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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Main Authors: Yongwimon Lenbury, C. Rattanakul, Dening Li
其他作者: Mahidol University
格式: Article
出版: 2018
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在線閱讀:https://repository.li.mahidol.ac.th/handle/123456789/23199
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總結: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.