TY - JOUR
T1 - Two-dimensional stationary Navier–Stokes equations with 4-cyclic symmetry
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 in Tokyo and the University of Tokyo, and by Grant-in-Aid for Scientific Research (C) 25400185, Ministry of Education, Culture, Sports, Science and Technology, Japan.
Publisher Copyright:
© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
PY - 2016/12/1
Y1 - 2016/12/1
N2 - This paper is concerned with the stationary Navier–Stokes equation in the whole plane and in the two–dimensional exterior domain invariant under the action of the cyclic group of order 4, and gives a condition on the potentials yielding the external force, and on the boundary value, sufficient for the unique existence of a small solution equivariant with respect to the aforementioned cyclic group.
AB - This paper is concerned with the stationary Navier–Stokes equation in the whole plane and in the two–dimensional exterior domain invariant under the action of the cyclic group of order 4, and gives a condition on the potentials yielding the external force, and on the boundary value, sufficient for the unique existence of a small solution equivariant with respect to the aforementioned cyclic group.
KW - Navier–Stokes equations
KW - asymptotic profile
KW - exterior problem
KW - stationary solutions
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U2 - 10.1002/mana.201500332
DO - 10.1002/mana.201500332
M3 - Article
AN - SCOPUS:84963877465
SN - 0025-584X
VL - 289
SP - 2281
EP - 2311
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
IS - 17-18
ER -