Analysis and approximation for inverse problems in contaminant transport and biodegradation models. (English) Zbl 0839.76081

Summary: We consider the problem of estimating transport and biodegradation parameters in a contaminant transport model. We develop a convergence theory for parameter identification under approximation that includes the nonlinearities inherent in the biodegradation models. The functional analytic approach provides a means for studying a variety of solute transport and biodegradation problems.


76R50 Diffusion
86A05 Hydrology, hydrography, oceanography
76Z99 Biological fluid mechanics
35R30 Inverse problems for PDEs
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