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Global solutions for coupled Kuramoto-Sivashinsky-KdV system
Author(s):
Maomao
Cai;
Dening
Li
Journal:
Quart. Appl. Math.
67
(2009),
477-488.
MSC (2000):
Primary 35Q53, 35Q80;
Secondary 76E99
Posted:
May 6, 2009
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Additional information
Abstract:
We study the global smooth solution for the coupled Kuramoto-Sivanshinsky-KdV system in two-dimensional space. The model is proposed to describe the surface waves on multi-layered liquid films. The global solution is obtained for general initial data, using an a priori estimate for the nonlinear system, and the smoothness of such solution is established in  .
References:
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Additional Information:
Maomao
Cai
Affiliation:
Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA
Address at time of publication:
(Maomao Cai) Department of Mathematics, Weber State University, Ogden, UT 84405, USA
Email:
mcai@math.wvu.edu
Dening
Li
Affiliation:
Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA
Email:
li@math.wvu.edu
PII:
S0033-569X-09-01148-8
Keywords:
Kuramoto-Sivashinsky-KdV system,
global solution
Received by editor(s):
February 17, 2008
Posted:
May 6, 2009
Additional Notes:
The first author was supported in part by DoDEPSCOR N000014-02-1-0577
The second author was supported in part by DoDEPSCOR N000014-02-1-0577 and WVU Faculty Development Fund
Copyright of article:
Copyright
2009,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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