Absence of proper nondegenerate generalized self-similar singularities

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We present a general covariance property and use it to prove that proper nondegenerate self-similar blow-up is not possible for active scalar equations.

Original languageEnglish (US)
Pages (from-to)777-786
Number of pages10
JournalJournal of Statistical Physics
Issue number3-4
StatePublished - Nov 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Active scalars
  • Blow-up
  • Euler equations
  • Self-similar

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