The attractor on viscosity Degasperis–Procesi equation |
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| Authors: | Lixin Tian Jinling Fan |
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| Institution: | aNonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China |
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| Abstract: | In this paper the dynamical behaviors of a dispersive shallow water equation with viscosity, viscosity Degasperis–Procesi equation, are investigated. The existence of global solution to viscosity Degasperis–Procesi equation in L2 under the periodical boundary condition is studied and the existence of the global attractor of semi-group to solution on viscosity Degasperis–Procesi equation in H2 is obtained. |
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| Keywords: | Degasperis– Procesi equation Global solution Attractor Viscosity |
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