Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system
Abstract-A model consisting of a mixed Kuramoto-Sivashinsky-Korteweg-de Vries equation, linearly coupled to an extra linear dissipative equation has been proposed in [1] in order to describe the surface waves on multilayered liquid films and stability criteria are discussed using wave mode analysis....
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th-mahidol.231992018-08-20T14:04:48Z Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system Yongwimon Lenbury C. Rattanakul Dening Li Mahidol University West Virginia University Computer Science Mathematics Abstract-A model consisting of a mixed Kuramoto-Sivashinsky-Korteweg-de Vries equation, linearly coupled to an extra linear dissipative equation has been proposed in [1] in order to describe the surface waves on multilayered liquid films and stability criteria are discussed using wave mode analysis. In this paper, we study the linear stability of solutions to the model from the viewpoint of energy estimate. © 2006 Elsevier Ltd. 2018-08-20T06:57:15Z 2018-08-20T06:57:15Z 2006-08-01 Article Computers and Mathematics with Applications. Vol.52, No.3-4 (2006), 497-508 10.1016/j.camwa.2005.11.038 08981221 2-s2.0-33750488728 https://repository.li.mahidol.ac.th/handle/123456789/23199 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33750488728&origin=inward |
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Computer Science Mathematics Yongwimon Lenbury C. Rattanakul Dening Li Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system |
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Abstract-A model consisting of a mixed Kuramoto-Sivashinsky-Korteweg-de Vries equation, linearly coupled to an extra linear dissipative equation has been proposed in [1] in order to describe the surface waves on multilayered liquid films and stability criteria are discussed using wave mode analysis. In this paper, we study the linear stability of solutions to the model from the viewpoint of energy estimate. © 2006 Elsevier Ltd. |
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Mahidol University |
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Mahidol University Yongwimon Lenbury C. Rattanakul Dening Li |
| format |
Article |
| author |
Yongwimon Lenbury C. Rattanakul Dening Li |
| author_sort |
Yongwimon Lenbury |
| title |
Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system |
| title_short |
Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system |
| title_full |
Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system |
| title_fullStr |
Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system |
| title_full_unstemmed |
Stability of solution of Kuramoto-Sivashinsky-Korteweg-de Vries system |
| title_sort |
stability of solution of kuramoto-sivashinsky-korteweg-de vries system |
| publishDate |
2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/23199 |
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1763493230411776000 |