| KEYWORD |
Diffusion effects in mean-field limits for multi-population dynamics
keywords MEASURE THEORY, NON LINEAR DYNAMICS, OPINION DYNAMICS
Reference persons MARCO MORANDOTTI
External reference persons Francesco Solombrino (uniNA)
Research Groups Analisi non lineare e calcolo delle variazioni
Thesis type APPLIED RESEARCH, RESEARCH
Description The thesis focuses on analyzing the effects of diffusion in models for multi-population dynamics. The mean-filed limit is obtained from a many-particle system in which a nonlocal trasport dynamics, a regularising diffusion term, and a Markov-type jump process are combined. If the diffusion term is neglected, the mean-field limit of analogous systems has been recently analyzed with relevant applications to social dynamics (population dynamics, replicator equation). The scope is to extend such results to the diffusive case. Numerical implementation can be considered.
See also http://marcomorandotti.weebly.com/thesis-lm.html
Required skills measure theory, probability, partial differential equations
Deadline 10/06/2023
PROPONI LA TUA CANDIDATURA