2005-11-17Buch DOI: 10.18452/2715
Global Weak Solutions and Well-Posedness of Weak Solutions for a Moving Boundary Problem for a Coupled System of Diffusion-Reaction Equations arising in the Corrosion Modeling of Concrete
 dc.contributor.author Böhm, Michael dc.contributor.author Rosen, I. G. dc.date.accessioned 2017-06-15T18:04:04Z dc.date.available 2017-06-15T18:04:04Z dc.date.created 2005-11-17 dc.date.issued 2005-11-17 dc.identifier.issn 0863-0976 dc.identifier.uri http://edoc.hu-berlin.de/18452/3367 dc.description.abstract 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 influence of hydrogen sulfide can be modelled by a moving boundary problem for three coupled one-dimensional diffusion equations. We show that the problem formulated via weak solutions is well-posed. The function describing the position of the moving boundary belongs to $W^{1,\infty}(\R^+)$. The paper generalizes previous results by relaxing the assumptions and by providing global weak solutions instead of local ones. eng dc.language.iso eng dc.publisher Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik dc.subject corrosion eng dc.subject moving boundary problem eng dc.subject system of reaction-diffusion equations eng dc.subject well-posedness eng dc.subject maximum estimates eng dc.subject one-dimensional eng dc.subject porous media eng dc.subject.ddc 510 Mathematik dc.title Global Weak Solutions and Well-Posedness of Weak Solutions for a Moving Boundary Problem for a Coupled System of Diffusion-Reaction Equations arising in the Corrosion Modeling of Concrete dc.type book dc.subtitle (Part 2) dc.identifier.urn urn:nbn:de:kobv:11-10053892 dc.identifier.doi http://dx.doi.org/10.18452/2715 local.edoc.container-title Preprints aus dem Institut für Mathematik local.edoc.pages 22 local.edoc.type-name Buch local.edoc.container-type series local.edoc.container-type-name Schriftenreihe local.edoc.container-volume 1997 local.edoc.container-issue 15 local.edoc.container-year 1997 local.edoc.container-erstkatid 2075199-0