8 citations · 16 across the 8 of their papers we have counts for
10 papers
Scattering below the ground state for the three-dimensional focusing energy-critical NLS
Qingtang Su, Zehua Zhao
We prove global well-posedness and scattering for the three-dimensional focusing energy-critical nonlinear Schrödinger equation with initial data below the ground-state energy and…
Global well-posedness and scattering for the three-dimensional defocusing cubic Schrödinger equation in ,
Qingtang Su, Zehua Zhao
We prove global well-posedness and scattering for the three-dimensional defocusing cubic nonlinear Schrödinger equation with arbitrary initial data in , ,…
Full-radius dimension-free maximal inequalities for discrete Euclidean balls
Kaiwen Jin, Qingtang Su
For every , we prove dimension-free maximal inequalities over all radii for normalized averages over Euclidean balls in . In particular, this settles the…
Nonlinear modulational instabililty of the Stokes waves in 2d full water waves
Gong Chen, Qingtang Su
The well-known Stokes waves refer to periodic traveling waves under the gravity at the free surface of a two dimensional full water wave system. In this paper, we prove that small-…
On the transition of the Rayleigh-Taylor instability in 2d water waves
Qingtang Su
In this paper we prove the existence of water waves with sign-changing Taylor sign coefficients, that is, the strong Taylor sign holds initially, while breaks down at a later time,…
Justification of Peregrine soliton from full water waves
Qingtang Su
The Peregrine soliton is an exact solution of the 1d focusing nonlinear schrödinger equation (NLS) , having th…
Long time behavior of 2d water waves with point vortices
Qingtang Su
In this paper, we study the motion of the two dimensional inviscid incompressible, infinite depth water waves with point vortices in the fluid. We show that Taylor sign condition $…
Dynamics of subcritical threshold solutions for energy-critical NLS
Qingtang Su, Zehua Zhao
In this paper, we study the dynamics of subcritical threshold solutions for focusing energy critical NLS on () with nonradial data. This problem with radial…
Sharp global well-posedness for 1D NLS with derivatives
Qingtang Su
We show that the 1d derivative nonlinear Schrödinger equation (\ref{equ}) is globally well-posed in for . We use the linear-nonlinear decomposition met…
Global well-posedness and scattering for defocusing, cubic NLS in
Qingtang Su
We prove global well-posedness and scattering for the defocusing, cubic NLS on with initial data in for . The proof combines the ideas o…