2 papers
math.AP2026
Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits
Georg Heinze, Jan-Frederik Pietschmann, André Schlichting
We study evolution equations on metric graphs with reservoirs, that is graphs where a one-dimensional interval is associated to each edge and, in addition, the vertices are able to…
math.AP2025
Discrete-to-continuum limit for nonlinear reaction-diffusion systems via EDP convergence for gradient systems
Georg Heinze, Alexander Mielke, Artur Stephan
We investigate the convergence of spatial discretizations for reaction-diffusion systems with mass-action law satisfying a detailed balance condition. Considering systems on the d-…