On global weak solutions to the Cauchy problem for the Navier–Stokes equations with large L3-initial data

G. Seregin; V. Šverák

doi:10.1016/j.na.2016.01.018

On global weak solutions to the Cauchy problem for the Navier–Stokes equations with large L₃-initial data

G. Seregin, V. Šverák

Mathematics

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

19 Scopus citations

Abstract

The aim of the note is to discuss different definitions of solutions to the Cauchy problem for the Navier–Stokes equations with the initial data belonging to the Lebesgue space L₃(R³)

Original language	English (US)
Pages (from-to)	269-296
Number of pages	28
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	154
DOIs	https://doi.org/10.1016/j.na.2016.01.018
State	Published - May 1 2017

Bibliographical note

Funding Information:
The paper is supported in parts by RFBR project 14-01-00306. The second author’s research was supported in part by grants DMS 1362467 and DMS 1159376 from the National Science Foundation .

Keywords

Global solvability
Navier–Stokes equations

Access

10.1016/j.na.2016.01.018

Fingerprint Dive into the research topics of 'On global weak solutions to the Cauchy problem for the Navier–Stokes equations with large L<sub>3</sub>-initial data'. Together they form a unique fingerprint.

Cite this

@article{af42e38c35cc4da0b24fca205a16ef31,

title = "On global weak solutions to the Cauchy problem for the Navier–Stokes equations with large L3-initial data",

abstract = "The aim of the note is to discuss different definitions of solutions to the Cauchy problem for the Navier–Stokes equations with the initial data belonging to the Lebesgue space L3(R3)",

keywords = "Global solvability, Navier–Stokes equations",

author = "G. Seregin and V. {\v S}ver{\'a}k",

note = "Funding Information: The paper is supported in parts by RFBR project 14-01-00306. The second author{\textquoteright}s research was supported in part by grants DMS 1362467 and DMS 1159376 from the National Science Foundation . ",

year = "2017",

month = may,

day = "1",

doi = "10.1016/j.na.2016.01.018",

language = "English (US)",

volume = "154",

pages = "269--296",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - On global weak solutions to the Cauchy problem for the Navier–Stokes equations with large L3-initial data

AU - Seregin, G.

AU - Šverák, V.

N1 - Funding Information: The paper is supported in parts by RFBR project 14-01-00306. The second author’s research was supported in part by grants DMS 1362467 and DMS 1159376 from the National Science Foundation .

PY - 2017/5/1

Y1 - 2017/5/1

N2 - The aim of the note is to discuss different definitions of solutions to the Cauchy problem for the Navier–Stokes equations with the initial data belonging to the Lebesgue space L3(R3)

AB - The aim of the note is to discuss different definitions of solutions to the Cauchy problem for the Navier–Stokes equations with the initial data belonging to the Lebesgue space L3(R3)

KW - Global solvability

KW - Navier–Stokes equations

UR - http://www.scopus.com/inward/record.url?scp=84959420614&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959420614&partnerID=8YFLogxK

U2 - 10.1016/j.na.2016.01.018

DO - 10.1016/j.na.2016.01.018

M3 - Article

AN - SCOPUS:84959420614

VL - 154

SP - 269

EP - 296

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

ER -