Maximal energy isolated vortices in a uniform shear flow

Yonghui Weng, Mu Mu

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The existence of the isolated vortex on every isovortical surface under the condition that the vorticity anomaly everywhere has the same sign as the external shear flow is obtained. Moveover, the isolated vortex attains the maximal energy on every isovortical surface and therefore is formally stable. The condition that the vorticity anomaly has a positive lower bound, 0<qmin≤q in the case of S>0, which is a very strong restriction to the vorticity anomaly is removed. It is easy to see that the more concentrated upon the center, the greater is S2, while the more narrow it is along the x2 direction, the greater is S1.

Original languageEnglish (US)
Pages (from-to)123-135
Number of pages13
JournalNonlinear Analysis, Theory, Methods and Applications
Volume38
Issue number1
DOIs
StatePublished - Jan 1 1999

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Shear flow
Shear Flow
Vorticity
Anomaly
Vortex
Vortex flow
Energy
Lower bound
Restriction

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Maximal energy isolated vortices in a uniform shear flow. / Weng, Yonghui; Mu, Mu.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 38, No. 1, 01.01.1999, p. 123-135.

Research output: Contribution to journalArticle

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