Analisi MaTÉmatica allo SBAI
Giovedì 7 Novembre 2019 - Aula 1B1
Ore 14.15 Giuseppe Viglialoro (Univ. Di Cagliari)
Basic concepts and analyses on Keller-Segel-type systems modeling chemotaxis.
Abstract: Chemotaxis is the motor reaction of an organism (cells, bacteria, and other single-cell or multicellular organisms) distributed in a certain environment in response to a chemical stimulus also present therein. In this seminar we present the landmarking chemotaxis model, proposed by Keller and Segel in 1970, and described by means of two coupled partial differential equations. Once some of its generalizations are briefly discussed, for a simplified version we give mathematical details indicating how the behavior of solutions to the corresponding system is intimately connected to the data of the problem.
Ore 15.20. María Medina de la Torre (Univ. De Granada)
Helicoidal vortex filaments for the three dimensional Ginzburg-Landau equation
Abstract: In this talk we will construct new entire solutions of the Ginzburg-Landau equation in dimension 3. These solutions are screw-symmetric and have two vortex filaments clustering near the e3-axis.