Description of the ground state for a model of two-component rotating Bose–Einstein condensates.

In the joint work with Amandine Aftalion [3], we describe the ground states of a rotating two-component Bose–Einstein condensate in two dimensions. In the regime we consider, both a one-dimensional interface between the two components, and zero-dimensional interfaces (vortices) are present and contribute to the energy. The difficulty is that the two contributions are not of the same order, and to show that they somehow decouple requires a...