Persistence Property and Asymptotic Description for DGH Equation with Strong Dissipation
The present work is mainly concerned with the Dullin-Gottwald-Holm (DGH) equation with strong dissipation. We establish a sufficient condition to guarantee global-in-time solutions, then present persistence property for the Cauchy problem, and describe the asymptotic behavior of solutions for compac...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/163070 |
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| _version_ | 1832565452180553728 |
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| author | Ke-chuang Wang |
| author_facet | Ke-chuang Wang |
| author_sort | Ke-chuang Wang |
| collection | DOAJ |
| description | The present work is mainly concerned with the Dullin-Gottwald-Holm (DGH) equation with strong dissipation. We establish a sufficient condition to guarantee global-in-time solutions, then present persistence property for the Cauchy problem, and describe the asymptotic behavior of solutions for compactly supported initial data. |
| format | Article |
| id | doaj-art-7c9f43cf392449a096a0c78f4394b16d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7c9f43cf392449a096a0c78f4394b16d2025-02-03T01:07:43ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/163070163070Persistence Property and Asymptotic Description for DGH Equation with Strong DissipationKe-chuang Wang0Department of Basic, Zhejiang Dongfang Vocational Technical College, Wenzhou, Zhejiang 325011, ChinaThe present work is mainly concerned with the Dullin-Gottwald-Holm (DGH) equation with strong dissipation. We establish a sufficient condition to guarantee global-in-time solutions, then present persistence property for the Cauchy problem, and describe the asymptotic behavior of solutions for compactly supported initial data.http://dx.doi.org/10.1155/2013/163070 |
| spellingShingle | Ke-chuang Wang Persistence Property and Asymptotic Description for DGH Equation with Strong Dissipation Discrete Dynamics in Nature and Society |
| title | Persistence Property and Asymptotic Description for DGH Equation with Strong Dissipation |
| title_full | Persistence Property and Asymptotic Description for DGH Equation with Strong Dissipation |
| title_fullStr | Persistence Property and Asymptotic Description for DGH Equation with Strong Dissipation |
| title_full_unstemmed | Persistence Property and Asymptotic Description for DGH Equation with Strong Dissipation |
| title_short | Persistence Property and Asymptotic Description for DGH Equation with Strong Dissipation |
| title_sort | persistence property and asymptotic description for dgh equation with strong dissipation |
| url | http://dx.doi.org/10.1155/2013/163070 |
| work_keys_str_mv | AT kechuangwang persistencepropertyandasymptoticdescriptionfordghequationwithstrongdissipation |