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Global solution of the Boltzmann equation for rigid spheres and initial data close to a local Maxwellian

A. Palczewski, G. Toscani

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Source: Crossref

Published: Oct 1, 1989

DOI: 10.1063/1.528522

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Source abstract

In this paper, which is an extension of the previous paper of one of the authors [Arch. Rat. Mech. Anal. 102, 231 (1988)], a global existence theorem is presented for the Boltzmann equation for initial data close to a local Maxwellian of a special type. Contrary to the previous result, the global existence is proved for rigid spheres and ‘‘hard’’ potentials with angular cutoff.

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