ON THE SOLVABILITY AND ASYMPTOTICS OF THE BOLTZMANN-EQUATION IN IRREGULAR DOMAINS

Authors
ARKERYD L HEINTZ A
Citation
L. Arkeryd et A. Heintz, ON THE SOLVABILITY AND ASYMPTOTICS OF THE BOLTZMANN-EQUATION IN IRREGULAR DOMAINS, Communications in partial differential equations, 22(11-12), 1997, pp. 2129-2152
Citations number
21
Journal title
Communications in partial differential equations → ACNP
ISSN journal
03605302
Volume
22
Issue
11-12
Year of publication
1997
Pages
2129 - 2152
Database
ISI
SICI code
0360-5302(1997)22:11-12<2129:OTSAAO>2.0.ZU;2-K
Abstract
The paper considers the Boltzmann equation in irregular domains with f inite Hausdorff measure of the boundary and a cone condition. The boun dary interaction is of diffuse reflection type with constant temperatu re on the boundary. The main results obtained are existence in a DiPer na-Lions style, and strong convergence to equilibrium in L-1 when time tends to infinity, for the Boltzmann equation with Maxwellian boundar y conditions in a bounded measure sense.