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Article: On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces
Title | On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces |
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Authors | |
Keywords | Critical and supercritical Global well-posedness Higher regularity Quasi-geostrophic equations |
Issue Date | 2010 |
Citation | Journal of Differential Equations, 2010, v. 248, n. 11, p. 2684-2702 How to Cite? |
Abstract | We prove the local smoothing effect of the 2D critical and supercritical dissipative quasi-geostrophic equations in critical Besov spaces. As an application, a global well-posedness result is established by adapting a method in Kiselev, Nazarov, and Volberg (2007) [16] and an idea in Dong and Du (2008) [15] with suitable modifications. Moreover, we show that the unique solution obtained in Chen, Miao, and Zhang (2007) [11] is a classical solution. These generalize some previous results in Dong (2010) [13], Dong and Du (2008) [15]. The main ingredients of the proofs are two commutator estimates and the preservation of suitable modulus of continuity of the solutions. © 2010 Elsevier Inc. |
Persistent Identifier | http://hdl.handle.net/10722/327498 |
ISSN | 2023 Impact Factor: 2.4 2023 SCImago Journal Rankings: 2.046 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Dong, Hongjie | - |
dc.contributor.author | Li, Dong | - |
dc.date.accessioned | 2023-03-31T05:31:48Z | - |
dc.date.available | 2023-03-31T05:31:48Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Journal of Differential Equations, 2010, v. 248, n. 11, p. 2684-2702 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327498 | - |
dc.description.abstract | We prove the local smoothing effect of the 2D critical and supercritical dissipative quasi-geostrophic equations in critical Besov spaces. As an application, a global well-posedness result is established by adapting a method in Kiselev, Nazarov, and Volberg (2007) [16] and an idea in Dong and Du (2008) [15] with suitable modifications. Moreover, we show that the unique solution obtained in Chen, Miao, and Zhang (2007) [11] is a classical solution. These generalize some previous results in Dong (2010) [13], Dong and Du (2008) [15]. The main ingredients of the proofs are two commutator estimates and the preservation of suitable modulus of continuity of the solutions. © 2010 Elsevier Inc. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Differential Equations | - |
dc.subject | Critical and supercritical | - |
dc.subject | Global well-posedness | - |
dc.subject | Higher regularity | - |
dc.subject | Quasi-geostrophic equations | - |
dc.title | On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jde.2010.02.015 | - |
dc.identifier.scopus | eid_2-s2.0-77952242899 | - |
dc.identifier.volume | 248 | - |
dc.identifier.issue | 11 | - |
dc.identifier.spage | 2684 | - |
dc.identifier.epage | 2702 | - |
dc.identifier.eissn | 1090-2732 | - |
dc.identifier.isi | WOS:000278039600003 | - |