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.
Bibliographical noteFunding Information:
* Corresponding author. E-mail address: email@example.com (V. Šverák). 1 Supported in part by the Graduate School Dissertation Fellowship. 2 Supported in part by NSF Grant DMS-0800908.
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