| Autor: |
Disser, Karoline, Liero, Matthias, Zinsl, Jonathan |
| Rok vydání: |
2016 |
| Předmět: |
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| DOI: |
10.20347/wias.preprint.2227 |
| Popis: |
We investigate the limit passage for a system of ordinary differential equations modeling slow and fast chemical reaction of mass-action type, where the rates of fast reactions tend to infinity. We give an elementary proof of convergence to a reduced dynamical system acting in the slow reaction directions on the manifold of fast reaction equilibria. Then we study the entropic gradient structure of these systems and prove an E-convergence result via Gamma-convergence of the primary and dual dissipation potentials, which shows that this structure carries over to the fast reaction limit. We recover the limit dynamics as a gradient flow of the entropy with respect to a pseudo-metric. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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