217 citations · 1.2k across the 18 of their papers we have counts for
18 papers
Norm Inflation for Inviscid and Fully Dissipative Boussinesq Systems in Supercritical Spaces
Qionglei Chen, Yaowei Xie
We prove norm inflation, in the sense of strong ill-posedness, for the two-dimensional Boussinesq system in supercritical Besov spaces. For the inviscid system, norm inflation hold…
Stress concentration for nonlinear insulated conductivity problem with adjacent inclusions
Qionglei Chen, Zhiwen Zhao
A high-contrast two-phase nonlinear composite material with adjacent inclusions of -convex shapes is considered for . The mathematical formulation consists of the insulated…
Ill-posedness issue for the 2D viscous shallow water equations in some critical Besov spaces
Qionglei Chen, Yao Nie
We study the Cauchy problem of the 2D viscous shallow water equations in some critical Besov spaces $\dot B^{\frac{2}{p}}_{p,1}(\mathbb{R}^2)\times \dot B^{\frac{2}{p}-1}_{p,q}(\ma…
Global attractors and their upper semicontinuity for a structural damped wave equation with supercritical nonlinearity on
Qionglei Chen, Pengyan Ding, Zhijian Yang
The paper investigates the existence of global attractors and their upper semicontinuity for a structural damped wave equation on $\mathbb{R}^{N}: u_{tt}-Δu+(-Δ)^αu_{t}+u_{t}+u+g(u…
Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism
Qionglei Chen, Xiaonan Hao
We prove the global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism on the stress tensor in for the smal…
The two-dimensional Euler equations in Yudovich type space and -type space
Qionglei Chen, Changxing Miao, Xiaoxin Zheng
We construct global-in-time, unique solutions of the two-dimensional Euler equations in a Yudovich type space and a -type space. First, we show the regularity of solutions…