Abstract: In this series of lectures, using the notion of Γ-convergence as introduced by De Giorgi in 1975 (see [27]), we derive the variational model for phase tran- sitions between two fluids as an asymptotic limit of a family of Cahn-Hilliard energies (also known as the Modica-Mortola functional, in the mathemat- ical community). We will then consider a variational model for the in- teraction between homogenization and phase separation when small scale heterogeneities are present in the fluids.
Γ-Convergence and Phase Transitions of Heterogeneous Materials
11.04.2024 11:00 - 25.04.2024 14:00
Organiser:
U. Stefanelli
Location:
ESI, Schrödinger Lecture Hall, Boltzmanngasse 9/2, 1090 Wien
Related Files
- Fonseca_SRF_SS2024.pdf 105 KB