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Local weak solvability of a moving boundary problem describing swelling along a halfline
Nagasaki University, Japan.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-1160-0007
2019 (English)In: Networks and Heterogeneous Media, ISSN 1556-1801, E-ISSN 1556-181X, Vol. 14, no 3, p. 445-469Article in journal (Refereed) Published
Abstract [en]

We obtain the local well-posedness of a moving boundary problem that describes the swelling of a pocket of water within an infinitely thin elongated pore (i.e. on [a, +∞), a > 0). Our result involves fine a priori estimates of the moving boundary evolution, Banach fixed point arguments as well as an application of the general theory of evolution equations governed by subdifferentials.

Place, publisher, year, edition, pages
American Institute of Mathematical Sciences, 2019. Vol. 14, no 3, p. 445-469
Keywords [en]
Moving boundary problem, a priori estimates, Nonlinear initial-boundary value problems for nonlinear parabolic equations, Swelling of pores, Flux boundary conditions.
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-71359DOI: 10.3934/nhm.2019018ISI: 000470084700001OAI: oai:DiVA.org:kau-71359DiVA, id: diva2:1291665
Available from: 2019-02-25 Created: 2019-02-25 Last updated: 2020-04-29Bibliographically approved

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Muntean, Adrian

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