2007 / June Volume 2 No.2
Some recent results on the Boltzmann equation near vacuum
| Published Date |
2007 / June
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|---|---|
| Title | Some recent results on the Boltzmann equation near vacuum |
| Author | |
| Download | |
| Pagination | 221-234 |
| Abstract | 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.
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| Received |
2005-04-08
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