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math.AP2022
Stability of quasi-entropy solutions of non-local scalar conservation laws
Elio Marconi, Emanuela Radici, Federico Stra
We prove the stability of entropy solutions of nonlinear conservation laws with respect to perturbations of the initial datum, the space-time dependent flux and the entropy inequal…
math.AP2022
Deterministic particle approximation of aggregation diffusion equations with nonlinear mobility
Sara Daneri, Emanuela Radici, Eris Runa
We consider a class of aggregation-diffusion equations on unbounded one dimensional domains with Lipschitz nonincreasing mobility function. We show strong -convergence of a su…
math.AP2022
Optimal control problems of nonlocal interaction equations
S. Fagioli, A. Kaufmann, E. Radici
In the present work we deal with the existence of solutions for optimal control problems associated to transport equations. The behaviour of a population of individuals will be inf…