Abstract
The weak solvability of a nonlinearly coupled system of parabolic and
pseudo-parabolic equations describing the interplay between mechanics, chemical reactions, diffusion and flow modelled within a mixture theory framework is studied via energylike estimates and Gronwall inequalities. In analytically derived parameter regimes, these estimates ensure the convergence of discretized-in-time partial differential equations. These regimes are tested and extended numerically. Especially, the dependence of the temporal existence domain of physical behaviour on selected parameters is shown.
pseudo-parabolic equations describing the interplay between mechanics, chemical reactions, diffusion and flow modelled within a mixture theory framework is studied via energylike estimates and Gronwall inequalities. In analytically derived parameter regimes, these estimates ensure the convergence of discretized-in-time partial differential equations. These regimes are tested and extended numerically. Especially, the dependence of the temporal existence domain of physical behaviour on selected parameters is shown.
| Translated title of the contribution | Parameter delimitatie van de zwakke oplosbaarheid voor een pseudo-parabolisch system dat chemische reacties, diffusie en impulsvergelijkingen koppelt. |
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| Original language | English |
| Pages (from-to) | 273-311 |
| Number of pages | 38 |
| Journal | Advances in Mathematical Sciences and Applications |
| Volume | 28 |
| Issue number | 2 |
| Publication status | Published - 1 Jul 2019 |