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. / <p>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+).</p>
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kau-67292 |
| Date | January 2018 |
| Creators | Vromans, Arthur |
| Publisher | Karlstads universitet, Institutionen för matematik och datavetenskap (from 2013), Centre for Analysis, Computer Science and Applications (CASA), Department of Mathematics and Computers Science, Eindhoven University of Technology, Eindhoven, the Netherlands, Karlstad |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Licentiate thesis, monograph, info:eu-repo/semantics/masterThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | Karlstad University Studies, 1403-8099 ; 2018:26 |
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