Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow
DOI10.4171/AIHPC/24MaRDI QIDQ2693529
Publication date: 21 March 2023
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.12378
Singular perturbations in context of PDEs (35B25) Vortex flows for incompressible inviscid fluids (76B47) Nonlinear ordinary differential equations and systems (34A34) NLS equations (nonlinear Schrödinger equations) (35Q55) Turbulence (76F99) Curves in Euclidean and related spaces (53A04) Time-dependent Schrödinger equations and Dirac equations (35Q41) Euler equations (35Q31)
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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.
- Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
- A numerical study of superfluid turbulence in the self-induction approximation
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- On the complete integrability of a nonlinear Schrödinger equation
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Global wellposedness for 1D nonlinear Schrödinger equation for data with an infinite \(L^2\) norm
- On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation
- A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line
- Conserved energies for the cubic nonlinear Schrödinger equation in one dimension
- On the ill-posedness of some canonical dispersive equations.
- On the stability of self-similar solutions of 1D cubic Schrödinger equations
- Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces
- Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
- Low regularity conservation laws for integrable PDE
- Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations
- Evolution of polygonal lines by the binormal flow
- The initial value problem for the binormal flow with rough data
- MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS
- Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data
- Shape-preserving solutions for quantum vortex motion under localized induction approximation
- Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- 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
- Self-similar solutions of the localized induction approximation: singularity formation
- 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†
- Geometric constraints on potentially
- On the energy of critical solutions of the binormal flow
- The cubic szego equation and hankel operators
- A soliton on a vortex filament
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