2012 Young Researchers Workshop:
Kinetic Description of Multiscale Phenomena

Bifurcation on boundary data for linear Broadwell model with conservative boundary

Shijin Deng

Shanghai Jiao Tong University


In this paper we study a simple kinetic model with a conservative boundary condition resemble to the Maxwell diffuse boundary condition for the Boltzmann equation. We have used a streamlined approach to construct the global pointwise structure of the full boundary data from the imposed boundary condition; and the estimates are stronger enough to conclude the bifurcation in terms of the coefficients of the Broadwell model and speed of the physical boundary.