On the interaction of nearly parallel vortex filaments

DOI10.1007/s00220-003-0983-5zbMath1073.76014OpenAlexW1987581535MaRDI QIDQ2567481

Carlos E. Kenig, Gustavo Ponce, Luis Vega

Publication date: 5 October 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-003-0983-5

zbMATH Keywords

local existenceglobal existence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Braids of the \(N\)-body problem. II: Carousel solutions by cabling central configurations ⋮ On the stability of nearly parallel vortex filaments ⋮ Singular dynamics under a weak potential on a sphere ⋮ Nearly parallel vortex filaments in the 3D Ginzburg-Landau equations ⋮ Standing waves in a counter-rotating vortex filament pair ⋮ Monotonicity and asymptotic analysis of the period function of nearly parallel vortex filaments model ⋮ Collision of Almost Parallel Vortex Filaments ⋮ Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems ⋮ Interacting helical traveling waves for the Gross-Pitaevskii equation ⋮ Standing waves of fixed period for \(n+1\) vortex filaments ⋮ Collisions of vortex filament pairs ⋮ Approximation theorems for the Schrödinger equation and quantum vortex reconnection ⋮ Standing waves in near-parallel vortex filaments ⋮ Global existence and collisions for symmetric configurations of nearly parallel vortex filaments ⋮ Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation ⋮ Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation ⋮ The monotonicity of the apsidal angle in power-law potential systems

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