Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation

DOI10.1007/s00526-021-01984-wzbMath1472.35358arXiv2006.03827OpenAlexW3174708015WikidataQ114229007 ScholiaQ114229007MaRDI QIDQ2037126

Didier Smets, Robert Leon Jerrard

Publication date: 30 June 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03827

zbMATH Keywords

Euler equationGross-Pitaevskii equationvortex filamentsincompressible fluids

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Viscous vortex flows (76D17) Euler equations (35Q31)

Related Items (3)

Travelling helices and the vortex filament conjecture in the incompressible Euler equations ⋮ Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows ⋮ Interacting helical traveling waves for the Gross-Pitaevskii equation

Cites Work

• Unnamed Item
• Unnamed Item
• Standing waves in near-parallel vortex filaments
• Global existence and collisions for symmetric configurations of nearly parallel vortex filaments
• Vortices in the magnetic Ginzburg-Landau model
• Refined Jacobian estimates and Gross-Pitaevsky vortex dynamics
• Harmonic maps with defects
• Vortex dynamics for the Ginzburg-Landau wave equation
• Mathematical theory of incompressible nonviscous fluids
• The Jacobian and the Ginzburg-Landau energy
• Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation
• Nearly parallel vortex filaments in the 3D Ginzburg-Landau equations
• Vortices and localization in Euler flows
• A product-estimate for Ginzburg-Landau and corollaries
• On the linear stability of vortex columns in the energy space
• Spectral stability of inviscid columnar vortices
• Time evolution of concentrated vortex rings
• On the interaction of nearly parallel vortex filaments
• Collision of Almost Parallel Vortex Filaments
• Renormalized energy of interacting Ginzburg-Landau vortex filaments
• Equilibrium statistical theory for nearly parallel vortex filaments
• Simplified equations for the interaction of nearly parallel vortex filaments
• Ginzburg-Landau vortices

This page was built for publication: Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation