Abstract
Assuming some initial data u0∈Ḣ1/2(R3) lead to a singularity for the 3d Navier-Stokes equations, we show that there are also initial data with the minimal Ḣ1/2-norm which will produce a singularity.
Original language | English (US) |
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Pages (from-to) | 879-891 |
Number of pages | 13 |
Journal | Journal of Functional Analysis |
Volume | 260 |
Issue number | 3 |
DOIs | |
State | Published - Feb 15 2011 |
Bibliographical note
Funding Information:* Corresponding author. E-mail address: sverak@math.umn.edu (V. Šverák). 1 Supported in part by the Graduate School Dissertation Fellowship. 2 Supported in part by NSF Grant DMS-0800908.
Keywords
- Minimal data
- Navier-Stokes
- Singularities