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Mathematics Subject Classification. 34E15, 49J40, 49J45, 80A30, 92E20
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 Γ-convergence of the primary and dualfatcat:o3trz6hsdrcqvgwfc6a2pyslku