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
13 papers · 2 filters
Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds
Yannick Sire, Christopher D. Sogge, Chengbo Wang +1
We prove global-in-time Strichartz estimates for the shifted wave equations on non-trapping asymptotically hyperbolic manifolds. The key tools are the spectral measure estimates fr…
Scattering theory for nls with inverse-square potential in 2d
Xiaofen Gao, Chengbin Xu
In this paper, we study the long time behavior of the solution of nonlinear Schrödinger equation with a singular potential. We prove scattering below the ground state for the radia…
Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials
Lu Chen, Guozhen Lu, Maochun Zhu
In this paper, we first give a necessary and sufficient condition for the boundedness and the compactness for a class of nonlinear functionals in . Using this…
Determining anisotropic real-analytic metric from boundary electromagnetic information
Genqian Liu
For a compact, connected, oriented Riemannian -manifold with smooth boundary , we explicitly give a local representation and a full symbol expression for th…
Rotating vortex patches for the planar Euler equations in a disk
Daomin Cao, Jie Wan, Guodong Wang +1
We construct a family of rotating vortex patches with fixed angular velocity for the two-dimensional Euler equations in a disk. As the vorticity strength goes to infinity, the limi…
Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds
Genqian Liu
In this paper, the elastic Dirichlet-to-Neumann map is studied for the stationary elasticity system in a compact Riemannian manifold with smooth boundary …
Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball
Dongfen Bian, Jinkai Li
In this paper, we consider the initial-boundary value problem to the compressible Navier-Stokes equations for ideal gases without heat conduction in the half space or outside a fix…
Global classical small-data solutions for a three-dimensional Keller--Segel--Navier--Stokes system modeling coral fertilization
Myowin Htwe, Peter Y. H. Pang, Yifu Wang
We are concerned with the Keller--Segel--Navier--Stokes system \begin{equation*} \left\{ \begin{array}{ll} ρ_t+u\cdot\nablaρ=Δρ-\nabla\cdot(ρ\mathcal{S}(x,ρ,c)\nabla c)-ρm, &\!\! (…
Desingularization of vortex rings in 3 dimensional Euler flows
Daomin Cao, Jie Wan, Weicheng Zhan
In this paper, we are concerned with nonlinear desingularization of steady vortex rings of three-dimensional incompressible Euler fluids. We focus on the case when the vorticity fu…
Small data global regularity for simplified 3-D Ericksen-Leslie's compressible hyperbolic liquid crystal model
Jiaxi Huang, Ning Jiang, Yi-Long Luo +1
In this article, we consider the Ericksen-Leslie's hyperbolic system for compressible liquid crystal model in three spatial dimensions. Global regularity for small and smooth initi…
Asymptotic behavior of solutions to a tumor angiogenesis model with chemotaxis--haptotaxis
Peter Y. H. Pang, Yifu Wang
This paper studies the following system of differential equations modeling tumor angiogenesis in a bounded smooth domain (): $$\label{0} \left\{\begi…
Uniform resolvent estimates for Schrödinger operator with an inverse-square potential
Haruya Mizutani, Junyong Zhang, Jiqiang Zheng
We study the uniform resolvent estimates for Schrödinger operator with a Hardy-type singular potential. Let where is the usual Laplacian on $\mathbb{R}^…
Square function inequality for oscillatory integral operators satisfying homogeneous Carleson-Sjölin type conditions
Chuanwei Gao, Changxing Miao, Jianwei-Urbain Yang
In this paper, we establish an improved variable coefficient version of square function inequality, by which the local smoothing estimate for the Fourier int…