Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We show that the weak-L2 limit of a sequence of solutions of the two dimensional incompressible Euler equation is still a solution, provided that a (strong) concentration set for the reduced defect measure has locally finite one dimensional Hausdorff measure in space and time.

Original languageEnglish (US)
Pages (from-to)581-594
Number of pages14
JournalCommunications In Mathematical Physics
Volume135
Issue number3
DOIs
StatePublished - Jan 1 1991

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Incompressible Euler Equations
Weak Limit
Hausdorff Measure
incompressible fluids
Incompressible Flow
Cancellation
Incompressible Fluid
cancellation
Velocity Field
fluid flow
Fluid Flow
Defects
velocity distribution
defects

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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title = "Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows",
abstract = "We show that the weak-L2 limit of a sequence of solutions of the two dimensional incompressible Euler equation is still a solution, provided that a (strong) concentration set for the reduced defect measure has locally finite one dimensional Hausdorff measure in space and time.",
author = "Yuxi Zheng",
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Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows. / Zheng, Yuxi.

In: Communications In Mathematical Physics, Vol. 135, No. 3, 01.01.1991, p. 581-594.

Research output: Contribution to journalArticle

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