1-D cubic NLS with several Dirac masses as initial data and consequences
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Publication:2053932
DOI10.5802/slsedp.118zbMath1475.35310OpenAlexW2897865518WikidataQ129160387 ScholiaQ129160387MaRDI QIDQ2053932
Publication date: 30 November 2021
Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/slsedp.118
Cites Work
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- On the motion of a curve by its binormal curvature
- On the vortex filament conjecture for Euler flows
- Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.
- Scattering for 1D cubic NLS and singular vortex dynamics
- A numerical study of superfluid turbulence in the self-induction approximation
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- Solvability of the localized induction equation for vortex motion
- Solvability of equations for motion of a vortex filament with or without axial flow
- Global wellposedness for 1D nonlinear Schrödinger equation for data with an infinite \(L^2\) norm
- On the ill-posedness of some canonical dispersive equations.
- Low regularity conservation laws for integrable PDE
- Vorticity and Incompressible Flow
- The initial value problem for the binormal flow with rough data
- Vortex filament equation for a regular polygon
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- There is More than One Way to Frame a Curve
- Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity
- Dynamics of coherent structures and transition to turbulence in free square jets
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces
- Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces
- Quasi-static solutions for quantum vortex motion under the localized induction approximation
- Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation†
- On the energy of critical solutions of the binormal flow
- Vortex Dynamics
- A soliton on a vortex filament
- Three-dimensional distortions of a vortex filament with axial velocity
