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On recent developments on the Green's function for the Boltzmann
equation and its application to nonlinear problems
Shih-Hsien Yu
Department of Mathematics
Hong Kong University
Abstract
In this talk we will survey the development of the Green's
function for the Boltzmann equation. The talk will include
the motivation from the field of hyperbolic conservation
laws, the connection between the Boltzmann equation and the
hyperbolic conservation laws, and the particle-like and the
wave-like duality in the Boltzmann equation. With all these
components one can realize a clear layout of the Green's
function for the Boltzmann equation. Finally we will present
the application of the Green's function to an
initial-boundary value problem in the half space domain.
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