A refined estimate of the grazing limit from Boltzmann to Landau operator in Coulomb potential

DOI10.1016/j.aml.2019.106039zbMath1431.35098OpenAlexW2972294653MaRDI QIDQ2338268

Yu-Long Zhou

Publication date: 21 November 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106039

zbMATH Keywords

Coulomb potentialBoltzmann operatorLandau operatorgrazing limit

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of plasmas (82D10) Boltzmann equations (35Q20)

Related Items (3)

Boltzmann equation with cutoff Rutherford scattering cross section near Maxwellian ⋮ High order approximation for the Boltzmann equation without angular cutoff under moderately soft potentials ⋮ Solutions to the non-cutoff Boltzmann equation in the grazing limit

Cites Work

• Unnamed Item
• A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit
• The Boltzmann equation and its applications
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• On the Landau approximation in plasma physics.
• High order approximation for the Boltzmann equation without angular cutoff
• Asymptotic analysis of the spatially homogeneous Boltzmann equation: grazing collisions limit
• On asymptotics of the Boltzmann equation when the collisions become grazing
• THE FOKKER-PLANCK ASYMPTOTICS OF THE BOLTZMANN COLLISION OPERATOR IN THE COULOMB CASE
• Well-Posedness and Asymptotics of Grazing Collisions Limit of Boltzmann Equation with Coulomb Interaction

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