110 citations · 484 across the 51 of their papers we have counts for
52 papers
Global dynamics above the ground state energy for the 3D Zakharov system
Zihua Guo, Kenji Nakanishi
We study the global dynamics for the 3D Zakharov system with radial initial data of energy slightly above the ground state energy, proving that the initial data set splits into nin…
Well-posedness and vanishing rotational limit for the rotating incompressible Navier-Stokes equations in hybird Besov space
Zihua Guo, Zihao Song, Minghua Yang
We establish the well-posedness of the 3D rotating incompressible Navier-Stokes equations with critical initial data for , where is defi…
Sharp Strichartz estimate for the 1D periodic Schrödinger equation
Puti Dai, Zihua Guo
We prove the following estimate \[ \|{e^{it\partial_x^2}f}\|_{L_{(t,x)\in \mathbb{T}^2}^6}\leq C (\log N)^{1/6} \|f\|_{L^2_x(\mathbb{T})}, \] assuming $\mbox{supp} (\hat f)\subset…
On smoothing estimates for Schrödinger equations on product spaces
Xianghong Chen, Zihua Guo, Minxing Shen +1
Let denote the Laplace-Beltrami operator on the product spaces . In this article we show that $$ \left\|e^{it…
Pointwise Decay of solutions to the energy critical nonlinear Schrödinger equations
Zihua Guo, Chunyan Huang, Liang Song
In this note, we prove pointwise decay in time of solutions to the 3D energy-critical nonlinear Schrödinger equations assuming data in . The main ingredients are the b…
Global well-posedness and scattering of the two dimensional cubic focusing nonlinear Schrödinger system
Xing Cheng, Zihua Guo, Gyeongha Hwang +1
In this article, we prove the global well-posedness and scattering of the cubic focusing infinite coupled nonlinear Schrödinger system on below the threshold in $L_x…