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Article: Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method

TitleBlow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method
Authors
Li, DongSinai, Ya G.
KeywordsFixed point
Hermite polynomials
Linearization near a fixed point
Navier-Stokes system
Renormalization group theory
Spectrum of the linearized group
Issue Date2008
Citation
Journal of the European Mathematical Society, 2008, v. 10, n. 2, p. 267-313 How to Cite?
DOI: http://dx.doi.org/10.4171/JEMS/111
AbstractWe consider complex-valued solutions of the three-dimensional Navier-Stokes system without external forcing on ℝ3. We show that there exists an open set in the space of 10-parameter families of initial conditions such that for each family from this set there are values of parameters for which the solution develops blow up in finite time. © European Mathematical Society 2008.
Persistent Identifierhttp://hdl.handle.net/10722/326743
ISSN
1435-9855
2023 Impact Factor: 2.5
2023 SCImago Journal Rankings: 3.251

 

DC FieldValueLanguage
dc.contributor.authorLi, Dong-
dc.contributor.authorSinai, Ya G.-
dc.date.accessioned2023-03-31T05:26:12Z-
dc.date.available2023-03-31T05:26:12Z-
dc.date.issued2008-
dc.identifier.citationJournal of the European Mathematical Society, 2008, v. 10, n. 2, p. 267-313-
dc.identifier.issn1435-9855-
dc.identifier.urihttp://hdl.handle.net/10722/326743-
dc.description.abstractWe consider complex-valued solutions of the three-dimensional Navier-Stokes system without external forcing on ℝ3. We show that there exists an open set in the space of 10-parameter families of initial conditions such that for each family from this set there are values of parameters for which the solution develops blow up in finite time. © European Mathematical Society 2008.-
dc.languageeng-
dc.relation.ispartofJournal of the European Mathematical Society-
dc.subjectFixed point-
dc.subjectHermite polynomials-
dc.subjectLinearization near a fixed point-
dc.subjectNavier-Stokes system-
dc.subjectRenormalization group theory-
dc.subjectSpectrum of the linearized group-
dc.titleBlow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.4171/JEMS/111-
dc.identifier.scopuseid_2-s2.0-43649095493-
dc.identifier.volume10-
dc.identifier.issue2-
dc.identifier.spage267-
dc.identifier.epage313-

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