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math.AP2023
Ground states for aggregation-diffusion models on Cartan-Hadamard manifolds
Razvan C. Fetecau, Hansol Park
We consider a free energy functional on Cartan-Hadamard manifolds, and investigate the existence of its global minimizers. The energy functional consists of two components: an entr…
math.AP2023
Aggregation-diffusion energies on Cartan-Hadamard manifolds of unbounded curvature
Razvan C. Fetecau, Hansol Park
We consider an aggregation-diffusion energy on Cartan-Hadamard manifolds with sectional curvatures that can grow unbounded at infinity. The energy corresponds to a macroscopic aggr…
math.PR2023
Swarming models with specular boundary condition and environmental noise
Razvan C. Fetecau, Hui Huang, Jinniao Qiu
We investigate a general class of models for swarming/self-collective behaviour in domains with boundaries. The model is expressed as a stochastic system of interacting particles s…