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....

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Yongwimon Lenbury, C. Rattanakul, Dening Li
مؤلفون آخرون: Mahidol University
التنسيق: مقال
منشور في: 2018
الموضوعات:
الوصول للمادة أونلاين:https://repository.li.mahidol.ac.th/handle/123456789/23199
الوسوم: إضافة وسم
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الوصف
الملخص: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.