Cover Image

Hasimoto frames and the Gibbs measure of periodic nonlinear Schrödinger Equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Blower, Gordon, Khaleghi, Azadeh, Kuchemann-Scales, Moe
Format:	Preprint
Published:	2022
Subjects:	Analysis of PDEs Probability 35Q82, 37L55, 35Q55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Concentration of the invariant measures for the periodic Zakharov, KdV, NLS and Gross--Piatevskii equations in 1D and 2D
by: Blower, Gordon
Published: (2015)

Gibbs dynamics for fractional nonlinear Schrödinger equations with weak dispersion
by: Liang, Rui, et al.
Published: (2023)

On growth of Sobolev norms for periodic nonlinear Schrödinger and generalised Korteweg-de Vries equations under critical Gibbs dynamics
by: Höfer, Fabian, et al.
Published: (2024)

One-dimensional wave kinetic theory
by: Vassilev, Katja D.
Published: (2024)

On the wellposedness for periodic nonlinear Schrödinger equations with white noise dispersion
by: Stewart, Gavin
Published: (2022)

Scattering for the dispersion managed nonlinear Schrödinger equation
by: Choi, Mi-Ran, et al.
Published: (2024)

Remarks on nonlinear dispersive PDEs with rough dispersion management
by: Robert, Tristan
Published: (2024)

On the long-time statistical behavior of smooth solutions of the weakly damped, stochastically-driven KdV equation
by: Glatt-Holtz, Nathan, et al.
Published: (2021)

Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations
by: Ammari, Zied, et al.
Published: (2024)

Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case
by: Cheng, Xing, et al.
Published: (2014)

Cnoidal Waves for the cubic nonlinear Klein-Gordon and Schrödinger Equations
by: de Loreno, Guilherme, et al.
Published: (2021)

A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation
by: Rout, Andrew, et al.
Published: (2022)

A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schrödinger equation
by: Rout, Andrew, et al.
Published: (2023)

Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schrödinger equation
by: Başakoğlu, Engin, et al.
Published: (2025)

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schrödinger equation in infinite volume
by: Bringmann, Bjoern, et al.
Published: (2025)

On the well-posedness of the intermediate nonlinear Schrödinger equation on the line
by: Chapouto, Andreia, et al.
Published: (2025)

Global well-posedness for the defocusing cubic nonlinear Schrödinger equation on $\Bbb T^3$
by: Song, Yilin, et al.
Published: (2024)

Regularization by noise for some strongly non-resonant modulated dispersive PDEs
by: Robert, Tristan
Published: (2024)

A Unified Integral Equation Approach to Conservation Laws for Nonlinear Schrödinger Equations
by: Machihara, Shuji, et al.
Published: (2026)

Invariant Gibbs dynamics for the nonlinear Schrödinger equations on the disc
by: Forlano, Justin, et al.
Published: (2025)

Exponential mixing for nonlinear Schrödinger equations perturbed by bounded degenerate noise
by: Chen, Yuxuan, et al.
Published: (2026)

Well-posedeness for the non-isotropic Schrödinger equations on cylinders and periodic domains
by: Nogueira, Adán J. Corcho. Marcelo, et al.
Published: (2024)

Well-posedness and ill-posedness for a system of periodic quadratic derivative nonlinear Schrödinger equations
by: Hirayama, Hiroyuki, et al.
Published: (2024)

The uniqueness of the ground state and the dynamics of nonlinear Schrödinger equation with inverse square potential
by: Yang, Kai, et al.
Published: (2026)

Blow-up results for Inhomogeneous fourth-order nonlinear Schrödinger Equation
by: Scarpelli, Renzo, et al.
Published: (2025)

Absence of embedded spectrum for nonlinear Schrödinger equations linearized around one dimensional ground states
by: Collot, Charles, et al.
Published: (2025)

Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations
by: Başakoğlu, Engin, et al.
Published: (2025)

Random dynamics of solutions for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded Poincaré domains
by: Kinra, Kush, et al.
Published: (2024)

Rate of convergence of random attractors towards deterministic singleton attractor for a class of non-Newtonian fluids of differential type
by: Kinra, Kush
Published: (2026)

Dispersive decay for the energy-critical nonlinear Schrödinger equation
by: Kowalski, Matthew
Published: (2024)

Partial mass dynamics of the defocussing nonlinear Schrödinger equation
by: Liu, Jiaqi, et al.
Published: (2024)

Fractional nonlinear Schrödinger and Hartree equations in modulation spaces
by: Bhimani, Divyang G., et al.
Published: (2024)

Averaging of strong magnetic nonlinear Schrödinger equations in the energy space
by: Kawakami, Jumpei
Published: (2022)

Critical local well-posedness of the nonlinear Schrödinger equation on the torus
by: Kwak, Beomjong, et al.
Published: (2024)

Global well-posedness, scattering and blow-up for the energy-critical, Schrödinger equation with indefinite potential in the radial case
by: Wang, Jun, et al.
Published: (2024)

On the cubic-quintic Schrödinger equation
by: Baldelli, Laura
Published: (2025)

Infinite dimensional invariant tori for nonlinear Schrödinger equations
by: Bernier, Joackim, et al.
Published: (2024)

Rigorous derivation of damped-driven wave turbulence theory
by: Grande, Ricardo, et al.
Published: (2024)

On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schrödinger equation
by: Badreddine, Rana
Published: (2023)

Global well-posedness of the energy-critical nonlinear Schrödinger equations on $\mathbb{T}^{d}$
by: Kwak, Beomjong
Published: (2024)