Optimal control of the viscous weakly dispersive Degasperis-Procesi equation |
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| Authors: | Chunyu Shen Anna Gao |
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| Affiliation: | a Department of Student Affairs, Jiangsu University, Zhenjiang, Jiangsu 212013, People’s Republic of China
b Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, People’s Republic of China |
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| Abstract: | In this paper, we study the optimal control problem for the viscous weakly dispersive Degasperis-Procesi equation. We deduce the existence and uniqueness of a weak solution to this equation in a short interval by using the Galerkin method. Then, according to optimal control theories and distributed parameter system control theories, the optimal control of the viscous weakly dispersive Degasperis-Procesi equation under boundary conditions is given and the existence of an optimal solution to the viscous weakly dispersive Degasperis-Procesi equation is proved. |
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| Keywords: | Viscous weakly dispersive Degasperis-Procesi equation Optimal control Optimal solution |
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