1.4k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Chinese Academy of SciencesCN227 papers
- Peking UniversityCN144 papers
- Tsinghua UniversityCN141 papers
- Institute of PhysicsPL111 papers
- University of Chinese Academy of SciencesCN107 papers
- Singapore University of Technology and DesignSG59 papers
- University of Hong KongHK58 papers
- Beijing Institute of Optoelectronic TechnologyCN55 papers
- Beijing Normal UniversityCN54 papers
- Centre National de la Recherche ScientifiqueFR50 papers
- Institute of Applied Physics and Computational MathematicsCN50 papers
- Beihang UniversityCN48 papers
11 papers · 2 filters
Existence and Nonexistence of Extremals for critical Adams inequalities in R4 and Trudinger-Moser inequalities in R2
Lu Chen, Guozhen Lu, Maochun Zhu
Though much work has been done with respect to the existence of extremals of the critical first order Trudinger-Moser inequalities in and higher order Adams…
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…
Nonlinear Schrödinger equation with Coulomb potential
Changxing Miao, Junyong Zhang, Jiqiang Zheng
In this paper, we study the Cauchy problem for the nonlinear Schrödinger equations with Coulomb potential with on $\mathbb{R…
Logarithmic Decay of a Wave Equation with Kelvin-Voigt Damping
Luc Robbiano, Qiong Zhang
In this paper we analyze the long time behavior of a wave equation with local Kelvin-Voigt Damping. Through introducing proper class symbol and pseudo-differential calculus, we obt…
Determinstic and stochastic 2d Navier-Stokes equations with anisotropic viscosity
Siyu Liang, Ping Zhang, Rongchan Zhu
In this paper, we investigate both deterministic and stochastic 2D Navier Stokes equations with anisotropic viscosity. For the deterministic case, we prove the global well-posednes…
Global well-posedness for the defocusing Hartree equation with radial data in
Changxing Miao, Guixiang Xu, Jianwei Yang
By -method, the interaction Morawetz estimate, long time Strichartz estimate and local smoothing effect of Schrödinger operator, we show global well-posedness and scattering for…
Stein-Weiss inequalities with the fractional Poisson kernel
Lu Chen, Zhao Liu, Guozhen Lu +1
In this paper, we establish the following Stein-Weiss inequality with the fractional Poisson kernel (see Theorem 1.1): \begin{equation}\label{int1} \int_{\mathbb{R}^n_{+}}\int_{\pa…
Strong Comparison Principles for Some Nonlinear Degenerate Elliptic Equations
YanYan Li, Bo Wang
In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form…
Global solvability and stability to a nutrient-taxis model with porous medium slow diffusion
Chunhua Jin, Yifu Wang, Jingxue Yin
In this paper, we study a nutrient-taxis model with porous medium slow diffusion \begin{align*} \left\{ \begin{aligned} &u_t=Δu^m-χ\nabla\cdot(u\nabla v)+ξuv-ρu, \\ &v_t-Δv=-vu+μv(…
Strichartz estimates and wave equation in a conic singular space
Junyong Zhang, Jiqiang Zheng
Consider the metric cone with the metric where the cross section is a compact -dimensional Riemannian manifold $(Y,h…
The global well-posedness and scattering for the D defocusing conformal invariant NLW with radial initial data in a critical Besov space
Changxing Miao, Jianwei Yang, Tengfei Zhao
In this paper, we obtain the global well-posedness and scattering for the radial solution to the defocusing conformal invariant nonlinear wave equation with initial data in the cri…