Remarks on a Liouville-type theorem for Beltrami flows

Dongho Chae, Peter Constantin

Research output: Contribution to journalArticle

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Abstract

We present a simple, short, and elementary proof that if ν is a Beltrami flow with a finite energy in ℝ3, then ν =0. In the case of the Beltrami flows satisfying ν ∈ L loc (ℝ3) ∩ Lq(ℝ3) with q ∈ [2, 3), or |ν(x)| = O(1/|x|1+ε) for some ε >0, we provide a different, simple proof that ν =0.

Original languageEnglish (US)
Pages (from-to)10012-10016
Number of pages5
JournalInternational Mathematics Research Notices
Volume2015
Issue number20
DOIs
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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