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作者:

Wang, Shu (Wang, Shu.) (学者:王术)

收录:

EI SCIE

摘要:

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.

关键词:

Euler equations Global smooth solution Navier-Stokes equations Spherical coordinates Three-dimensional incompressible Viscosity vanishing limit

作者机构:

  • [ 1 ] [Wang, Shu]Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
  • [ 2 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • 王术

    [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

APPLIED MATHEMATICS LETTERS

ISSN: 0893-9659

年份: 2020

卷: 103

3 . 7 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:15

JCR分区:1

被引次数:

WoS核心集被引频次: 3

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

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