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Article: Blowups of complex-valued solutions for some hydrodynamic models
Title | Blowups of complex-valued solutions for some hydrodynamic models |
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Authors | |
Keywords | blowup renormalization group method |
Issue Date | 2010 |
Citation | Regular and Chaotic Dynamics, 2010, v. 15, n. 4, p. 521-531 How to Cite? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/326616 |
ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.384 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, D. | - |
dc.contributor.author | Sinai, Ya G. | - |
dc.date.accessioned | 2023-03-31T05:25:15Z | - |
dc.date.available | 2023-03-31T05:25:15Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Regular and Chaotic Dynamics, 2010, v. 15, n. 4, p. 521-531 | - |
dc.identifier.issn | 1560-3547 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326616 | - |
dc.description.abstract | We 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.language | eng | - |
dc.relation.ispartof | Regular and Chaotic Dynamics | - |
dc.subject | blowup | - |
dc.subject | renormalization group method | - |
dc.title | Blowups of complex-valued solutions for some hydrodynamic models | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1134/S1560354710040088 | - |
dc.identifier.scopus | eid_2-s2.0-85027954258 | - |
dc.identifier.volume | 15 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 521 | - |
dc.identifier.epage | 531 | - |
dc.identifier.eissn | 1468-4845 | - |
dc.identifier.isi | WOS:000286401200008 | - |