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Article: Complex singularities of solutions of some 1D hydrodynamic models

TitleComplex singularities of solutions of some 1D hydrodynamic models
Authors
Li, DongSinai, Ya G.
KeywordsBlow up
Fixed point
Renormalization group
Issue Date2008
Citation
Physica D: Nonlinear Phenomena, 2008, v. 237, n. 14-17, p. 1945-1950 How to Cite?
DOI: http://dx.doi.org/10.1016/j.physd.2007.11.015
AbstractWe study the complex singularities of solutions of some classes of 1D hydrodynamic models. The method is based on the renormalization group theory. We derive the equation for the corresponding fixed point and study the spectrum of the linearized map near this point. This information allows to describe the initial condition for which blow ups at finite time can occur. We should stress that our solutions having blow ups are complex-valued. © 2007 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/326748
ISSN
0167-2789
2023 Impact Factor: 2.7
2023 SCImago Journal Rankings: 1.074
ISI Accession Number ID
WOS:000258508000016

 

DC FieldValueLanguage
dc.contributor.authorLi, Dong-
dc.contributor.authorSinai, Ya G.-
dc.date.accessioned2023-03-31T05:26:14Z-
dc.date.available2023-03-31T05:26:14Z-
dc.date.issued2008-
dc.identifier.citationPhysica D: Nonlinear Phenomena, 2008, v. 237, n. 14-17, p. 1945-1950-
dc.identifier.issn0167-2789-
dc.identifier.urihttp://hdl.handle.net/10722/326748-
dc.description.abstractWe study the complex singularities of solutions of some classes of 1D hydrodynamic models. The method is based on the renormalization group theory. We derive the equation for the corresponding fixed point and study the spectrum of the linearized map near this point. This information allows to describe the initial condition for which blow ups at finite time can occur. We should stress that our solutions having blow ups are complex-valued. © 2007 Elsevier B.V. All rights reserved.-
dc.languageeng-
dc.relation.ispartofPhysica D: Nonlinear Phenomena-
dc.subjectBlow up-
dc.subjectFixed point-
dc.subjectRenormalization group-
dc.titleComplex singularities of solutions of some 1D hydrodynamic models-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.physd.2007.11.015-
dc.identifier.scopuseid_2-s2.0-47049100487-
dc.identifier.volume237-
dc.identifier.issue14-17-
dc.identifier.spage1945-
dc.identifier.epage1950-
dc.identifier.isiWOS:000258508000016-

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