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Existence and Uniqueness in the Large for Boundary Value Problems in Kinetic Theory
Carlo Cercignani
Source abstract
The boundary-value problem for the linearized Boltzmann equation is shown to have a unique solution for a bounded domain (two walls separated by an arbitrary distance). The proof applies to a general class of models with finite collision frequency and appears to be easily extendible to similar problems in two and three dimensions. It differs essentially from previously known proofs because no limitations are put on the distance between the walls.
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