Speaker
Description
In this talk, we propose mathematical tools for studying oscillation and concentration effects at infinity in sequences of absolutely continuous functions. These tools can be applied beyond the classical setting, especially in cases where the fundamental theorem of Young measures or the fundamental theorem of H-measures cannot be used. Examples of aforementioned cases have already been studied in papers
A. Raguž, Some results in asymptotic analysis of finite-energy sequences of Cahn-Hilliard functional with non-standard two-well potential, Glas. Mat. (2024) (to appear),
A. Raguž, A priori estimates for finite-energy sequences of Cahn-Hilliard functional with non-standard multi-well potential, Math. Commun. (2024) (to appear),
which deal with asymptotic properties of finite-energy sequences of one-dimensional Cahn-Hilliard functional as a typical example of a problem of minimization of integral functionals with singularly perturbed non-convex integrands. Herein we expand our consideration by presenting further results along the same lines.
