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He is known for his contribution to real analysis, partly collected in his book "Fondamenti per la teorica delle funzioni di variabili reali".Dini attended the Scuola Normale Superiore in order to become a teacher. In 1865, a scholarship enabled him to visit Paris, where he studied under Charles Hermite as well as Joseph Bertrand, and published several papers.In 1866, he was appointed to the University of Pisa, where he taught algebra and geodesy.In 1871, he succeeded Betti as professor for analysis and geometry.In this paper, we develop some considerations concerning the structure of coalescence, breakage and volume ‘scattering’ kernels appearing in the evolution equation related to a new model for the dynamics of liquid–liquid dispersions and show some numerical simulations.

The mathematical model has been presented in [3, 4], where a proof of the existence and uniqueness for a classical solution to the integro–differential equation describing the physical phenomenon is provided as well as a complete analysis of the general characteristics of the integral kernels.Numerical simulations agree with experimental data and with the expected asymptotical behavior of the solution. If your browser does not accept cookies, you cannot view this site.There are many reasons why a cookie could not be set correctly.Below are the most common reasons: This site uses cookies to improve performance by remembering that you are logged in when you go from page to page.To provide access without cookies would require the site to create a new session for every page you visit, which slows the system down to an unacceptable level.