Limiting motion for the parabolic Ginzburg-Landau equation with infinite energy data
From MaRDI portal
Publication:514303
DOI10.1007/s00220-016-2736-2zbMath1360.35259arXiv1512.00175OpenAlexW3106332907MaRDI QIDQ514303
Publication date: 1 March 2017
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.00175
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unbounded solutions to defocusing parabolic systems.
- Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
- Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics
- Quantization and motion law for Ginzburg-Landau vortices
- Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow. I: Study of the perturbed Ginzburg-Landau equation
- On the evolution of harmonic maps in higher dimensions
- Existence and partial regularity results for the heat flow for harmonic maps
- Ginzburg-Landau equation and motion by mean curvature. I: Convergence
- Scaling limits and regularity results for a class of Ginzburg-Landau systems
- Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
- The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. II: Contraction methods
- Dynamics of Ginzburg-Landau vortices
- The Jacobian and the Ginzburg-Landau energy
- On moving Ginzburg-Landau vortices
- The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods
- Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow
- Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature
- Mappings with bounded deformation as extremals of Dirichlet type integrals
- estimates for solutions to the Ginzburg–Landau equation with boundary data in
- Convergence of minimizers with local energy bounds for the Ginzburg-Landau functionals
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds
- Elliptic regularization and partial regularity for motion by mean curvature
- Uniform estimates for the parabolic Ginzburg–Landau equation
- Vortex Motion Law for the Schrödinger--Ginzburg--Landau Equations
- Gamma-convergence of gradient flows with applications to Ginzburg-Landau
- A Quantization Property for Moving Line Vortices
- Vortex dynamics of the full time‐dependent Ginzburg‐Landau equations
- Some dynamical properties of Ginzburg-Landau vortices
- Ginzburg-Landau vortices
- Dynamics of multiple degree Ginzburg-Landau vortices
- Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions
This page was built for publication: Limiting motion for the parabolic Ginzburg-Landau equation with infinite energy data