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Название: Existence and Uniqueness of Solutions for the Couette Problem
Автор: Ghomeshi S.
We study existence and uniqueness results for the one-dimensional Boltzmann equation with inﬂow and diffusive boundary conditions. Our focus, partly encompasses some of the properties of the Boltzmann collision gain term which play a signiﬁcant role in existence and uniqueness results. A series of estimates are proven on the collision term which is shown to produce a suitable function space in which the contraction mapping arguments are available