2 citations · 2 across the 5 of their papers we have counts for
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Entropy solutions of non-local scalar conservation laws with congestion via deterministic particle method
Emanuela Radici, Federico Stra
We develop deterministic particle schemes to solve non-local scalar conservation laws with congestion. We show that the discrete approximations converge to the unique entropy solut…
Classification of strict limits of planar BV homeomorphisms
Daniel Campbell, Aapo Kauranen, Emanuela Radici
We present a classification of strict limits of planar BV homeomorphisms. The authors and S. Hencl showed in a previous work \cite{CHKR} that such mappings allow for cavitations an…
Deterministic particle approximation of aggregation-diffusion equations on unbounded domains
Sara Daneri, Emanuela Radici, Eris Runa
We consider a one-dimensional aggregation-diffusion equation, which is the gradient flow in the Wasserstein space of a functional with competing attractive-repulsive interactions.…
Opinion Formation Systems via Deterministic Particles Approximation
Simone Fagioli, Emanuela Radici
We propose an ODE-based derivation for a generalized class of opinion formation models either for single and multiple species (followers, leaders, trolls). The approach is purely d…
Deterministic particle approximation for nonlocal transport equations with nonlinear mobility
M. Di Francesco, S. Fagioli, E. Radici
We construct a deterministic, Lagrangian many-particle approximation to a class of nonlocal transport PDEs with nonlinear mobility arising in many contexts in biology and social sc…