Cover Image

Numerical evidence for singularity formation in defocusing fractional NLS in one space dimension

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Klein, Christian, Sparber, Christof
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Numerical study of transverse (in-)stability of solitary waves in the cubic-quintic nonlinear Schrödinger equation
by: Klein, Christian, et al.
Published: (2025)

The defocusing energy-supercritical inhomogeneous NLS in four space dimension
by: Liu, Xuan, et al.
Published: (2025)

Semiclassical wave-packets for weakly nonlinear Schrödinger equations with rotation
by: Shen, Xiaoan, et al.
Published: (2024)

Global well-posedness and scattering for defocusing energy-critical inhomogeneous NLS in dimensions $d\ge 3$
by: Yang, Bo, et al.
Published: (2026)

Well-posedness and scattering of odd solutions for the defocusing INLS in one dimension
by: Cui, Zhi-Yuan, et al.
Published: (2025)

Modified wave operators for the defocusing cubic nonlinear Schrödinger equation in one space dimension with large scattering data
by: Kawamoto, Masaki, et al.
Published: (2025)

Nonlinear bound states with prescribed angular momentum
by: Nenciu, Irina, et al.
Published: (2023)

Global well-posedness for rough solutions of defocusing cubic NLS on three dimensional compact manifolds
by: Qionglei, Chen, et al.
Published: (2024)

Global well-posedness and scattering for the defocusing septic one-dimensional NLS via new smoothing and almost Morawetz estimates
by: Lee, Zachary, et al.
Published: (2024)

Nonlinear Schrödinger equation on a unit ball in one and two dimensions
by: Klein, Christian, et al.
Published: (2025)

Global well-posedness for the defocusing 3D quadratic NLS in the sharp critical space
by: Shen, Jia, et al.
Published: (2024)

Effective Dynamics of Translationally Invariant Magnetic Schrödinger Equations in the High Field Limit
by: Nenciu, Gheorghe, et al.
Published: (2022)

Scattering theory for the defocusing 3d NLS in the exterior of a strictly convex obstacle
by: Liu, Xuan, et al.
Published: (2024)

On completeness of modified wave operators for defocusing NLS
by: Georgiev, Vladimir, et al.
Published: (2025)

Gibbs measure dynamics for the fractional NLS
by: Sun, Chenmin, et al.
Published: (2019)

Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds
by: Bulut, Aynur
Published: (2020)

Scattering for defocusing cubic NLS under locally damped strong trapping
by: Lafontaine, David, et al.
Published: (2025)

The bidirectional NLS approximation for the one-dimensional Euler-Poisson system
by: Liu, Huimin, et al.
Published: (2025)

A Decay estimate for cubic defocusing non-linear Schrödinger equation in three dimensions
by: Sun, Yi
Published: (2025)

Normalized solutions of one-dimensional defocusing NLS equations with nonlinear point interactions
by: Barbera, Daniele, et al.
Published: (2025)

An inverse Problem for the cubic $α$-NLS in Sobolev spaces
by: Lee, Zachary, et al.
Published: (2025)

Ground states of the defocusing nonlinear Schrödinger equation with a point interaction in dimensions 2 and 3
by: Ikeda, Masahiro, et al.
Published: (2026)

On singular problems in nonreflexive fractional Orlicz-Sobolev spaces
by: Carvalho, Marcos L. M., et al.
Published: (2026)

The mass-mixed case for normalized solutions to NLS equations in dimension two
by: Cassani, Daniele, et al.
Published: (2024)

Boundary fractional Hardy's inequality in dimension one: The critical case
by: Adimurthi, et al.
Published: (2024)

Almost sharp global wellposedness and scattering for the defocusing conformal wave equation on the hyperbolic space
by: Ma, Chutian
Published: (2023)

The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in dimension one
by: Gonzalez, Maria del Mar, et al.
Published: (2025)

Global Well-posedness for the periodic fractional cubic NLS in 1D
by: Megretski, Alexandre, et al.
Published: (2025)

Polynomial growth of Sobolev norms of solutions of the fractional NLS equation on \T^d
by: Wang, Jiajun
Published: (2026)

Stability and instability properties of rotating Bose-Einstein condensates
by: Arbunich, Jack, et al.
Published: (2018)

Classification of solutions to a weighted singular fractional problem in the half space
by: Guo, Yahong, et al.
Published: (2026)

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case
by: Sun, Juntao, et al.
Published: (2025)

Global well-posedness and scattering for the defocusing mass-critical Schrödinger equation in the three-dimensional hyperbolic space
by: Wilson, Bobby, et al.
Published: (2023)

An iterative method for solving elliptic BVP in one-dimension
by: Zelaya, Christian O. Bernal, et al.
Published: (2024)

Blow-up of radially symmetric solutions for a cubic NLS type system in dimension 4
by: Hespanha, Maicon, et al.
Published: (2025)

Lattice Approximations to NLS
by: Ouyang, Zhimeng
Published: (2024)

On blow-up for the supercritical defocusing nonlinear wave equation
by: Shao, Feng, et al.
Published: (2024)

Ground states of the defocusing NLSE with a point interaction
by: Ramos, Gustavo de Paula
Published: (2025)

Slow motion for a hyperbolic variation of Allen-Cahn equation in one space dimension
by: Folino, Raffaele
Published: (2015)

Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
by: Wei, Juncheng, et al.
Published: (2022)