Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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DISTRIBUTED ROBUST CONTROL OF KELLER-SEGEL EQUATIONS

  • RYU, SANG-UK (Department of Mathematics Cheju National University) ;
  • YUN, YONG-SIK (Department of Mathematics Cheju National University)
  • Received : 2004.08.10
  • Accepted : 2004.10.08
  • Published : 2004.12.25
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Abstract

We are concerned with the robust control problem for the Keller-Segel equations with the distributed control and disturbance. We consider the present problem as a differential game finding the best control which takes into account the worst disturbance. We prove the existence of solutions and the optimality conditions to a corresponding problem.

Keywords

References

  1. Optimal Control of Distributed Parameter Systems Ahmed, N.U.;Teo, K.L.
  2. Analysis and Control of Nonlinear Infinite Dimensional Systems Barbu, V.
  3. Physica D v.138 A general framework for robust control in fluid mechanics Bewley, T.R.;Temam, R.;Ziane, M.
  4. Proc. Roy. Soc. Edinburgh Sect. v.125 Optimal control of quasilinear parabolic equations Casas, E.;Fernandez, L.A.;Yong, J.
  5. Mathematical Analysis and Numerical Methods for Science and Technology 5 Dautray, R.;Lions, J.L.
  6. Journal of theoritical biology v.26 Initiation of slime mold aggregation viewed as an instability Keller, K.L.;Segel, L.A.
  7. Optimal Control of Systems Governed by Partial Differential Equations Lions, J.L.
  8. J. Math. Anal. Appl. v.164 On the optimal control of strongly nonlinear evolution equations Papageorgiou, N.S.
  9. J. Math. Anal. Appl. v.256 Optimal control of Keller-Segel equations Ryu, S.U.;Yagi, A.
  10. Interpolation theory, function spaces, differential operators Triebel, H.