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Identification of the hydraulic conductivities in a saltwater intrusion problem
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M. El Alaoui Talibi
Published/Copyright:
May 7, 2008
In this paper, the identification of the hydraulic conductivities in a seawater intrusion problem is investigated. The system of two coupled quasilinear partial differential equations describing the direct problem are solved on the basis of an established maximum principle using a fixed point theorem. The existence of an optimal control is proved, even if the conductivities are discontinuous functions, and the necessary conditions for optimality are obtained. Finally, some numerical results are presented for the sake of illustration.
Keywords: seawater intrusion coupled quasilinear system; coefficients identification; optimal control
Received: 2004-November-30
Revised: 2006-September-16
Published Online: 2008-05-07
Published in Print: 2007-12-30
© de Gruyter
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Articles in the same Issue
- Table of solutions and coefficients for second-order differential equations and inverse problems
- Multidimensional inverse problem for isotropic elasticity system in a sphere
- Identification of the hydraulic conductivities in a saltwater intrusion problem
- Inverse problems for the Black–Scholes equation and related problems
Keywords for this article
seawater intrusion coupled quasilinear system;
coefficients identification;
optimal control
Articles in the same Issue
- Table of solutions and coefficients for second-order differential equations and inverse problems
- Multidimensional inverse problem for isotropic elasticity system in a sphere
- Identification of the hydraulic conductivities in a saltwater intrusion problem
- Inverse problems for the Black–Scholes equation and related problems
