On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System
We establish the local well-posedness for the viscous two-component Camassa-Holm system. Moreover, applying the energy identity, we obtain a global existence result for the system with (u0,η0)∈H1(ℝ)×L2(ℝ).
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/327572 |
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| _version_ | 1832548103886995456 |
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| author | Xiuming Li |
| author_facet | Xiuming Li |
| author_sort | Xiuming Li |
| collection | DOAJ |
| description | We establish the local well-posedness for the viscous two-component Camassa-Holm system. Moreover, applying the energy identity, we obtain a global
existence result for the system with (u0,η0)∈H1(ℝ)×L2(ℝ). |
| format | Article |
| id | doaj-art-234deea5fa2543c5ba67b6ecf448fd78 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-234deea5fa2543c5ba67b6ecf448fd782025-02-03T06:42:08ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/327572327572On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm SystemXiuming Li0School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, ChinaWe establish the local well-posedness for the viscous two-component Camassa-Holm system. Moreover, applying the energy identity, we obtain a global existence result for the system with (u0,η0)∈H1(ℝ)×L2(ℝ).http://dx.doi.org/10.1155/2012/327572 |
| spellingShingle | Xiuming Li On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System Abstract and Applied Analysis |
| title | On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System |
| title_full | On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System |
| title_fullStr | On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System |
| title_full_unstemmed | On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System |
| title_short | On the Global Well-Posedness of the Viscous Two-Component Camassa-Holm System |
| title_sort | on the global well posedness of the viscous two component camassa holm system |
| url | http://dx.doi.org/10.1155/2012/327572 |
| work_keys_str_mv | AT xiumingli ontheglobalwellposednessoftheviscoustwocomponentcamassaholmsystem |