Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform

DOI10.1016/j.aim.2009.08.017zbMath1422.76157arXiv0812.3168OpenAlexW1974909579MaRDI QIDQ1047664

Emanuel Carneiro, Ricardo J. Alonso

Publication date: 5 January 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3168

zbMATH Keywords

Fourier transformBoltzmann equationradial symmetryYoung's inequality

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Integral operators (47G10) Boltzmann equations (35Q20)

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Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section ⋮ Convergence and Error Estimates for the Lagrangian-Based Conservative Spectral Method for Boltzmann Equations ⋮ De Giorgi argument for weighted \(L^2\cap L^{\infty}\) solutions to the non-cutoff Boltzmann equation ⋮ On the global existence of mild solutions to the Boltzmann equation for small data in \(L^D\) ⋮ Integrability Propagation for a Boltzmann System Describing Polyatomic Gas Mixtures ⋮ Sharp Regularizing Estimates for the Gain Term of the Boltzmann Collision Operator ⋮ Convolution inequalities for the Boltzmann collision operator ⋮ Convolution inequalities in Lorentz spaces

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