TY - JOUR
T1 - Pointwise convergence to a maxwellian for a broadwell model with a supersonic boundary
AU - Deng, Shijin
AU - Wang, Weike
AU - Yu, Shih-Hsien
PY - 2007/9
Y1 - 2007/9
N2 - In this paper, we consider an initial-boundary value problem for the Broadwell model with a supersonic physical boundary. By using the Green's function established in [6] and weighted energy estimates, we show that the solution converges pointwise to the equilibrium state when the perturbations are sufficiently small.
AB - In this paper, we consider an initial-boundary value problem for the Broadwell model with a supersonic physical boundary. By using the Green's function established in [6] and weighted energy estimates, we show that the solution converges pointwise to the equilibrium state when the perturbations are sufficiently small.
KW - Non-linear stability
KW - Pointwise estiamte
KW - The broadwell model
KW - The green's function
UR - http://www.scopus.com/inward/record.url?scp=53949111001&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-53949111001&origin=recordpage
U2 - 10.3934/nhm.2007.2.383
DO - 10.3934/nhm.2007.2.383
M3 - RGC 21 - Publication in refereed journal
AN - SCOPUS:53949111001
SN - 1556-1801
VL - 2
SP - 383
EP - 395
JO - Networks and Heterogeneous Media
JF - Networks and Heterogeneous Media
IS - 3
ER -