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Optimal Control of a Viscous Shallow Water Equation

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Listed:
  • 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, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:715959
    DOI: 10.1155/2013/715959
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    References listed on IDEAS

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    1. K. Kunisch & S. Volkwein, 1999. "Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition," Journal of Optimization Theory and Applications, Springer, vol. 102(2), pages 345-371, August.
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