TY - JOUR
T1 - Remark on the stability of the large stationary solutions to the Navier-Stokes equations under the general flux condition
AU - Kanbayashi, Naoya
AU - Kozono, Hideo
AU - Okabe, Takahiro
PY - 2014/1/1
Y1 - 2014/1/1
N2 - Consider stationary weak solutions of the Navier-Stokes equations in a bounded domain in R3 under the nonhomogeneous boundary condition. We give a new approach for the stability of the stationary flow in the L2-framework. Furthermore, we give some examples of stable solutions which may be large in L3(Ω) or W1,3/2(Ω).
AB - Consider stationary weak solutions of the Navier-Stokes equations in a bounded domain in R3 under the nonhomogeneous boundary condition. We give a new approach for the stability of the stationary flow in the L2-framework. Furthermore, we give some examples of stable solutions which may be large in L3(Ω) or W1,3/2(Ω).
KW - Boundary value problem
KW - Navier-Stokes equations
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=84883465164&partnerID=8YFLogxK
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U2 - 10.1016/j.jmaa.2013.07.016
DO - 10.1016/j.jmaa.2013.07.016
M3 - Article
AN - SCOPUS:84883465164
SN - 0022-247X
VL - 409
SP - 378
EP - 392
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -