7 citations · 8 across the 15 of their papers we have counts for
8 papers · 1 filter
Well-posedness and no-uniform dependence for the Euler-Poincaré equations in Triebel-Lizorkin spaces
Yuanhua Zhong, Jianzhong Lu, Min Li +1
In this paper, we study the Cauchy problem of the Euler-Poincaré equations in with initial data belonging to the Triebel-Lizorkin spaces. We prove the local-in-time unique e…
On the ill-posedness for the Navier--Stokes equations in the weakest Besov spaces
Yanghai Yu, Jinlu Li
It is proved in \cite{IO21} that the Cauchy problem for the full compressible Navier--Stokes equations of the ideal gas is ill-posed in $\dot{B}_{p, q}^{2 / p}(\mathbb{R}^2) \times…
Zero-filter limit issue for the Camassa-Holm equation in Besov spaces
Yuxing Cheng, Jianzhong Lu, Min Li +2
In this paper, we focus on zero-filter limit problem for the Camassa-Holm equation in the more general Besov spaces. We prove that the solution of the Camassa-Holm equation converg…
Non-uniform convergence of solution for the Camassa-Holm equation in the zero-filter limit
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the short note, we prove that given initial data with and for some , the solution of the Camassa-Holm equation does no…
Anomalous Dissipation for the d-dimensional Navier-Stokes Equations
Jinlu Li, Yanghai Yu, Weipeng Zhu
The purpose of this paper is to study the vanishing viscosity limit for the d-dimensional Navier--Stokes equations in the whole space: \begin{equation*} \begin{cases} \partial_tu^\…
Loss of Uniform Convergence for Solutions of the Navier--Stokes Equations in the Inviscid Limit
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper, we consider the inviscid limit problem to the higher dimensional incompressible Navier--Stokes equations in the whole space. It is shown in [Guo, Li, Yin: J. Funct.…