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- Publisher Website: 10.1016/j.physd.2007.11.015
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Article: Complex singularities of solutions of some 1D hydrodynamic models
Title | Complex singularities of solutions of some 1D hydrodynamic models |
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Authors | |
Keywords | Blow up Fixed point Renormalization group |
Issue Date | 2008 |
Citation | Physica D: Nonlinear Phenomena, 2008, v. 237, n. 14-17, p. 1945-1950 How to Cite? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/326748 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 1.074 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Sinai, Ya G. | - |
dc.date.accessioned | 2023-03-31T05:26:14Z | - |
dc.date.available | 2023-03-31T05:26:14Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Physica D: Nonlinear Phenomena, 2008, v. 237, n. 14-17, p. 1945-1950 | - |
dc.identifier.issn | 0167-2789 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326748 | - |
dc.description.abstract | We 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.language | eng | - |
dc.relation.ispartof | Physica D: Nonlinear Phenomena | - |
dc.subject | Blow up | - |
dc.subject | Fixed point | - |
dc.subject | Renormalization group | - |
dc.title | Complex singularities of solutions of some 1D hydrodynamic models | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.physd.2007.11.015 | - |
dc.identifier.scopus | eid_2-s2.0-47049100487 | - |
dc.identifier.volume | 237 | - |
dc.identifier.issue | 14-17 | - |
dc.identifier.spage | 1945 | - |
dc.identifier.epage | 1950 | - |
dc.identifier.isi | WOS:000258508000016 | - |