104 citations · 258 across the 27 of their papers we have counts for
27 papers
Unstable Manifolds of Stratified Euler Equations
Zhiwu Lin, Yanbo Wang, Chongchun Zeng
We consider a spectrally unstable steady state of the incompressible stratified Euler equations on a class of -dimensional domains. Assuming that the linearized equa…
The uniqueness of the ground state and the dynamics of nonlinear Schrödinger equation with inverse square potential
Kai Yang, Chongchun Zeng, Xiaoyi Zhang
In this paper, we first provide an alternative proof of the uniqueness of the ground state solution for NLS with inverse square potential and power nonlinearity for all $0…
Invariant Manifolds for Capillary Waves and a Class of Quasilinear PDEs
Jalal Shatah, Chongchun Zeng
This paper studies the local stable and unstable manifolds of equilibria for quasilinear and fully nonlinear PDEs. These manifolds are fundamental objects in the analysis of local…
On the spectra of the gravity water waves linearized at monotone shear flows
Xiao Liu, Chongchun Zeng
We consider the spectra of the 2-dim gravity waves of finite depth linearized at a uniform monotonic shear flow , , where the wave numbers of the horiz…
Capillary gravity water waves linearized at monotone shear flows: eigenvalues and inviscid damping
Xiao Liu, Chongchun Zeng
This paper is concerned with the eigenvalues and linear inviscid damping of the 2D capillary gravity water waves of finite depth linearized at a monotone shear flow…
On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting
Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara +1
Breathers are nontrivial time-periodic and spatially localized solutions of nonlinear dispersive partial differential equations (PDEs). Families of breathers have been found for ce…