2df10ddf-2a5c-45f7-b590-57cdf5ac434f20220310063805560naun:naunmdt@crossref.orgMDT DepositInternational Journal of Energy and Environment2308-100710.46300/91012http://www.naun.org/cms.action?id=3043310202231020221610.46300/10.46300/91012.2022.16https://npublications.com/journals/energyenvironment/2022.phpM.FabrizioDepartment of Mathematics, University of Bologna, Bologna, ItalyThe subject of this research is the presentation of a model for studying the integration of migration flows with the resident population. The basic element for social cohesion is the cultural level of the people involved. In this study, we hypothesize a similarity between diffusion laws of the heat and culture, represented respectively by equations on the knowledge and temperature. The integration of migration flows is described by the use of the Cahn-Hilliard equation.3102022310202235377https://npublications.com/journals/energyenvironment/2022/a142011-007(2022).pdf10.46300/91012.2022.16.7https://npublications.com/journals/energyenvironment/2022/a142011-007(2022).pdfC. Argyris and D. Schon, Organizational Learning: a Theory of Action Perspective, Reading, Menlo.Park:Addison-Wesley,1978. 10.1002/mma.1432A. Berti, I. Bochicchio, A mathematical model for phase separation: A generalized Cahn-Hilliard equation, Math.Meth.Appl.Sci. (2011). L. Bevilacqua, A. C. Galeao, F. Pietrobon-Costa, S. L. Monteiro. Knowl- ˜ edge diffusion paths in a research chain. Mecanica Computacional. Vol. 24, 2061-2069. 2010. 10.1017/s0956792500002369J.W. Cahn, C. M. Elliott and A. Novik–Cohen, The Cahn–Hilliard equation with a concentration dependent mobility: motion of minus Laplacian of the mean curvature, European J. Appl. Math. 7, No.3, 287-301. L.L. Cavalli-Sforza and M. Feldman, Cultural Transmission and Evolution, Princeton: Princeton University Press. 1981 E. Collett, Immigrant Integration in Europe in a Time of Austerity. Migration Policy Institute. Washington 2011 10.1016/j.euromechflu.2010.12.003M. Fabrizio, C. Giorgi and A. Morro, Phase separation in quasiincompressible Cahn–Hilliard fluids, European Journal of Mechanics B/Fluids 30 (2011), 281—287 M. Fabrizio, J. Munoz Rivera, An integration model for two different ethnic groups, In press on Evolution Equations and Control Theory. 10.1016/0167-2789(95)00173-5M.E. Gurtin, Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance, Physica D 92 (1996), 178-192. G. Hedlund, A model of knowledge management and the N-Form corporation, Strategic Management Journal, 15, 73-90,1994