141 citations · 518 across the 34 of their papers we have counts for
4 papers · 1 filter
Compactness and structure of zero-states for unoriented Aviles-Giga functionals
Michael Goldman, Benoit Merlet, Marc Pegon +1
Motivated by some models of pattern formation involving an unoriented director field in the plane, we study a family of unoriented counterparts to the Aviles-Giga functional. We in…
Bounded vorticity for the 3D Ginzburg-Landau model and an isoflux problem
Carlos Román, Etienne Sandier, Sylvia Serfaty
We consider the full three-dimensional Ginzburg-Landau model of superconductivity with applied magnetic field, in the regime where the intensity of the applied field is close to th…
Global-in-time mean-field convergence for singular Riesz-type diffusive flows
Matthew Rosenzweig, Sylvia Serfaty
We consider the mean-field limit of systems of particles with singular interactions of the type or , with , and with an additive noise in dimensions…
Mean-field limits of Riesz-type singular flows
Quoc Hung Nguyen, Matthew Rosenzweig, Sylvia Serfaty
We provide a proof of mean-field convergence of first-order dissipative or conservative dynamics of particles with Riesz-type singular interaction (the model interaction is an inve…