On the NLS dynamics for infinite energy vortex configurations on the plane

DOI10.4171/RMI/552zbMath1180.35045MaRDI QIDQ951995

Fabrice Bethuel, Didier Smets, Robert Leon Jerrard

Publication date: 5 November 2008

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1218475359

zbMATH Keywords

vortex dynamicsNLS equationsuperfluids

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Perturbations in context of PDEs (35B20)

Related Items (11)

Smooth branch of travelling waves for the Gross-Pitaevskii equation in R2 for small speed ⋮ Multiple branches of travelling waves for the Gross–Pitaevskii equation ⋮ On the stability of the Ginzburg–Landau vortex ⋮ Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum ⋮ An intrinsically hydrodynamic approach to multidimensional QHD systems ⋮ Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities ⋮ Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations ⋮ On the characterization of vortex configurations in the steady rotating Bose–Einstein condensates ⋮ Mean field limits for Ginzburg-Landau vortices ⋮ On the linear wave regime of the Gross-Pitaevskii equation ⋮ Hydrodynamic Limit of the Gross-Pitaevskii Equation

Cites Work

• Unnamed Item
• Unnamed Item
• A remark on the Cauchy problem for the 2D Gross-Pitaevskii equation with nonzero degree at infinity.
• Some properties of solutions of the Ginzburg-Landau equation on an open set of \(\mathbb{R}^ 2\)
• Refined Jacobian estimates and Gross-Pitaevsky vortex dynamics
• On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation
• The Jacobian and the Ginzburg-Landau energy
• On uniqueness of vector-valued minimizers of the Ginzburg-Landau functional in annular domains
• Refined Jacobian estimates for Ginzburg-Landau functionals
• Small energy solutions to the Ginzburg–Landau equation
• Threshold transition energies for Ginzburg-Landau functionals
• BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION
• Ginzburg-Landau vortices
• Dynamics of multiple degree Ginzburg-Landau vortices

This page was built for publication: On the NLS dynamics for infinite energy vortex configurations on the plane