Some recent results on the Boltzmann equation near vacuum
Vol. 2 No. 2 (2007) P.221~P.234
In this paper, we will address some recent progress on the $L^1$-stability of the Boltzmann equation near vacuum. We discuss
a kinetic Glimm type interaction potential measuring the possible crossings of projected particle trajectories in physical space, and
a nonlinear functional equivalent to the $L^1$-distance between two classical solutions. These functionals are employed to establish the large-time behavior and $L^1$-stability of classical solutions.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
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Revised : 2005-04-08