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Article: Bifurcation of Critical Points for Solutions of the 2D Euler and 2D Quasi-geostrophic Equations
Title | Bifurcation of Critical Points for Solutions of the 2D Euler and 2D Quasi-geostrophic Equations |
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Authors | |
Keywords | Bifurcations Euler equations Quasi-geostrophic |
Issue Date | 2012 |
Citation | Journal of Statistical Physics, 2012, v. 149, n. 1, p. 92-107 How to Cite? |
Abstract | We consider the 2D Euler and 2D quasi-geostrophic equations with periodic boundary conditions. For both systems we will use the stream-function formulation and study the bifurcation problem for the critical points of the stream function. In a small neighborhood of the origin, we construct a set of initial data such that initial critical points of the stream function bifurcate from 1 to 2 and then to 3 critical points in finite time. For the quasi-geostrophic equation the whole bifurcation process takes place strictly within the lifespan of the constructed local solution. © 2012 Springer Science+Business Media, LLC. |
Persistent Identifier | http://hdl.handle.net/10722/326908 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 0.798 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.date.accessioned | 2023-03-31T05:27:25Z | - |
dc.date.available | 2023-03-31T05:27:25Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Journal of Statistical Physics, 2012, v. 149, n. 1, p. 92-107 | - |
dc.identifier.issn | 0022-4715 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326908 | - |
dc.description.abstract | We consider the 2D Euler and 2D quasi-geostrophic equations with periodic boundary conditions. For both systems we will use the stream-function formulation and study the bifurcation problem for the critical points of the stream function. In a small neighborhood of the origin, we construct a set of initial data such that initial critical points of the stream function bifurcate from 1 to 2 and then to 3 critical points in finite time. For the quasi-geostrophic equation the whole bifurcation process takes place strictly within the lifespan of the constructed local solution. © 2012 Springer Science+Business Media, LLC. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Statistical Physics | - |
dc.subject | Bifurcations | - |
dc.subject | Euler equations | - |
dc.subject | Quasi-geostrophic | - |
dc.title | Bifurcation of Critical Points for Solutions of the 2D Euler and 2D Quasi-geostrophic Equations | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s10955-012-0583-x | - |
dc.identifier.scopus | eid_2-s2.0-84867138881 | - |
dc.identifier.volume | 149 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 92 | - |
dc.identifier.epage | 107 | - |
dc.identifier.isi | WOS:000309238500007 | - |