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Gamma‐convergence of gradient flows with applications to Ginzburg‐Landau

- E. Sandier, S. Serfaty
- Mathematics
- 1 December 2004

We present a method to prove convergence of gradient flows of families of energies that Γ‐converge to a limiting energy. It provides lower‐bound criteria to obtain the convergence that correspond to… Expand

Vortices in the Magnetic Ginzburg-Landau Model

- E. Sandier, S. Serfaty
- Physics
- 19 December 2006

With the discovery of type-II superconductivity by Abrikosov, the prediction of vortex lattices, and their experimental observation, quantized vortices have become a central object of study in… Expand

Bogoliubov Spectrum of Interacting Bose Gases

- Mathieu Lewin, P. T. Nam, S. Serfaty, J. P. Solovej
- Physics
- 12 November 2012

We study the large‐N limit of a system of N bosons interacting with a potential of intensity 1/N. When the ground state energy is to the first order given by Hartree's theory, we study the next… Expand

A deterministic‐control‐based approach motion by curvature

- R. Kohn, S. Serfaty
- Mathematics
- 1 March 2006

The level‐set formulation of motion by mean curvature is a degenerate parabolic equation. We show that its solution can be interpreted as the value function of a deterministic two‐person game. More… Expand

Gamma-convergence of gradient flows on Hilbert and metric spaces and applications

- S. Serfaty
- Mathematics
- 1 September 2011

We are concerned with -convergence of gradient ows, which is a notion meant to ensure that if a family of energy functionals depending of a parameter -converges, then the solutions to the associated… Expand

Higher‐Dimensional Coulomb Gases and Renormalized Energy Functionals

- N. Rougerie, S. Serfaty
- Physics
- 10 July 2013

We consider a classical system of n charged particles in an external confining potential in any dimension d ≥ 2. The particles interact via pairwise repulsive Coulomb forces and the coupling… Expand

From the Ginzburg-Landau Model to Vortex Lattice Problems

- E. Sandier, S. Serfaty
- Mathematics, Physics
- 20 November 2010

TLDR

Coulomb Gases and Ginzburg - Landau Vortices

- S. Serfaty
- Physics
- 26 March 2014

These are the lecture notes of a "Nachdiplomvorlesung" course taught at ETH Zurich in the Spring of 2013. They appeared in the EMS series Zurich Lectures in Advanced Mathematics.

Néel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations

- F. Alouges, T. Riviére, S. Serfaty
- Mathematics
- 1 June 2002

We study a two-dimensional model for micromagnetics, which consists in an energy functional over S 2 -valued vector fields. Bounded-energy configurations tend to be planar, except in small regions… Expand

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