On the solvability and asymptotics of the Boltzmann equation in irregular domains.

Artikel i vetenskaplig tidskrift, 1997

The paper considers the Boltzmann equation in irregular domains with finite Hausdorff measure of the boundary and a cone condition. The boundary interaction is of diffuse reflection type with constanc temperature on the boundary. The main results obtained are existence in a DiPerna—Lions style, and strong convergence to equilibrium in L1 when time tends to infinity, for the Boltzmann equation with Maxwellian boundary conditions in a bounded measure sense.