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- Publisher Website: 10.1016/j.chaos.2012.06.002
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Article: Decay of Fourier modes of solutions to the dissipative surface quasi-geostrophic equations on a finite domain
Title | Decay of Fourier modes of solutions to the dissipative surface quasi-geostrophic equations on a finite domain |
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Authors | |
Issue Date | 2012 |
Citation | Chaos, Solitons and Fractals, 2012, v. 45, n. 9-10, p. 1192-1200 How to Cite? |
Abstract | We consider the two dimensional dissipative surface quasi-geostrophic equation on the unit square with mixed boundary conditions. Under some suitable assumptions on the initial stream function, we obtain existence and uniqueness of solutions in the form of a fast converging trigonometric series. We prove that the Fourier coefficients of solutions have a non-uniform decay: in one direction the decay is exponential and along the other direction it is only power like. We establish global wellposedness for arbitrary large initial data. © 2012 Elsevier Ltd. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/326900 |
ISSN | 2023 Impact Factor: 5.3 2023 SCImago Journal Rankings: 1.349 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chernov, Nikolai | - |
dc.contributor.author | Li, Dong | - |
dc.date.accessioned | 2023-03-31T05:27:21Z | - |
dc.date.available | 2023-03-31T05:27:21Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Chaos, Solitons and Fractals, 2012, v. 45, n. 9-10, p. 1192-1200 | - |
dc.identifier.issn | 0960-0779 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326900 | - |
dc.description.abstract | We consider the two dimensional dissipative surface quasi-geostrophic equation on the unit square with mixed boundary conditions. Under some suitable assumptions on the initial stream function, we obtain existence and uniqueness of solutions in the form of a fast converging trigonometric series. We prove that the Fourier coefficients of solutions have a non-uniform decay: in one direction the decay is exponential and along the other direction it is only power like. We establish global wellposedness for arbitrary large initial data. © 2012 Elsevier Ltd. All rights reserved. | - |
dc.language | eng | - |
dc.relation.ispartof | Chaos, Solitons and Fractals | - |
dc.title | Decay of Fourier modes of solutions to the dissipative surface quasi-geostrophic equations on a finite domain | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.chaos.2012.06.002 | - |
dc.identifier.scopus | eid_2-s2.0-84864105655 | - |
dc.identifier.volume | 45 | - |
dc.identifier.issue | 9-10 | - |
dc.identifier.spage | 1192 | - |
dc.identifier.epage | 1200 | - |
dc.identifier.isi | WOS:000309315800014 | - |