A new regularization mechanism for the Boltzmann equation without\n cut-off

2014/12/15 by Luís Silvestre, Silvestre, Luis · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1412.4706

openalex publication_date 2014/12/15 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We apply recent results on regularity for general integro-differential\nequations to derive a priori estimates in H "older spaces for the space\nhomogeneous Boltzmann equation in the non cut-off case. We also show an a\npriori estimate in L^\∞ which applies in the space inhomogeneous case as\nwell, provided that the macroscopic quantities remain bounded.\n

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