76 citations · 131 across the 70 of their papers we have counts for
70 papers
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…
Optimization in Bochner Spaces
Shuting Ai, Jinlu Li
In this paper, we study some optimization problems in uniformly convex and uniformly smooth Bochner spaces. We consider four cases of the underlying subsets: closed and convex subs…
Directional Differentiability of the Metric Projection in Uniformly Convex and Uniformly Smooth Banach Spaces
Jinlu Li
Let X be a real uniformly convex and uniformly smooth Banach space and C a nonempty closed and convex subset of X. Let Pc from X to C denote the (standard) metric projection operat…