Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow. I: Study of the perturbed Ginzburg-Landau equation
From MaRDI portal
Publication:997825
DOI10.4171/JEMS/77zbMath1176.35096MaRDI QIDQ997825
Publication date: 7 August 2007
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=9&iss=2&rank=1
Related Items
A model for vortex nucleation in the Ginzburg-Landau equations ⋮ Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations ⋮ Vortex dynamics in the presence of excess energy for the Landau-Lifshitz-Gilbert equation ⋮ Limiting motion for the parabolic Ginzburg-Landau equation with infinite energy data ⋮ Ginzburg-Landau vortex dynamics with pinning and strong applied currents ⋮ Ginzburg-Landau vortex dynamics driven by an applied boundary current ⋮ Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach ⋮ VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION
Cites Work
- Vortices in the magnetic Ginzburg-Landau model
- Quantization and motion law for Ginzburg-Landau vortices
- Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
- Lower bounds for the energy of unit vector fields and applications
- Topological methods for the Ginzburg-Landau equations
- Vortices for a variational problem related to superconductivity
- Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow
- Locally minimising solutions of − Δu = u(1 − |u|2) in R2
- Gamma-convergence of gradient flows with applications to Ginzburg-Landau
- Stability in 2D Ginzburg-Landau passes to the limit
- Phase field model with a variable chemical potential
- On the Slow Motion of Vortices in the Ginzburg–Landau Heat Flow
- Vortex annihilation in nonlinear heat flow for Ginzburg–Landau systems
- Some dynamical properties of Ginzburg-Landau vortices
- Minimizing properties of arbitrary solutions to the Ginzburg–Landau equation
- Ginzburg-Landau vortices
- Unnamed Item
- Unnamed Item
