Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity
We discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial condition u(x,0)=u0(x). We prove existence of a global attractor in space H2(Ω), by using decomposition method with cut-off function and Kuratowskiα-measure in order to overcome the noncompac...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/725045 |
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| _version_ | 1832554219471634432 |
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| author | Zai-yun Zhang Zhen-hai Liu |
| author_facet | Zai-yun Zhang Zhen-hai Liu |
| author_sort | Zai-yun Zhang |
| collection | DOAJ |
| description | We discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial condition u(x,0)=u0(x). We prove existence of a global attractor in space H2(Ω), by using decomposition method with cut-off function and Kuratowskiα-measure in order to overcome the noncompactness of the classical Sobolev embedding. |
| format | Article |
| id | doaj-art-56f9b7694edb4849afad68fa120fcbbe |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-56f9b7694edb4849afad68fa120fcbbe2025-02-03T05:52:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/725045725045Global Attractor for the Generalized Dissipative KDV Equation with NonlinearityZai-yun Zhang0Zhen-hai Liu1School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, Hunan, ChinaSchool of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, ChinaWe discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial condition u(x,0)=u0(x). We prove existence of a global attractor in space H2(Ω), by using decomposition method with cut-off function and Kuratowskiα-measure in order to overcome the noncompactness of the classical Sobolev embedding.http://dx.doi.org/10.1155/2011/725045 |
| spellingShingle | Zai-yun Zhang Zhen-hai Liu Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity International Journal of Mathematics and Mathematical Sciences |
| title | Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity |
| title_full | Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity |
| title_fullStr | Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity |
| title_full_unstemmed | Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity |
| title_short | Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity |
| title_sort | global attractor for the generalized dissipative kdv equation with nonlinearity |
| url | http://dx.doi.org/10.1155/2011/725045 |
| work_keys_str_mv | AT zaiyunzhang globalattractorforthegeneralizeddissipativekdvequationwithnonlinearity AT zhenhailiu globalattractorforthegeneralizeddissipativekdvequationwithnonlinearity |