3 papers
math.AP2026
Gradient flow formulation and discrete approximation of reaction-cross-diffusion systems with size exclusion
Georg Heinze
We characterize a class of possibly degenerate nonlinear reaction-cross-diffusion systems with size exclusion as (non-metric) gradient flows in continuity-equation format driven by…
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-…
math.AP2024
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…