141 citations · 518 across the 34 of their papers we have counts for
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math.AP2017★ 13 cited
Quantitative stability of the free boundary in the obstacle problem
Sylvia Serfaty, Joaquim Serra
We prove some detailed quantitative stability results for the contact set and the solution of the classical obstacle problem in () under perturbations of th…
math.AP2017
A branched transport limit of the Ginzburg-Landau functional
Sergio Conti, Michael Goldman, Felix Otto +1
We study the Ginzburg-Landau model of type-I superconductors in the regime of small external magnetic fields. We show that, in an appropriate asymptotic regime, flux patterns are d…
math.AP2017★ 2 cited
Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing
Mitia Duerinckx, Sylvia Serfaty
We consider the time-dependent 2D Ginzburg-Landau equation in the whole plane with terms modeling impurities and applied currents. The Ginzburg-Landau vortices are then subjected t…