TY - JOUR
T1 - Convergence rate for the compressible Navier-Strokes equations with external force
AU - Ukai, Seiji
AU - Yang, Tong
AU - Zhao, Huijiang
PY - 2006/9
Y1 - 2006/9
N2 - For the compressible Navier-Stokes equations with a stationary potential force, the stability of the stationary solutions was studied by Matsumura and Nishida. The convergence rate to the stationary solutions in time was later studied by Deckelnick which was improved by Shibata and Tanaka for more general external forces. This paper deals with the case for the stationary potential force under some smallness condition, to establish an almost optimal convergence rate in L2 (ℝN) -norm for N ≥ 3. © 2006 World Scientific Publishing Company.
AB - For the compressible Navier-Stokes equations with a stationary potential force, the stability of the stationary solutions was studied by Matsumura and Nishida. The convergence rate to the stationary solutions in time was later studied by Deckelnick which was improved by Shibata and Tanaka for more general external forces. This paper deals with the case for the stationary potential force under some smallness condition, to establish an almost optimal convergence rate in L2 (ℝN) -norm for N ≥ 3. © 2006 World Scientific Publishing Company.
KW - Convergence rate
KW - Energy methods
KW - Navier-Stokes equations
KW - Spectrum estimate
UR - http://www.scopus.com/inward/record.url?scp=34247346836&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-34247346836&origin=recordpage
U2 - 10.1142/S0219891606000902
DO - 10.1142/S0219891606000902
M3 - RGC 21 - Publication in refereed journal
SN - 0219-8916
VL - 3
SP - 561
EP - 574
JO - Journal of Hyperbolic Differential Equations
JF - Journal of Hyperbolic Differential Equations
IS - 3
ER -
