The gradient flow motion of boundary vortices

DOI10.1016/j.anihpc.2005.12.002zbMath1114.35022OpenAlexW2091548383MaRDI QIDQ877004

Matthias W. Kurzke

Publication date: 19 April 2007

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2007__24_1_91_0

zbMATH Keywords

singularitiesgamma convergencethin magnetic films

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space ⋮ Passing from bulk to bulk-surface evolution in the Allen-Cahn equation ⋮ On elliptic equations with singular potentials and nonlinear boundary conditions ⋮ An effective model for boundary vortices in thin-film micromagnetics ⋮ The effect of forest dislocations on the evolution of a phase-field model for plastic slip ⋮ Global Jacobian and \(\Gamma\)-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices ⋮ Ginzburg-Landau vortices driven by the Landau-Lifshitz-Gilbert equation ⋮ A variational model for dislocations in the line tension limit ⋮ Asymptotic behavior of Allen-Cahn-type energies and Neumann eigenvalues via inner variations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Phase transition with the line-tension effect
• The Peierls-Nabarro and Benjamin-Ono equations
• Topological methods for the Ginzburg-Landau equations
• Dynamics of Ginzburg-Landau vortices
• Boundary vortices for thin ferromagnetic films
• A product-estimate for Ginzburg-Landau and corollaries
• Boundary vortices in thin magnetic films
• A variational model for dislocations in the line tension limit
• Another thin-film limit of micromagnetics
• A nonlocal singular perturbation problem with periodic well potential
• LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART II
• Gamma-convergence of gradient flows with applications to Ginzburg-Landau
• Moving boundary vortices for a thin-film limit in micromagnetics
• A reduced theory for thin-film micromagnetics
• THIN LAYERS IN MICROMAGNETISM
• Some dynamical properties of Ginzburg-Landau vortices
• LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART I
• Effective dynamics for ferromagnetic thin films: a rigorous justification
• Layer solutions in a half‐space for boundary reactions
• Variational convergence for functionals of Ginzburg-Landau type
• Ginzburg-Landau vortices