TY - JOUR
T1 - Global Small Analytic Solution of 3-D Anisotropic Navier-Stokes System
AU - Liu, Ning
AU - Zhang, Ping
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.
PY - 2024/12
Y1 - 2024/12
N2 - In this paper, we prove the global existence of analytic solution for 3D anisotropic Navier-Stokes system with initial data which is small and analytic in the vertical variable. We shall also prove that this solution will be analytic in the horizontal variables soon after t>0. Furthermore, we show that the ratio between the analytic radius, Rh(t), of the solution in the horizontal variables and t satisfies limt→0+Rh(t)t=∞.
AB - In this paper, we prove the global existence of analytic solution for 3D anisotropic Navier-Stokes system with initial data which is small and analytic in the vertical variable. We shall also prove that this solution will be analytic in the horizontal variables soon after t>0. Furthermore, we show that the ratio between the analytic radius, Rh(t), of the solution in the horizontal variables and t satisfies limt→0+Rh(t)t=∞.
UR - http://www.scopus.com/inward/record.url?scp=85208504666&partnerID=8YFLogxK
U2 - 10.1007/s00205-024-02051-2
DO - 10.1007/s00205-024-02051-2
M3 - Article
AN - SCOPUS:85208504666
SN - 0003-9527
VL - 248
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 6
M1 - 106
ER -