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Article: Blowups of complex-valued solutions for some hydrodynamic models

TitleBlowups of complex-valued solutions for some hydrodynamic models
Authors
Li, D.Sinai, Ya G.
Keywordsblowup
renormalization group method
Issue Date2010
Citation
Regular and Chaotic Dynamics, 2010, v. 15, n. 4, p. 521-531 How to Cite?
DOI: http://dx.doi.org/10.1134/S1560354710040088
AbstractWe study complex-valued blowups of solutions for several hydrodynamic models. For complex-valued initial conditions, smooth local solutions can have finite-time singularities since the energy inequality does not hold. By using some version of the renormalization group method, we derive the equations for corresponding fixed points and analyze the spectrum of the linearized operator. We describe the open set of initial conditions for which blowups at finite time can occur. © 2010 Pleiades Publishing, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/326616
ISSN
1560-3547
2023 Impact Factor: 0.8
2023 SCImago Journal Rankings: 0.384
ISI Accession Number ID
WOS:000286401200008

 

DC FieldValueLanguage
dc.contributor.authorLi, D.-
dc.contributor.authorSinai, Ya G.-
dc.date.accessioned2023-03-31T05:25:15Z-
dc.date.available2023-03-31T05:25:15Z-
dc.date.issued2010-
dc.identifier.citationRegular and Chaotic Dynamics, 2010, v. 15, n. 4, p. 521-531-
dc.identifier.issn1560-3547-
dc.identifier.urihttp://hdl.handle.net/10722/326616-
dc.description.abstractWe study complex-valued blowups of solutions for several hydrodynamic models. For complex-valued initial conditions, smooth local solutions can have finite-time singularities since the energy inequality does not hold. By using some version of the renormalization group method, we derive the equations for corresponding fixed points and analyze the spectrum of the linearized operator. We describe the open set of initial conditions for which blowups at finite time can occur. © 2010 Pleiades Publishing, Ltd.-
dc.languageeng-
dc.relation.ispartofRegular and Chaotic Dynamics-
dc.subjectblowup-
dc.subjectrenormalization group method-
dc.titleBlowups of complex-valued solutions for some hydrodynamic models-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1134/S1560354710040088-
dc.identifier.scopuseid_2-s2.0-85027954258-
dc.identifier.volume15-
dc.identifier.issue4-
dc.identifier.spage521-
dc.identifier.epage531-
dc.identifier.eissn1468-4845-
dc.identifier.isiWOS:000286401200008-

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