Gamma‐convergence of gradient flows with applications to Ginzburg‐Landau
By Etienne Sandier, Sylvia Serfaty. 2004
343 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/f30d0456ba3ef2737965ebb1da539889f9a9521a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Zhenfu Wang
- Pierre-Emmanuel Jabin
- Alexander Mielke
- Mark A. Peletier
- Ulisse Stefanelli
- Sylvia Serfaty
- Michiel Renger
- Tim Laux
In Computational Theory and Mathematics
- Alexander Mielke
- Sylvia Serfaty
- Ulisse Stefanelli
- Pierre-Emmanuel Jabin
- Zhenfu Wang
- Tomás Roubícek
- Mark A. Peletier
- Michiel Renger
Citations in the corpus
- On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion (2013, positive): “A gradient-flow structure can be exploited to obtain additional information about the evolution, such as existence and stability of solutions (see e.g. the survey [AGS08]), or to derive limiting equations if some system parameter goes to zero [SS04, AMP + 12, Mie13a].”
- Γ-limits and relaxations for rate-independent evolutionary problems (2008, background): “Only recently, a systematic study for gradient flows was initialized in [36,38–41].”
- Quantitative estimates of propagation of chaos for stochastic systems with W-1,∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{d (2017, methodology): “We should also mention here the techniques developed by [79,81] for nonconvex setting.”
- Convergence of the thresholding scheme for multi-phase mean-curvature flow (2016, background): “Incidentally, it is easy to see that Γ-convergence of the energy functionals is not sufficient for the convergence of the corresponding gradient flows; Sandier and Serfaty [36] have identified sufficient conditions on both the functional and the metric tensor for this to be true.”
- Gamma-convergence of gradient flows on Hilbert and metric spaces and applications (2011, methodology): “Let us now state the result in [40] in a slightly simplified form:”