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Time periodic solution of the viscous Camassa-Holm equation |
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| Authors: | Yiping Fu Boling Guo |
| Affiliation: | a School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, PR China b Institute of Applied Physics and Computational Mathematics, Beijing 100088, PR China |
| Abstract: | This paper discusses the viscous Camassa-Holm equation with a periodic boundary condition. The existence and uniqueness of a time periodic solution are investigated by using the Galerkin method and Leray-Schauder fixed point theorem. |
| Keywords: | Camassa-Holm equation Time periodic solution Galerkin method Leray-Schauder fixed point theorem |
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