentials
• The Boltzmann equation and its applications
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• On the spatially homogeneous Boltzmann equation
• An example of nonuniqueness for solutions to the homogeneous Boltzmann equation
• Solutions with increasing energy for the spatially homogeneous Boltzmann equation
• On the Boltzmann equation. I: Existence
• On the Boltzmann equation. II: The full initial value problem
• Unnamed Item

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