TY - JOUR
T1 - Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force
AU - Kozono, Hideo
AU - Mashiko, Yuki
AU - Takada, Ryo
N1 - Funding Information:
The third author was partly supported by JSPS Research Fellowships for Young Scientists.
PY - 2014/9
Y1 - 2014/9
N2 - We consider the time-periodic problem for the Navier-Stokes equations in the rotational framework. We prove the unique existence of time-periodic solutions for the prescribed external force. Furthermore, we also show the asymptotic stability of small time-periodic solutions provided the initial disturbance is sufficiently small.
AB - We consider the time-periodic problem for the Navier-Stokes equations in the rotational framework. We prove the unique existence of time-periodic solutions for the prescribed external force. Furthermore, we also show the asymptotic stability of small time-periodic solutions provided the initial disturbance is sufficiently small.
UR - http://www.scopus.com/inward/record.url?scp=84896589568&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84896589568&partnerID=8YFLogxK
U2 - 10.1007/s00028-014-0228-4
DO - 10.1007/s00028-014-0228-4
M3 - Article
AN - SCOPUS:84896589568
SN - 1424-3199
VL - 14
SP - 565
EP - 601
JO - Journal of Evolution Equations
JF - Journal of Evolution Equations
IS - 3
ER -