Dynamics of Ginzburg-Landau vortices for vector fields on surfaces
DOI10.1016/j.jfa.2023.110156zbMath1529.35486arXiv2108.01321OpenAlexW3191167316MaRDI QIDQ6056513
Giacomo Canevari, Antonio Segatti
Publication date: 2 October 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.01321
Ginzburg-Landau\(\Gamma\)-convergencegradient flow of the renormalized energyvector fields on surfaces
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Methods involving semicontinuity and convergence; relaxation (49J45) Harmonic maps, etc. (58E20) Flows on surfaces (37E35) Ginzburg-Landau equations (35Q56) PDEs on manifolds (35R01) Pattern formations in context of PDEs (35B36)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds
- Morse's index formula in VMO for compact manifolds with boundary
- Defects in nematic shells: a \(\Gamma\)-convergence discrete-to-continuum approach
- The imbedding problem for Riemannian manifolds
- Vortices in the magnetic Ginzburg-Landau model
- Functional analysis, Sobolev spaces and partial differential equations
- On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
- Lower bounds for the energy of unit vector fields and applications
- Dynamics of Ginzburg-Landau vortices
- Liquid crystals and their defects
- A product-estimate for Ginzburg-Landau and corollaries
- Degree theory of BMO. I: Compact manifolds without boundaries
- Total bending of vector fields on Riemannian manifolds
- Motion of vortices for the extrinsic Ginzburg-Landau flow for vector fields on surfaces
- Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach
- Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu)
- A geometrical mass and its extremal properties for metrics on \(S^2\)
- Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds
- Analysis of a variational model for nematic shells
- Lower Bounds for Generalized Ginzburg--Landau Functionals
- Gamma-convergence of gradient flows with applications to Ginzburg-Landau
- Rectifiability of the distributional Jacobian for a class of functions
- On the Slow Motion of Vortices in the Ginzburg–Landau Heat Flow
- Some dynamical properties of Ginzburg-Landau vortices
- Riemannian Geometry
- Variational convergence for functionals of Ginzburg-Landau type
- Ginzburg-Landau vortices
This page was built for publication: Dynamics of Ginzburg-Landau vortices for vector fields on surfaces