3 citations · 5 across the 2 of their papers we have counts for
5 papers · 1 filter
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…