Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

OPTIMAL CONTROL OF SYSTEMS OF PARABOLIC PDES IN EXPLOITATION OF OIL

  • Li, Chunfa (Department of Applied Mathematics, Dalian University of Technology) ;
  • Feng, Enmin (Department of Applied Mathematics, Dalian University of Technology) ;
  • Liu, Jinwang (Hunan University of Science and Technology)
  • Published : 2003.09.01

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Abstract

Optimal control problem for the exploitaton of oil is investigated. The optimal control problem under consideration in this paper is governed by weak coupled parabolic PDEs and involves with pointwise state and control constraints. The properties of solution of the state equations and the continuous dependence of state functions on control functions are investigated in a suitable function space; existence of optimal solution of the optimal control problem is also proved.

Keywords

References

  1. SPEJ v.3 The Behavior of Naturally Fractured Reservoirs J.E.Warren;P.E.Root
  2. Optimal Control of Systems Governed by Partial Differential Equations J.L.Lions
  3. J.Math. Anal. Appl. v.87 Convex parabolic boundary control problems with pointwise state constraints U.Mackenroth
  4. Appl. Math. Optim. v.38 Optimal control problems with state constraints in the fluid mechanics and combustion H.O.Fattorini;S.Sritharan
  5. SIAM J. Control Optim. v.35 Pontryagin's principle for state constrained boundary control of semilinear parabolic equation E.Casas
  6. SIAM J. Control Optim. v.39 Pontryagin's principle for local solutions of control problems with mixed control-state constraints E.Casas
  7. SIAM J. Control Optim. v.33 Pontryagin maximum principle for semilinear and quasilinear parabolic equations with state constraints B.Hu;J.Yong
  8. Proceedings of conference on potimal control of PDEs State constrained optimal control of some quasilinear parabolic equations L.A. Fernadez
  9. J.Computational and Applied Mathematics v.137 Optimal pointwise control for a parallel system of Euler-Bernoulli beams L.sadek;M.abukhaled
  10. Nonlinear Analysis v.39 Optimal pointwise control of semilinear parabolic equations J.Droniou;S.P.Raymond
  11. Nonlinear Analysis v.46 Minimax Dirichlet boundary control problem with state constraints N.Arada
  12. Appl. Math. Optim. v.29 Optimal control of parameter distributed systems with impulse S.Auita
  13. Shock waves and reaction-diffusion equations J.Smoller
  14. Linear and quasilinear equations of parabolic type O.Ladyzhenskaya;V.Solonnikov
  15. Sobolev space R.A.Adams