Open AccessThe Coupled Kuramoto-Sivashinsky-KdV Equations for Surface Wave in Multilayered Liquid Films
Author(s) -
Maomao Cai,
Dening Li,
Chontita Rattanakul
Publication year - 2013
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.1155/2013/673546
Subject(s) - korteweg–de vries equation , a priori and a posteriori , surface (topology) , mathematics , initial value problem , physics , mathematical analysis , geometry , nonlinear system , quantum mechanics , philosophy , epistemology
We study the coupled Kuramoto-Sivashinsky-KdV equations describing the surface waves on multilayered liquid films. A priori energy estimates for linearized problem are derived and local existence of solutions for initial-value problem is established.
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