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Optimal Control of a Viscous Shallow Water Equation

Wenbin Zhang () and Jiangbo Zhou ()

Advances in Mathematical Physics, 2013, vol. 2013, 1-8

Abstract: This paper is concerned with a viscous shallow water equation, which includes both the viscous Camassa-Holm equation and the viscous Degasperis-Procesi equation as its special cases. The optimal control under boundary conditions is given, and the existence of optimal solution to the equation is proved.

Date: 2013
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DOI: 10.1155/2013/715959

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