Nonlinear Evolution Equations with Anomalous Diffusions
نویسندگان
چکیده
French and Polish teams have a record of successful collaborations which resulted in methods and results that are actually attracting a growing interest of the applied mathematics community. In this new project, the participants aim at understanding the role of anomalous diffusions in two important classes of nonlinear evolution equations: kinetic equations with a Lévy-Fokker-Planck operator and fractal conservation laws. Among possible applications, both teams are specifically interested in mathematical biology (models of aggregation of cells involving nonlocal effects, which are of interest for instance in the understanding of tumor growth), and in the study of the dynamics of dislocations, in crystals.
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