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Some recent results on the Boltzmann equation near vacuum
by Seung-Yeal Ha

Vol. 2 No. 2 (2007) P.221~P.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.

KEYWORDS

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary:

MILESTONES