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OPTIMAL CONTROL FOR SOME SEMILINEAR PARABOLIC SYSTEM

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초록

This paper is concerned with the optimal control problem associated to strong solution of Belousov-Zhabotinskii reaction model in 2D domain. That is, we otain the global existence of strong solution and show the existence of optimal control.

Abstract

This paper is concerned with the optimal control problem associated to strong solution of Belousov-Zhabotinskii reaction model in 2D domain. That is, we otain the global existence of strong solution and show the existence of optimal control.

참고문헌 (10)

  1. J. P. Keener, "Spiral waves in the Belousov-Zhabotinskii reaction", Physica D, 21, pp.307~324 (1986)
  2. J. L. Lions, "Quelques Methodes de Resolution des Problemes aux Limites Non Lineaires", pp.1969, Dunford
  3. S.-U. Ryu, "Optimal control of Keller-Segel equations", J. Math. Anal. Appl, 256(1), pp.45~66 (2001)
  4. 유상욱, "Optimal control for Belousov-Zhabotinskii reaction model", East Asian Mathematical Journal, 31(1), pp.109~117 (2015), 영남수학회[DOI]
  5. 유상욱, "Optimality conditions for optimal control governed by Belousov-Zhabotinskii reaction model", 대한수학회논문집, 30(3), pp.327~337 (2015), 대한수학회
  6. H. Triebel, "Interpolation theory, function spaces, differential operators" (1978), North-Holland
  7. V. K. Vanag, "Design and control of patterns in reaction-diffusion systems", CHAOS, 18, pp.026107~ (2008)
  8. A. Yagi, "Exponential attractors for Belousov-Zhabotinskii re-action model", Discrete and continuous Dynamical Systems, (Suppl), pp.846~856 (2009)
  9. A. Yagi, "Abstract parabolic evolution equations and their applications" (2010), Springer-Verlag
  10. V. S. Zykov, "Golbal control of spiral wave dynamics in an excitable domain of circular and elliptical shape", Phys. Rev. Lett, 92, pp.018304~ (2004)

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