On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System
We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/197672 |
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| _version_ | 1832559840890716160 |
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| author | Yongsheng Mi Chunlai Mu Weian Tao |
| author_facet | Yongsheng Mi Chunlai Mu Weian Tao |
| author_sort | Yongsheng Mi |
| collection | DOAJ |
| description | We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system. |
| format | Article |
| id | doaj-art-82b6690c39e845fe8f12e31949575a11 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-82b6690c39e845fe8f12e31949575a112025-02-03T01:29:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/197672197672On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm SystemYongsheng Mi0Chunlai Mu1Weian Tao2College of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and Computer Sciences, Yangtze Normal University, Fuling, Chongqing 408100, ChinaWe study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.http://dx.doi.org/10.1155/2012/197672 |
| spellingShingle | Yongsheng Mi Chunlai Mu Weian Tao On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System Journal of Applied Mathematics |
| title | On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System |
| title_full | On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System |
| title_fullStr | On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System |
| title_full_unstemmed | On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System |
| title_short | On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System |
| title_sort | on the blow up of solutions of a weakly dissipative modified two component periodic camassa holm system |
| url | http://dx.doi.org/10.1155/2012/197672 |
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