On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term
In this paper, we consider b-family equations with a strong dispersive term. First, we present a criterion on blow-up. Then global existence and persistence property of the solution are also established. Finally, we discuss infinite propagation speed of this equation.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/513467 |
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| _version_ | 1849467037997334528 |
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| author | Xuefei Liu Mingxuan Zhu Zaihong Jiang |
| author_facet | Xuefei Liu Mingxuan Zhu Zaihong Jiang |
| author_sort | Xuefei Liu |
| collection | DOAJ |
| description | In this paper, we consider b-family equations with a strong dispersive term. First, we present a criterion on blow-up. Then global existence and persistence property of the solution are also established. Finally, we discuss infinite propagation speed of this equation. |
| format | Article |
| id | doaj-art-abb73abefa044a408ef700c0d07b38e1 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-abb73abefa044a408ef700c0d07b38e12025-08-20T03:39:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/513467513467On the Cauchy Problem for the b-Family Equations with a Strong Dispersive TermXuefei Liu0Mingxuan Zhu1Zaihong Jiang2College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou 404000, Chongqing, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, ChinaIn this paper, we consider b-family equations with a strong dispersive term. First, we present a criterion on blow-up. Then global existence and persistence property of the solution are also established. Finally, we discuss infinite propagation speed of this equation.http://dx.doi.org/10.1155/2011/513467 |
| spellingShingle | Xuefei Liu Mingxuan Zhu Zaihong Jiang On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term Journal of Applied Mathematics |
| title | On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term |
| title_full | On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term |
| title_fullStr | On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term |
| title_full_unstemmed | On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term |
| title_short | On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term |
| title_sort | on the cauchy problem for the b family equations with a strong dispersive term |
| url | http://dx.doi.org/10.1155/2011/513467 |
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