| Abstract: |
| In this talk, we present a variational model motivated by lipid raft formation in cellular membranes. The energy combines a short-range attractive interaction, modeled by a Modica--Mortola term, with a long-range repulsive interaction given by a Yukawa kernel. We study minimizers of this functional in a certain parameter regime, in which the competition between these two effects leads to pattern formation. We will present a new $\Gamma$-convergence result. This talk is based on a joint work with Sara Daneri and Eris Runa. |
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