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- Publisher Website: 10.1090/S0002-9939-2014-12057-0
- Scopus: eid_2-s2.0-84897596543
- WOS: WOS:000342299800014
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Article: Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions
Title | Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions |
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Authors | |
Issue Date | 2014 |
Citation | Proceedings of the American Mathematical Society, 2014, v. 142, n. 11, p. 3801-3810 How to Cite? |
Abstract | We consider the Cauchy problem to the two-dimensional incompressible liquid crystal equation and the heat flows of the harmonic maps equation. Under a natural geometric angle condition, we give a new proof of the global wellposedness of smooth solutions for a class of large initial data in energy space. This result was originally obtained by Ding-Lin and Lin-Lin-Wang. Our main technical tool is a rigidity theorem which gives the coercivity of the harmonic energy under a certain angle condition. Our proof is based on a frequency localization argument combined with the concentration-compactness approach which can be of independent interest. |
Persistent Identifier | http://hdl.handle.net/10722/326986 |
ISSN | 2021 Impact Factor: 0.971 2020 SCImago Journal Rankings: 0.968 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Lei, Zhen | - |
dc.contributor.author | Li, Dong | - |
dc.contributor.author | Zhang, Xiaoyi | - |
dc.date.accessioned | 2023-03-31T05:27:58Z | - |
dc.date.available | 2023-03-31T05:27:58Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Proceedings of the American Mathematical Society, 2014, v. 142, n. 11, p. 3801-3810 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326986 | - |
dc.description.abstract | We consider the Cauchy problem to the two-dimensional incompressible liquid crystal equation and the heat flows of the harmonic maps equation. Under a natural geometric angle condition, we give a new proof of the global wellposedness of smooth solutions for a class of large initial data in energy space. This result was originally obtained by Ding-Lin and Lin-Lin-Wang. Our main technical tool is a rigidity theorem which gives the coercivity of the harmonic energy under a certain angle condition. Our proof is based on a frequency localization argument combined with the concentration-compactness approach which can be of independent interest. | - |
dc.language | eng | - |
dc.relation.ispartof | Proceedings of the American Mathematical Society | - |
dc.title | Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1090/S0002-9939-2014-12057-0 | - |
dc.identifier.scopus | eid_2-s2.0-84897596543 | - |
dc.identifier.volume | 142 | - |
dc.identifier.issue | 11 | - |
dc.identifier.spage | 3801 | - |
dc.identifier.epage | 3810 | - |
dc.identifier.eissn | 1088-6826 | - |
dc.identifier.isi | WOS:000342299800014 | - |