Title
Nonlocal effects in the degenerate Cahn-Hilliard equation
Abstract
I will discuss several situations when one has to perform limit passage from non-local to local operators in the context of the degenerate Cahn-Hilliard equation. This includes the kinetic derivation of the equation (arXiv:2208.01026, Comm. Math. Phys., with C. Elbar, M. Mason, B. Perthame), the fairly classical problem of passage to the limit from non-local to local equation (arXiv:2208.08955, with C. Elbar) and the same problem for aggregation-diffusion system (arXiv: 2303.11929, together with J. A. Carrillo, C. Elbar). Not all of these problems are fully understood and for some of them, solutions are available only on the torus.
Please note that the seminar will take place in person in room 140 of Huxley Building.