EDP-convergence for nonlinear fast–slow reaction systems with detailed balance*

Abstract We consider nonlinear reaction systems satisfying mass-action kinetics with slow and fast reactions. It is known that the fast-reaction-rate limit can be described by an ODE Lagrange multipliers a set of constraints ask reactions to in equilibrium. Our aim study limiting gradient structure which available if system satisfies detailed-balance condition. The on concentration vectors given terms relative Boltzmann entropy cosh-type dissipation potential. show or effective rigorously derived via EDP-convergence, i.e. convergence sense energy-dissipation principle for flows. In general, will no longer type satisfy kinetics.