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作者:

Jiu, Quansen (Jiu, Quansen.) | Liu, Jitao (Liu, Jitao.) (学者:刘继涛) | Niu, Dongjuan (Niu, Dongjuan.)

收录:

EI Scopus SCIE

摘要:

In this paper, we consider solutions to the incompressible axisymmetric Euler equations without swirl. The main result is to prove the global existence of weak solutions if the initial vorticity w(0)(theta ) satisfies that w(0)(theta/)r is an element of L-1 boolean AND L-p(R-3) for some p > 1. It is not required that the initial energy is finite, that is, the initial velocity u(0) belongs to L-2(R-3) here. We construct the approximate solutions by regularizing the initial data and show that the concentrations of energy do not occur in this case. The key ingredient in the proof lies in establishing the L-loc(2+alpha)(R-3) estimates of velocity fields for some alpha > 0, which is new to the best of our knowledge.

关键词:

Euler equations Global weak solutions Axisymmetric

作者机构:

  • [ 1 ] [Jiu, Quansen]Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
  • [ 2 ] [Niu, Dongjuan]Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
  • [ 3 ] [Liu, Jitao]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • 刘继涛

    [Liu, Jitao]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

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来源 :

JOURNAL OF NONLINEAR SCIENCE

ISSN: 0938-8974

年份: 2021

期: 2

卷: 31

3 . 0 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:31

JCR分区:1

被引次数:

WoS核心集被引频次: 5

SCOPUS被引频次: 6

ESI高被引论文在榜: 0 展开所有

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