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Article: Complex Singular Solutions of the 3-d Navier–Stokes Equations and Related Real Solutions

TitleComplex Singular Solutions of the 3-d Navier–Stokes Equations and Related Real Solutions
Authors
Boldrighini, CarloLi, DongSinai, Yakov G.
KeywordsBlow-up
Global regularity
Navier–Stokes equations
Issue Date2017
Citation
Journal of Statistical Physics, 2017, v. 167, n. 1 How to Cite?
DOI: http://dx.doi.org/10.1007/s10955-017-1730-1
AbstractBy applying methods of statistical physics Li and Sinai (J Eur Math Soc 10:267–313, 2008) proved that there are complex solutions of the Navier–Stokes equations in the whole space R3 which blow up at a finite time. We present a review of the results obtained so far, by theoretical work and computer simulations, for the singular complex solutions, and compare with the behavior of related real solutions. We also discuss the possible application of the techniques introduced in (J Eur Math Soc 10:267–313, 2008) to the study of the real ones.
Persistent Identifierhttp://hdl.handle.net/10722/327131
ISSN
0022-4715
2023 Impact Factor: 1.3
2023 SCImago Journal Rankings: 0.798
ISI Accession Number ID
WOS:000396055600001

 

DC FieldValueLanguage
dc.contributor.authorBoldrighini, Carlo-
dc.contributor.authorLi, Dong-
dc.contributor.authorSinai, Yakov G.-
dc.date.accessioned2023-03-31T05:29:01Z-
dc.date.available2023-03-31T05:29:01Z-
dc.date.issued2017-
dc.identifier.citationJournal of Statistical Physics, 2017, v. 167, n. 1-
dc.identifier.issn0022-4715-
dc.identifier.urihttp://hdl.handle.net/10722/327131-
dc.description.abstractBy applying methods of statistical physics Li and Sinai (J Eur Math Soc 10:267–313, 2008) proved that there are complex solutions of the Navier–Stokes equations in the whole space R3 which blow up at a finite time. We present a review of the results obtained so far, by theoretical work and computer simulations, for the singular complex solutions, and compare with the behavior of related real solutions. We also discuss the possible application of the techniques introduced in (J Eur Math Soc 10:267–313, 2008) to the study of the real ones.-
dc.languageeng-
dc.relation.ispartofJournal of Statistical Physics-
dc.subjectBlow-up-
dc.subjectGlobal regularity-
dc.subjectNavier–Stokes equations-
dc.titleComplex Singular Solutions of the 3-d Navier–Stokes Equations and Related Real Solutions-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s10955-017-1730-1-
dc.identifier.scopuseid_2-s2.0-85011636475-
dc.identifier.volume167-
dc.identifier.issue1-
dc.identifier.isiWOS:000396055600001-

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