A mathematical model of sulphite chemical aggression of limestones with high permeability. Part I. Modeling and qualitative analysis

We introduce a degenerate nonlinear parabolic–elliptic system, which describes the chemical aggression of limestones under the attack of SO2, in high permeability regime. By means of a dimensional scaling, the qualitative behavior of the solutions in the fast reaction limit is investigated. Explicit asymptotic conditions for the front formation are derived.

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