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A boundary value problem for the two dimensional Broadwell model

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Abstract

It is shown that a certain boundary value problem for the steady two-dimensional Broadwell model on a rectangle has a solution. The boundary conditions specify the ingoing particle densities on each side of the rectangle.

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Communicated by J. L. Lebowitz

Research supported by the Natural Science and Engineering Research Council Canada under Grants A7847 and A8560

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Cercignani, C., Illner, R. & Shinbrot, M. A boundary value problem for the two dimensional Broadwell model. Commun.Math. Phys. 114, 687–698 (1988). https://doi.org/10.1007/BF01229460

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