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International Mathematics Research Notices (2000) 2000:625-641, doi:10.1155/S1073792800000349
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

On the stationary Boltzmann equation in Formula

Leif Arkeryd

The paper contains an existence result for solutions to the stationary, nonlinear Boltzmann equation for soft and hard forces in Formula when the indata are given on the boundary, and the collision operator is truncated for small velocities. A sketch of the proof is provided. It is based on new splitting ideas for the local analysis of the equation using entropy dissipation control together with nonstandard techniques.


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