699 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Wuhan UniversityCN89 papers
- Chinese Academy of SciencesCN52 papers
- Wuhan University of Science and TechnologyCN40 papers
- Beijing Normal UniversityCN25 papers
- University of Chinese Academy of SciencesCN24 papers
- Huazhong University of Science and TechnologyCN22 papers
- Institute of High Energy PhysicsCN19 papers
- University of Science and Technology of ChinaCN14 papers
- Peking UniversityCN13 papers
- State Key Laboratory of Advanced Technology For Materials Synthesis and Processing12 papers
- Tsinghua UniversityCN12 papers
- Central China Normal UniversityCN11 papers
34 papers · 1 filter
Controllability and mixing for acoustic wave motions
Zhe Jiao, Xiao Li, Qin Zhao
This paper concerns the dynamical behaviors of acoustic wave motion driven by a force acting through the boundary. If the boundary force is a suitable control, we show that the dyn…
On the well-posedness of the compressible Navier-Stokes equations
Zihua Guo, Minghua Yang, Zeng Zhang
We consider the Cauchy problem to the barotropic compressible Navier-Stokes equations. We obtain optimal local well-posedness in the sense of Hadamard in the critical Besov space $…
Grad-Caflisch pointwise decay estimates revisited
Ning Jiang, Yi-Long Luo, Shaojun Tang
In the influential paper \cite{Caflish-1980-CPAM} which was the starting point of the employment of Hilbert expansion method to the rigorous justifications of the fluid limits of t…
Global existence, uniqueness and -bound of weak solutions of fractional time-space Keller-Segel system
Liujie Guo, Fei Gao, Hui Zhan
This paper studies the properties of weak solutions to a class of space-time fractional parabolic-elliptic Keller-Segel equations with logistic source terms in , $n…
A constrained minimization problem related to two coupled pseudo-relativistic Hartree equations
Wenqing Wang, Xiaoyu Zeng, Huan-Song Zhou
We are concerned with the following constrained minimization problem: $$e(a_{1},a_{2},β) := \inf\left\{E_{a_{1},a_{2},β}(u_{1},u_{2}): \|u_{1}\|_{L^{2}(\mathbb{R}^{3})} = \|u_{2}\|…
On the Kirchhoff equation with prescribed mass and general nonlinearities
Xiaoyu Zeng, Jianjun Zhang, Yimin Zhang +1
In the present paper, we apply a global branch approach to study the existence, non-existence and multiplicity of positive normalized solutions $(λ_c, u_c)\in \mathbb{R}\times H^1(…
Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space
Ning Jiang, Yi-Long Luo, Shaojun Tang
In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by empl…
Entropy inequality and energy dissipation of inertial Qian-Sheng model for nematic liquid crystals
Ning Jiang, Yi-Long Luo, Yangjun Ma +1
For the inertial Qian-Sheng model of nematic liquid crystals in the -tensor framework, we illustrate the roles played by the entropy inequality and energy dissipation in the wel…
Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces
Wei Yan, Yimin Zhang, Yongsheng Li +1
We consider the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili (RMKP) equation \begin{align*} \partial_{x}\left(u_{t}-β\partial_{x}^{3}u +\partial_{x}(u^{2})\right…
Higher integrability for obstacle problem related to the singular porous medium equation
Qifan Li
This paper is concerned with the self-improving property for obstacle problem related to the singular porous medium equation. We establish a local higher integrability result for t…
Local well-posedness and global existence for a multi-component Novikov equation
Zhigang Li, Yuxi Hu, Xinglong Wu
Considered herein is a multi-component Novikov equation, which admits bi-Hamiltonian structure, infinitely many conserved quantities and peaked solutions. In this paper, we deduce…
Incompressible limit of the Ericksen-Leslie hyperbolic liquid crystal model in compressible flow
Liang Guo, Ning Jiang, Fucai Li +2
Ericksen and Leslie proposed a hydrodynamic model for liquid crystals in the format of conservation laws in the 1960s. Their original model includes inertial and compressibility ef…
High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: Polytropic gas
Aifang Qu, Hairong Yuan, Qin Zhao
We study high Mach number limit of the one dimensional piston problem for the full compressible Euler equations of polytropic gas, for both cases that the piston rushes into or rec…
Hypersonic limit of two-dimensional steady compressible Euler flows passing a straight wedge
Aifang Qu, Hairong Yuan, Qin Zhao
We formulated a problem on hypersonic limit of two-dimensional steady non-isentropic compressible Euler flows passing a straight wedge. It turns out that Mach number of the upcomin…
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…
On the continuity of solutions to doubly singular parabolic equations
Qifan Li
This paper considers a certain doubly singular parabolic equations with one singularity occurs in the time derivative, whose model is \begin{equation*} \partial_tβ(u)-\operatorname…
Stabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ducts
Hairong Yuan, Qin Zhao
Transonic shocks play a pivotal role in designation of supersonic inlets and ramjets. For the three-dimensional steady non-isentropic compressible Euler system with frictions, we h…
Steady Euler Flows with Large Vorticity and Characteristic Discontinuities in Arbitrary Infinitely Long Nozzles
Gui-Qiang G. Chen, Fei-Min Huang, Tian-Yi Wang +1
We establish the existence and uniqueness of smooth solutions with large vorticity and weak solutions with vortex sheets/entropy waves for the steady Euler equations for both compr…
Strong solutions of stochastic differential equations with square integrable drift
Rongrong Tian, Liang Ding, Jinlong Wei
We prove the existence and uniqueness of strong solutions for stochastic differential equations in which the drift coefficient is square integrable in time variable and Hölder cont…
Weak Harnack estimates for supersolutions to doubly degenerate parabolic equations
Qifan Li
We establish weak Harnack inequalities for positive, weak supersolutions to certain doubly degenerate parabolic equations. The prototype of this kind of equations is $$\partial_tu-…
Positive solutions for a class of singular quasilinear Schrödinger equations with critical Sobolev exponent
Zhouxin Li
In this paper we prove the existence of positive solutions of the following singular quasilinear Schrödinger equations at critical growth \begin{eqnarray*} -Δu-λc(x)u-κα(Δ(|u|^{2α}…
Ground States of Two-Component Attractive Bose-Einstein Condensates II: Semi-trivial Limit Behavior
Yujin Guo, Shuai Li, Juncheng Wei +1
As a continuation of [14], we study new pattern formations of ground states for two-component Bose-Einstein condensates (BEC) with homogeneous trapping potentials in $R…
Ground States of Two-Component Attractive Bose-Einstein Condensates I: Existence and Uniqueness
Yujin Guo, Shuai Li, Juncheng Wei +1
We study ground states of two-component Bose-Einstein condensates (BEC) with trapping potentials in , where the intraspecies interaction and the interspecies int…
A variational problem arising in registration of diffusion tensor images
Huan Han, Huan-Song Zhou
The existence of a global minimizer for a variational problem arising in registration of diffusion tensor images is proved, which ensures that there is a regular spatial transforma…