Nonlinearity, Complexity and Foundations in Mathematics - 11 settembre 2024
Nonlinear phenomena in partial differential equations have long fascinated the mathematical community. On one hand, it is possible to address them mathematically using topological and critical point techniques that allow a strong geometric intuition when dealing with these problems. On the other hand, they are linked to complex physical phenomena, and they occasionally exhibit surprising behaviors which require a rethinking of the mathematical approach from the very foundations. This conference aims to bring together experts in these topics, including not only analysts who work on the more classical aspects of solution studies, but also physicists, mathematical physicists, engineers, and computer scientists who are engaged with the applications of these problems, and logicians and philosophers of science who attempt to rethink the foundations of the theory to obtain a mathematics which is better suited for the study of complex systems.
Andrea Malchiodi, Sharp bounds on the Nusselt number in Rayleigh-Bénard convection 00:00
Marco Degiovanni, Critical groups of functionals associated with quasilinear elliptic problems 31:41
Paolo Grigolini, TBA 1:06:33
Paolo Mancosu, Three applications of Zermelo’s theorem on part-whole 1:29:45
#snssciences #mathematics #nonlinearity