We formulate a 1D partly dissipative moving-boundary reaction-diffusion system that describes the penetration of a reaction front into a concrete wall. We state the well-posedness of the model and the existence of non-trivial upper and lower bounds for the concentrations, speed of the interface, and shut-down time of the process. A numerical example illustrates the typical behavior of concentrations and interface penetration in a real-world application.
|Title of host publication||Free and Moving Boundary Problems: Theory and Applications|
|Editors||I.N. Figueiredo, J.F. Rodrigues, L. Santos|
|Place of Publication||Basel|
|Publication status||Published - 2006|
|Name||International Series of Numerical Mathematics|