The specular reflective boundary problem for the Boltzmann equation with soft potentials
Journal article, Peer reviewed
Accepted version
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http://hdl.handle.net/11250/2474481Utgivelsesdato
2012Metadata
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Sammendrag
In this paper, we consider the specular reflective boundary problem for the onedimensional Boltzmann equation with soft potentials. It is shown that the solution converges to a global Maxwellian M+ under certain initial conditions. In order to prove this, we construct a local Maxwellian M¯ which is very close to M+ as an ansatz of M and obtain the stability of M¯ . Our proof is based on elementary energy estimates and detailed properties of Burnett functions.