Weekly Seminar
Phase Separation within Composite Structures
Likhit Ganedi (Carnegie-Mellon-University (U.S.A.))
Mon, 23 May 2022
• 12:30-13:30h
• Templergraben 55, lecture hall III
Abstract
A variational model for the interaction between homogenization and phase separation is considered. The focus is on the regime where the latter happens at a smaller scale than the former, and when the wells of the double well potential are allowed to move and to have discontinuities. The zeroth and first order $\Gamma$-limits are identified. The topology considered for the latter is that of two-scale, since it encodes more information on the asymptotic local microstructure. As a corollary, the minimum of the mass constrained minimization problem is characterized in terms of discontinuities of the wells.