Erratum to: The Space $${B^{-1}_{\infty, \infty}}$$ B ∞ , ∞ - 1 , Volumetric Sparseness, and 3D NSE

Erratum to: The Space $${B^{-1}_{\infty, \infty}}$$ B ∞ , ∞ - 1 , Volumetric... J. Math. Fluid Mech. 19 (2017), 525–527 2016 Springer International Publishing Journal of Mathematical 1422-6928/17/030525-3 DOI 10.1007/s00021-016-0295-0 Fluid Mechanics ERRATUM −1 Erratum to: The Space B , Volumetric Sparseness, and 3D NSE ∞,∞ Aseel Farhat, Zoran Gruji´ c and Keith Leitmeyer Erratum to: J. Math. Fluid Mech. DOI 10.1007/s00021-016-0288-z The proof of Lemma 3.3 presented in the paper contains an error. Here, we prove a slightly different form of the lemma that suffices for our purposes. In fact, this is exactly what is needed to prove the main result, Theorem 1.1. 1. The Correct Form of Lemma 3.3 The following lemma is a vector-valued, Besov space version of a scalar-valued, Sobolev space lemma in [2]. All the norms to appear in the statement of the lemma are ∞-type norms. Lemma 3.3. Let  ∈ (0, 1],r ∈ (0, 1] and u a vector-valued function in L . Then, for any pair λ, δ, λ ∈ (0, 1) and δ ∈ ( , 1), there exists an explicit constant c = c(λ, δ) such that if 1+λ u −ε ≤ c(λ, δ) r u , B ∞ ∞,∞ i,± then each of the six super-level sets A := x ∈ Journal of Mathematical Fluid Mechanics Springer Journals

Erratum to: The Space $${B^{-1}_{\infty, \infty}}$$ B ∞ , ∞ - 1 , Volumetric Sparseness, and 3D NSE

Loading next page...
Springer International Publishing
Copyright © 2016 by Springer International Publishing
Physics; Fluid- and Aerodynamics; Mathematical Methods in Physics; Classical and Continuum Physics
Publisher site
See Article on Publisher Site


You’re reading a free preview. Subscribe to read the entire article.

DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches


Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.



billed annually
Start Free Trial

14-day Free Trial