ANR project SING
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Singularities of energy-minimizing vector-valued maps
This project seeks to improve the mathematical understanding of singularities in condensed matter physics, where equilibrium states are described by vector-valued maps minimizing an energy functional.
We focus on three main aspects:
1) manifold-valued maps minimizing anisotropic energies, for
which crucial algebraic identities associated with isotropy are lost;
2) smooth profiles describing the fine structure of
singularities, for which many existence, uniqueness, symmetry and stability issues are open;
3) interparticle-like interactions of
singularities predicted by renormalized energies.
Members
Laurent Bétermin
Giacomo Canevari
Radu Ignat
Xavier Lamy (coordinator)
Antonin Monteil
Rémy Rodiac
Simona Rota Nodari
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