18 citations · 50 across the 15 of their papers we have counts for
4 papers · 1 filter
Fast-slow chemical reactions: convergence of Hamilton-Jacobi equation and variational representation
Yuan Gao, Artur Stephan
Microscopic behaviors of chemical reactions can be described by a random time-changed Poisson process, whose large-volume limit determines the macroscopic behaviors of species conc…
On time-splitting methods for gradient flows with two dissipation mechanisms
Alexander Mielke, Riccarda Rossi, Artur Stephan
We consider generalized gradient systems in Banach spaces whose evolutions are generated by the interplay between an energy functional and a dissipation potential. We focus on the…
EDP-convergence for a linear reaction-diffusion system with fast reversible reaction
Artur Stephan
We perform a fast-reaction limit for a linear reaction-diffusion system consisting of two diffusion equations coupled by a linear reaction. We understand the linear reaction-diffus…
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance
Alexander Mielke, Mark A. Peletier, Artur Stephan
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 with L…