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math.AP2026
Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions
Alexander Mielke, André Schlichting, Artur Stephan
We provide a derivation of the one-dimensional fourth-order DLSS equation based on an interpretation as a chemical reaction network. We consider the rate equation on the discretize…
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-…