Unique Solvability of the Inverse Problem with a Time-Dependent Boundary Condition for a Sorption Model.

Autor: A. B. Evseev, A. V. Lukshin
Zdroj: Computational Mathematics & Modeling; Oct2002, Vol. 13 Issue 4, p413-422, 10p
Abstrakt: A mixed initial boundary-value problem is considered for nonequilibrium sorption dynamics with inner-diffusion kinetics. The problem allows for convection and longitudinal diffusion and has a time-dependent boundary condition. This condition contains the time derivative of a solution component and constitutes the balance equation for the absorbed mixture near the output boundary of the sorption region—inside the diffusion barrier. Bounds on the solution of the direct problem are obtained: nonnegativity of the solution and its first time derivatives, and boundedness of the solution by known functions. The inverse problem of estimating the nonlinear system parameter—the sorption isotherm—is considered and a uniqueness theorem is proved. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz: