Double Spiral Singularities for a Flow of Regular Planar Curves
From MaRDI portal
Publication:4958017
DOI10.1137/20M1379642zbMath1473.35009arXiv2108.12220MaRDI QIDQ4958017
Publication date: 6 September 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.12220
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularity in context of PDEs (35A21) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)
Cites Work
- Unnamed Item
- On the initial value problem of the second Painleve transcendent
- Self-similar planar curves related to modified Korteweg-de Vries equation
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- The isomonodromic deformation method in the theory of Painlevé equations
- Monodromy- and spectrum-preserving deformations. I
- Global regularity for vortex patches
- Painlevé differential equations in the complex plane
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Vorticity and Incompressible Flow
- Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
- Total integrals of global solutions to Painlevé II
- Solitons, Euler’s equation, and vortex patch dynamics
- Self-similar solutions of the localized induction approximation: singularity formation
- Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation†
- THE METHOD OF ISOMONODROMY DEFORMATIONS AND CONNECTION FORMULAS FOR THE SECOND PAINLEVÉ TRANSCENDENT
- Quasi-linear Stokes phenomenon for the second Painlev transcendent
- Asymptotics for the painlevé II equation
- Connection formulas for the Ablowitz–Segur solutions of the inhomogeneous Painlevé II equation
- Total integrals of Ablowitz‐Segur solutions for the inhomogeneous Painlevé II equation
- Numerical Study of a Flow of Regular Planar Curves That Develop Singularities at Finite Time
- On the curvature and torsion of an isolated vortex filament
- Contour dynamics for the Euler equations in two dimensions
- Solutions of the first and second Painlevé equations are meromorphic
This page was built for publication: Double Spiral Singularities for a Flow of Regular Planar Curves