18 citations · 84 across the 18 of their papers we have counts for
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Weighted TV minimization and applications to vortex density models
Prashant Athavale, Robert L. Jerrard, Matteo Novaga +1
Motivated in part by models arising from mathematical descriptions of Bose-Einstein condensation, we consider total variation minimization problems in which the total variation is…
Vortex density models for superconductivity and superfluidity
Sisto Baldo, Robert L. Jerrard, Giandomenico Orlandi +1
We study some functionals that describe the density of vortex lines in superconductors subject to an applied magnetic field, and in Bose-Einstein condensates subject to rotational…
Lorentzian varifolds and applications to closed relativistic strings
Giovanni Bellettini, Matteo Novaga, Giandomenico Orlandi
We develop a suitable generalization of Almgren's theory of varifolds in a lorentzian setting, focusing on area, first variation, rectifiability, compactness and closure issues. Mo…
Convergence of Ginzburg-Landau functionals in 3-d superconductivity
Sisto Baldo, Robert L. Jerrard, Giandomenico Orlandi +1
In this paper we consider the asymptotic behavior of the Ginzburg- Landau model for superconductivity in 3-d, in various energy regimes. We rigorously derive, through an analysis v…
Compactness and convexity results for closed relativistic strings
G. Bellettini, J. Hoppe, M. Novaga +1
We study various properties of closed relativistic strings. In particular, we characterize their closure under uniform convergence, extending a previous result by Y. Brenier on gra…
Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations
G. Bellettini, M. Novaga, G. Orlandi
We consider the sharp interface limit of the semilinear wave equation in , where takes values in , $…