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math.AP2025
High-friction limit for bipolar Euler-Riesz systems
Nuno J. Alves, Jan Haskovec
We consider a bipolar Euler-Riesz system and rigorously justify the high-friction limit of weak solutions towards a bipolar aggregation-diffusion system with Riesz interactions. Th…
math.OC2025
Rigorous dense graph limit of a model for biological transportation networks
Nuno J. Alves, Jan Haskovec
We rigorously derive the dense graph limit of a discrete model describing the formation of biological transportation networks. The discrete model, defined on undirected graphs with…