A pseudoparabolic reaction-diffusion-mechanics system: Modeling, analysis and simulation
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+).
2018-05-232018-05-102018-05-23Bibliographically approved