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Optimal Control of a Viscous Shallow Water Equation

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  • Wenbin Zhang
  • Jiangbo Zhou

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.

Suggested Citation

  • Wenbin Zhang & Jiangbo Zhou, 2013. "Optimal Control of a Viscous Shallow Water Equation," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-8, September.
    • Handle: RePEc:hin:jnlamp:715959
    DOI: 10.1155/2013/715959
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