ncku-talk2013-12-05

NCTS(South)/ NCKU Math Colloquium

DATE 2013-12-05　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER 陳逸昆教授（國立台灣大學數學系）

TITLE Boundary Singularity of Moments for the Linearized Boltzmann Equation

ABSTRACT We study the boundary singularity for stationary solutions of the linearized Boltzmann equation with hard-sphere potential. An asymptotic estimate for the gradient of the moments is established, which shows the logarithmic singularity near the boundary. Our formula holds for the solutions of the Milne and Kramers problems obtained by Bardos-Caflish-Nicolaenko, 1986. Our theorem requires the Holder continuity of the boundary data. In particular, it applies to the complete condensation problem for half space.

NCTS(South)/ NCKU Math Colloquium

DATE	2013-12-05　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	陳逸昆教授（國立台灣大學數學系）

TITLE	Boundary Singularity of Moments for the Linearized Boltzmann Equation

ABSTRACT	We study the boundary singularity for stationary solutions of the linearized Boltzmann equation with hard-sphere potential. An asymptotic estimate for the gradient of the moments is established, which shows the logarithmic singularity near the boundary. Our formula holds for the solutions of the Milne and Kramers problems obtained by Bardos-Caflish-Nicolaenko, 1986. Our theorem requires the Holder continuity of the boundary data. In particular, it applies to the complete condensation problem for half space.