On some properties of linear and linearized Boltzmann collision operators for hard spheres

A. V. Bobylev; E. Mossberg

doi:10.3934/krm.2008.1.521

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2008, Volume 1, Issue 4: 521-555. Doi: 10.3934/krm.2008.1.521

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On some properties of linear and linearized Boltzmann collision operators for hard spheres

A. V. Bobylev^1, and
E. Mossberg^1,

1.
Department of Mathematics, Karlstad University, SE-65188 Karlstad

Received: July 31, 2008

Revised: August 31, 2008

Published: October 2008

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Abstract

The linear and the linearized Boltzmann collision operators for hard spheres are studied by a method based on reduction of integral equations to differential equations. We use this approach (in combination with numerical methods) to study the eigenvalues of the operators. We also use the differential equations to investigate large energy asymptotics of solutions to linear integral equations related to the Chapman-Enskog expansion.

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Mathematics Subject Classification: 82C40, 35P15, 35B40.

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