128 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Chinese Academy of SciencesCN8 papers
- Yunnan UniversityCN6 papers
- Peking UniversityCN5 papers
- Tsinghua UniversityCN5 papers
- Central China Normal UniversityCN4 papers
- Hunan Normal UniversityCN4 papers
- Beijing Institute of TechnologyCN3 papers
- China West Normal UniversityCN3 papers
- Guangxi UniversityCN3 papers
- Hunan University of Humanities, Science and TechnologyCN3 papers
- Purple Mountain ObservatoryCN3 papers
- University of Chinese Academy of SciencesCN3 papers
11 papers · 1 filter
From nonlinear Schrödinger equation to interacting particle system: 1 < p < 2
Xin Liao, Juntao Lv
We investigate the limiting behavior of solutions with infinitely many peaks to nonlinear Schrödinger equations [-epsilon^2 Delta u_epsilon + u_epsilon = u_epsilon^p, u_epsilon > 0…
Symmetry structure of multi-dimensional time-fractional partial differential equations
Zhi-Yong Zhang, Jia Zheng
In this paper, we concentrate on the Lie symmetry structure of a system of multi-dimensional time-fractional partial differential equations (PDEs). Specifically, we first give an e…
Global existence, asymptotic behavior, and pattern formation driven by the parametrization of a nonlocal Fisher-KPP problem
Jing Li, Li Chen, Christina Surulescu
The global boundedness and the hair trigger effect of solutions for the nonlinear nonlocal reaction-diffusion equation \begin{align*} u_t=Δu+μu^α(1-κJ*u^β),\quad\hbox{in} \;\mathbb…
Low Mach Number Limit of Steady Euler Flows in Multi-Dimensional Nozzles
Mingjie Li, Tian-Yi Wang, Wei Xiang
In this paper, we consider the steady irrotational Euler flows in multidimensional nozzles. The first rigorous proof on the existence and uniqueness of the incompressible flow is p…
Dynamics of the focusing 3D cubic NLS with slowly decaying potential
Qing Guo, Hua Wang, Xiaohua Yao
In this paper, we consider a 3d cubic focusing nonlinear Schrödinger equation (NLS) with slowing decaying potentials. Adopting the variational method of Ibrahim-Masmoudi-Nakanishi…
Global boundedness and decay property of a three-dimensional Keller--Segel--Stokes system modeling coral fertilization
Jing Li, Peter Y. H. Pang, Yifu Wang
This paper is concerned with the four-component Keller--Segel--Stokes system modelling the fertilization process of corals: \begin{equation*} \left\{ \begin{array}{ll} ρ_t+u\cdot\n…
Scattering and blow-up criteria for 3D cubic focusing nonlinear inhomogeneous NLS with a potential
Qing Guo, Hua Wang, Xiaohua Yao
In this paper, we consider the 3d cubic focusing inhomogeneous nonlinear Schrödinger equation with a potential $$ iu_{t}+Δu-Vu+|x|^{-b}|u|^{2}u=0,\;\;(t,x) \in {\bf{R}\times{\bf{R}…
Sharp Threshold of Blow-up and Scattering for the fractional Hartree equation
Qing Guo, Shihui Zhu
We consider the fractional Hartree equation in the -supercritical case, and we find a sharp threshold of the scattering versus blow-up dichotomy for radial data: If $ M[u_{0}]…
Orbital stability of solitary waves for generalized derivative nonlinear Schrödinger equations in the endpoint case
Qing Guo
We consider the following generalized derivative nonlinear Schrödinger equation \begin{equation*} i\partial_tu+\partial^2_xu+i|u|^{2σ}\partial_xu=0,\ (t,x)\in\mathbb R\times\mathbb…
Fractional Kirchhoff problem with critical indefinite nonlinearity
P. K. Mishra, J. M. do Ó, X. He
We study the existence and multiplicity of positive solutions for a family of fractional Kirchhoff equations with critical nonlinearity of the form \begin{equation*} M\left(\int_Ω|…
Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data
Quansen Jiu, Mingjie Li, Yulin Ye
In this paper, we prove that the 1D Cauchy problem of the compressible Navier-Stokes equations admits a unique global classical solution if the viscosity w…