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Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain. (English) Zbl 0982.45006

Decay of solutions to the mixed problem with a perfectly reflective boundary condition for the linearized Boltzmann equation with an external-force potential in a polyhedral bounded domain is studied without assumption that the domain is convex. For this linearized Boltzmann equation the authors prove that the solutions of the mixed problem decay exponentially in time.

MSC:

45K05 Integro-partial differential equations
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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References:

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