Blowup dynamics for mass critical half-wave equation in 3D

DOI10.1016/J.JFA.2021.109132zbMath1472.35355arXiv2009.14789OpenAlexW3172382380MaRDI QIDQ2039844

Publication date: 5 July 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14789

zbMATH Keywords

blow-up half-wave equation mass critical ground state mass

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

Related Items (1)

Normalized ground state traveling solitary waves for the half-wave equations with combined nonlinearities

Cites Work

Unnamed Item
Unnamed Item
On the regularity of the flow map associated with the 1D cubic periodic half-wave equation.
An improvement on the Brézis-Gallouët technique for 2D NLS and 1D half-wave equation
Blowup for fractional NLS
Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
Nonlinear fractional Schrödinger equations in one dimension
A one-dimensional model for dispersive wave turbulence
On the Cauchy problem for the nonlinear semi-relativistic equation in Sobolev spaces
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line
Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation
Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension
On the continuum limit for discrete NLS with long-range lattice interactions
On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations
High-speed excited multi-solitons in nonlinear Schrödinger equations
On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases
Nondispersive solutions to the \(L ^{2}\)-critical half-wave equation
On collapsing ring blow-up solutions to the mass supercritical nonlinear Schrödinger equation
Boson stars as solitary waves
Uniqueness of Radial Solutions for the Fractional Laplacian
On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
Two-soliton solutions to the three-dimensional gravitational Hartree equation
Mean field dynamics of boson stars
The emergence of solitons of the korteweg-de vries equation from arbitrary initial conditions
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
Ill-Posedness of the Cubic Nonlinear Half-Wave Equation and Other Fractional NLS on the Real Line
Nondispersive solutions to the mass critical half-wave equation in two dimensions
Numerical study of fractional nonlinear Schrödinger equations
Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS
On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
Dispersive wave turbulence in one dimension

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