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

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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

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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