Identification of the diffusion coefficient for a semi-linear hyperbolic-parabolic problem with discontinuous nonlinear terms |
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Authors: | J. Pousin A. Roukbi |
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Affiliation: | (1) CNRS UMR 5585, Mathematical Modelling and Scientific Computing Laboratory, National Institute of Applied Sciences in Lyon, 20 av. Einstein, F-69621 Villeurbanne Cedex, France |
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Abstract: | Numerical computations concerning geochemical processes in porous media require a knowledge of the values of the macroscopic parameters. In the context of the interpretation of leaching tests one such parameter is the apparent macroscopic diffusivity. In this paper, a mathematical model for dissolution in the presence of diffusion is considered. It is shown that the constant diffusion coefficient can be identifiable when the time integral of the flux is known. Moreover, a practical algorithm for computing the diffusion coefficient is proposed. This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | inverse problems reaction-diffusion phase change discontinuous nonlinearities semi-linear parabolic 35B40 35K57 35R35 80A32 |
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