141 citations · 518 across the 34 of their papers we have counts for
47 papers
Vortex lines interaction in the three-dimensional magnetic Ginzburg--Landau model
Carlos Román, Etienne Sandier, Sylvia Serfaty
We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter …
Modulated logarithmic Sobolev inequalities and generation of chaos
Matthew Rosenzweig, Sylvia Serfaty
We consider mean-field limits for overdamped Langevin dynamics of particles with possibly singular interactions. It has been shown that a modulated free energy method can be us…
Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows
Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty
We consider conservative and gradient flows for -particle Riesz energies with mean-field scaling on the torus , for , and with thermal noise of McKean-Vla…
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…