3 citations · 5 across the 7 of their papers we have counts for
8 papers
Vanishing orders of Dirichlet solutions to the Schrödinger equation in dimensions three and higher
Shuowen Feng, Zaihui Gan, Renjin Jiang +1
Let . For every sufficiently large integer , we construct a nonzero real function and a real potential $V_k\in L^\inf…
-Supercritical Nonlinear Klein-Gordon System with Quadratic Asymmetric Interaction
Xiaojing Dong, Huagui Duan, Zaihui Gan +1
In this paper we investigate the global existence, blow-up and standing waves for the -supercritical nonlinear Klein-Gordon equations with quadratic asymmetric interaction (…
Improved Berezin-Li-Yau inequality and Kröger inequality and consequences
Zaihui Gan, Renjin Jiang, Fanghua Lin
We provide quantitative improvements to the Berezin-Li-Yau inequality and the Kröger inequality, in , . The improvement on Kröger's inequality resolves an ope…
Existence and Instability of Standing Wave for the Two-wave Model with Quadratic Interaction
Zaihui Gan, Yue Wang
In this paper, we establish the existence and instability of standing wave for a system of nonlinear Schrödinger equations arising in the two-wave model with quadratic interaction…
Sharp Lower Bound for the Blow-up Rate of Solutions to the Magnetic Zakharov System without the Skin Effect
Zaihui Gan, Yuchen Wang, Yue Wang +1
In this paper, we consider the Cauchy problem of the magnetic Zakharov system in two-dimensional space: \[ \begin{cases} & i E_{1t}+ΔE_1-n E_1+ηE_2 (E_1\overline{E_2}-\overline{E_1…
Large Time Behavior and Convergence for the Camassa-Holm Equations with Fractional Laplacian Viscosity
Zaihui Gan, Yong He, Linghui Meng
In this paper, we consider the -dimensional () Camassa-Holm equations with fractional Laplacian viscosity in the whole space. In stark contrast to the Camassa-Holm equati…
Regularity of Solutions of the Camassa-Holm Equations with Fractional Laplacian Viscosity
Zaihui Gan, Yong He, Linghui Meng +1
We study the existence, uniqueness and regularity of solutions to the -dimensional () Camassa-Holm equations with fractional Laplacian viscosity with smooth initial data.…
On the Viscous Camassa-Holm Equations with Fractional Diffusion
Zaihui Gan, Fang-Hua Lin, Jiajun Tong
We study Cauchy problem of a class of viscous Camassa-Holm equations (or Lagrangian averaged Navier-Stokes equations) with fractional diffusion in both smooth bounded domains and i…