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December  2008, 1(4): 521-555. doi: 10.3934/krm.2008.1.521

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, Sweden, Sweden

Received  August 2008 Revised  September 2008 Published  October 2008

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.
Keywords: Boltzmann equation, hard spheres model, eigenvalues.
Mathematics Subject Classification: 82C40, 35P15, 35B40.
Citation: A. V. Bobylev, E. Mossberg. On some properties of linear and linearized Boltzmann collision operators for hard spheres. Kinetic and Related Models, 2008, 1 (4) : 521-555. doi: 10.3934/krm.2008.1.521
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