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On the Existence and Regularity for the Stationary Linearized Boltzmann Equation in a Small Domain

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If you have a question about this talk, please contact Dr Greg Taujanskas .

We consider the incoming boundary value problem for the stationary linearized Boltzmann equation in a bounded domain with C^2 boundary of positive Gaussian curvature. We prove the existence and regularity of solutions under assumptions that the boundary data is good enough and the domain is small enough. This is based on a joint work with Ping-Han Chuang, Chun-Hsiung Hsia, and Jhe-Kuan Su.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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