Evolution of polygonal lines by the binormal flow
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Publication:2658700
DOI10.1007/s40818-020-0078-zzbMath1462.35279arXiv1807.06948OpenAlexW3029329101MaRDI QIDQ2658700
Publication date: 23 March 2021
Published in: Annals of PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.06948
PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55) Curves in Euclidean and related spaces (53A04) Euler equations (35Q31) Compressible Navier-Stokes equations (76N06)
Related Items (15)
Riemann's non-differentiable function and the binormal curvature flow ⋮ On the one dimensional cubic NLS in a critical space ⋮ Vortex Filament Solutions of the Navier‐Stokes Equations ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ On the Evolution of the Vortex Filament Equation for Regular $M$-Polygons with Nonzero Torsion ⋮ Numerical Integration of Schrödinger Maps via the Hasimoto Transform ⋮ Blow-up for the 1D cubic NLS ⋮ Local well-posedness of the skew mean curvature flow for small data in \(d \geqq 2\) dimensions ⋮ Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow ⋮ On the energy of critical solutions of the binormal flow ⋮ Intermittency of Riemann’s non-differentiable function through the fourth-order flatness ⋮ Unnamed Item ⋮ Vortex filament equation for a regular polygon in the hyperbolic plane ⋮ Uniqueness criteria for the Oseen vortex in the 3d Navier-Stokes equations ⋮ On the Schrödinger map for regular helical polygons in the hyperbolic space
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