Global Weak Solutions and Well-posedness of Weak Solutions for a Moving Boundary Problem for a Coupled System of Diiusion-reaction Equations Arising in the Corrosion-modeling of Concrete (part 2) Partially Supported by Dfg

نویسنده

  • I. G. Rosen
چکیده

The evolution of the corrosion interface separating the uncorroded concrete part and the corroded part of a partially wet concrete wall of a pipe under the innuence of hydrogen sullde can be modelled by a moving boundary problem for three coupled one-dimensional diiusion equations. We show that the problem formulated via weak solutions is well-posed. The function describing the position of the moving boundary belongs to W 1;1 (IR +). The paper generalizes previous results by relaxing the assumptions and by providing global weak solutions instead of local ones.

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تاریخ انتشار 1997