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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.authorBöhm, Michael
dc.contributor.authorRosen, I. G.
dc.date.accessioned2017-06-15T18:04:04Z
dc.date.available2017-06-15T18:04:04Z
dc.date.created2005-11-17
dc.date.issued2005-11-17
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3367
dc.description.abstractThe 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.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectcorrosioneng
dc.subjectmoving boundary problemeng
dc.subjectsystem of reaction-diffusion equationseng
dc.subjectwell-posednesseng
dc.subjectmaximum estimateseng
dc.subjectone-dimensionaleng
dc.subjectporous mediaeng
dc.subject.ddc510 Mathematik
dc.titleGlobal 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.typebook
dc.subtitle(Part 2)
dc.identifier.urnurn:nbn:de:kobv:11-10053892
dc.identifier.doihttp://dx.doi.org/10.18452/2715
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages22
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume1997
local.edoc.container-issue15
local.edoc.container-year1997
local.edoc.container-erstkatid2075199-0

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