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A pseudoparabolic reaction-diffusion-mechanics system: Modeling, analysis and simulation
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). Centre for Analysis, Computer Science and Applications (CASA), Department of Mathematics and Computers Science, Eindhoven University of Technology, Eindhoven, the Netherlands.
2018 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. Furthermore, it is numerically illustrated that approximate solutions according to the Rothe method exhibit expected realistic behaviour. For a simpler model formulation, the periodic homogenization in higher space dimensions is performed.

Place, publisher, year, edition, pages
Karlstad: Karlstads universitet, 2018. , p. 107
Series
Karlstad University Studies, ISSN 1403-8099 ; 2018:26
Keywords [en]
reaction-diffusion-mechanics model, parameter delimitation, parabolic-pseudoparabolic equations, weak solvability, Rothe method, periodic homogenization
National Category
Computational Mathematics Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-67292ISBN: 978-91-7063-859-6 (print)ISBN: 978-91-7063-954-8 (electronic)OAI: oai:DiVA.org:kau-67292DiVA, id: diva2:1205133
Presentation
2018-06-12, Eva Eriksson Room, Karlstad, 10:00 (English)
Opponent
Supervisors
Note

Research is funded by the Netherlands Organisation of Scientific Research (NWO) with MPE-grant 657.000.004, and a research stay at Karlstads Universitet is funded by NWO cluster Nonlinear Dynamics in Natural Systems (NDNS+).

Available from: 2018-05-23 Created: 2018-05-10 Last updated: 2018-05-23Bibliographically approved

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Vromans, Arthur

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