Minimal initial data for potential Navier-Stokes singularities

W. Rusin; Vladimir Sverak

doi:10.1016/j.jfa.2010.09.009

Minimal initial data for potential Navier-Stokes singularities

W. Rusin
, Vladimir Sverak

School of Mathematics

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

Assuming some initial data u₀∈Ḣ^1/2(R³) lead to a singularity for the 3d Navier-Stokes equations, we show that there are also initial data with the minimal Ḣ^1/2-norm which will produce a singularity.

Original language	English (US)
Pages (from-to)	879-891
Number of pages	13
Journal	Journal of Functional Analysis
Volume	260
Issue number	3
DOIs	https://doi.org/10.1016/j.jfa.2010.09.009
State	Published - Feb 15 2011

Bibliographical note

Funding Information:
* Corresponding author. E-mail address: [email protected] (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

Publisher link

10.1016/j.jfa.2010.09.009

Find It

Find It at U of M Libraries

Cite this

@article{c52dd71733864262b48a2c7e3977b5c9,

title = "Minimal initial data for potential Navier-Stokes singularities",

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.",

keywords = "Minimal data, Navier-Stokes, Singularities",

author = "W. Rusin and Vladimir Sverak",

note = "Funding Information: * Corresponding author. E-mail address: [email protected] (V. {\v S}ver{\'a}k). 1 Supported in part by the Graduate School Dissertation Fellowship. 2 Supported in part by NSF Grant DMS-0800908.",

year = "2011",

month = feb,

day = "15",

doi = "10.1016/j.jfa.2010.09.009",

language = "English (US)",

volume = "260",

pages = "879--891",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "3",

}

TY - JOUR

T1 - Minimal initial data for potential Navier-Stokes singularities

AU - Rusin, W.

AU - Sverak, Vladimir

N1 - Funding Information: * Corresponding author. E-mail address: [email protected] (V. Šverák). 1 Supported in part by the Graduate School Dissertation Fellowship. 2 Supported in part by NSF Grant DMS-0800908.

PY - 2011/2/15

Y1 - 2011/2/15

N2 - 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.

AB - 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.

KW - Minimal data

KW - Navier-Stokes

KW - Singularities

UR - https://www.scopus.com/pages/publications/78349310776

UR - https://www.scopus.com/pages/publications/78349310776#tab=citedBy

U2 - 10.1016/j.jfa.2010.09.009

DO - 10.1016/j.jfa.2010.09.009

M3 - Article

AN - SCOPUS:78349310776

SN - 0022-1236

VL - 260

SP - 879

EP - 891

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 3

ER -

Minimal initial data for potential Navier-Stokes singularities

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this