A system of continuity equations with nonlocal interactions of Morse type

Authors: Di Francesco, Marco, Iorio, Valeria

Source: Communications on Pure and Applied Analysis. 24:1381-1405

Subject Terms: Optimal transportation, Primary: 35D30, 35F55, 35Q70. Secondary: 35Q49, 49Q22, PDEs in connection with mechanics of particles and systems of particles, Wasserstein gradient flow, nonlocal interaction, Mathematics - Analysis of PDEs, Transport equations, deterministic particle approximation, Morse potential, multi-agent system, Nonlocal interaction, FOS: Mathematics, Initial value problems for systems of nonlinear first-order PDEs, Weak solutions to PDEs, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2406.18771
https://zbmath.org/8035389
https://doi.org/10.3934/cpaa.2025041