TY - JOUR
T1 - The Navier–Stokes equations on the plane with time-dependent external forces
AU - Yamazaki, Masao
N1 - Funding Information:
Partly supported by the International Research Training Group (IGK 1529) on Mathematical Fluid Dynamics funded by DFG and JSPS and associated with TU Darmstadt, Waseda University and the University of Tokyo, and by Grant-in-Aid for Scientific Research (C) 17K05339, Ministry of Education, Culture, Sports, Science and Technology, Japan.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/8
Y1 - 2021/8
N2 - We are concerned with the non-stationary Navier–Stokes equations on the whole plane with external forces which are non-decaying in time, and give a sufficient condition on the external forces for the existence of a solution which exists for whole time. Typical examples are time-periodic solutions and solutions almost periodic in time. The stability under perturbation is also verified.
AB - We are concerned with the non-stationary Navier–Stokes equations on the whole plane with external forces which are non-decaying in time, and give a sufficient condition on the external forces for the existence of a solution which exists for whole time. Typical examples are time-periodic solutions and solutions almost periodic in time. The stability under perturbation is also verified.
KW - Almost periodic function
KW - Navier–Stokes equation
KW - Time-periodic function
KW - Weighted Lorentz spaces
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U2 - 10.1007/s42985-021-00107-6
DO - 10.1007/s42985-021-00107-6
M3 - Article
AN - SCOPUS:85126304218
SN - 2662-2963
VL - 2
JO - Partial Differential Equations and Applications
JF - Partial Differential Equations and Applications
IS - 4
M1 - 54
ER -