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On uniqueness of a weak solution of one-dimensional concrete carbonation problem
Gifu University, Japan.
Eindhoven University of Technology. (Mathematics)ORCID iD: 0000-0002-1160-0007
2011 (English)In: Discrete and Continuous Dynamical Systems, ISSN 1078-0947, E-ISSN 1553-5231, Vol. 29, no 4, 1345-1365 p.Article in journal (Refereed) Published
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Abstract [en]

In our previous works we studied a one-dimensional free-boundary model related to the aggressive penetration of gaseous carbon dioxide in unsaturated concrete. Essentially, global existence and uniqueness of weak solutions to the model were obtained when the initial functions are bounded on the domain. In this paper we investigate the well-posedness of the problem for the case when the initial functions belong to a  class. Specifically, the uniqueness of weak solutions is proved by applying the dual equation method.

Place, publisher, year, edition, pages
American Institute of Mathematical Sciences, 2011. Vol. 29, no 4, 1345-1365 p.
Keyword [en]
Free boundary problem, uniqueness, dual equation method.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-39809DOI: 10.3934/dcds.2011.29.1345ISI: 000285188900002Scopus ID: 2-s2.0-79954498950OAI: oai:DiVA.org:kau-39809DiVA: diva2:901135
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cited By 1

Available from: 2016-02-06 Created: 2016-02-06 Last updated: 2017-05-29Bibliographically approved

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