A pseudoparabolic reaction-diffusion-mechanics system : Modeling, analysis and simulation

Author: Arthur Vromans; Adrian Muntean; Martin Lind; Mohammad Asadzadeh; Karlstads Universitet; []

Keywords: NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; reaction-diffusion-mechanics model; parameter delimitation; parabolic-pseudoparabolic equations; weak solvability; Rothe method; periodic homogenization; Matematik; Mathematics;

Abstract: 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.

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