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Abstract：
This paper investigates the viscosity vanishing limit and the existence and uniqueness of the global strong solution on the three-dimensional incompressible Navier-Stokes equations without swirl in spherical coordinates. We establish the global existence and uniqueness of the smooth solution to the Cauchy problem for the three-dimensional incompressible Navier-Stokes equations for the any smooth large initial data without swirl in the sense of spherical coordinates. Also, by performing the viscosity vanishing limit for the global strong solution in time to the three-dimensional incompressible Navier-Stokes equations, we prove that there exists the unique and global strong solution to the Cauchy problem for the three-dimensional incompressible Euler equation without swirl in spherical coordinates with large initial data. (C) 2019 Elsevier Ltd. All rights reserved.
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APPLIED MATHEMATICS LETTERS
ISSN： 0893-9659
Year： 2020
Volume： 103
3 . 7 0 0
JCR@2022
ESI Discipline： MATHEMATICS;
ESI HC Threshold：46
Cited Count：
WoS CC Cited Count： 3
SCOPUS Cited Count： 3
ESI Highly Cited Papers on the List： 0 Unfold All
WanFang Cited Count：
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30 Days PV： 7
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