Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics
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Publication:812555
DOI10.1215/S0012-7094-05-13034-4zbMath1087.35008OpenAlexW2063067341MaRDI QIDQ812555
Didier Smets, Giandomenico Orlandi, Fabrice Bethuel
Publication date: 24 January 2006
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-05-13034-4
Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (17)
Unnamed Item ⋮ Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds ⋮ Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds ⋮ Slow motion for gradient systems with equal depth multiple-well potentials ⋮ Properties of Screw Dislocation Dynamics: Time Estimates on Boundary and Interior Collisions ⋮ 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 ⋮ Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow ⋮ Mean field limits for Ginzburg-Landau vortices ⋮ Limiting motion for the parabolic Ginzburg-Landau equation with infinite energy data ⋮ Ginzburg-Landau vortex dynamics driven by an applied boundary current ⋮ Refined Jacobian estimates and Gross-Pitaevsky vortex dynamics ⋮ GINZBURG–LANDAU VORTEX LINES AND THE ELASTICA FUNCTIONAL ⋮ Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach ⋮ Dynamics of multiple degree Ginzburg-Landau vortices ⋮ Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains ⋮ VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION
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