16 citations · 38 across the 43 of their papers we have counts for
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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.…
On the well-posedness and non-uniform continuous dependence for the Novikov equation in the Triebel-Lizorkin spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper we study the Cauchy problem of the Novikov equation in for initial data belonging to the Triebel-Lizorkin spaces, i.e, with $1< p, r…
Ill-posedness for the periodic Camassa--Holm type equations in the end-point critical Besov space
Jinlu Li, Yanghai Yu, Weipeng Zhu
For the real-line case, it is shown that both the Camassa--Holm \cite{Guo} and Novikov equations \cite{Li-arx} are ill-posed in . In this paper, by presenting a n…