7 papers · 1 filter
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…
A remark on the vanishing diffusivity limit of the Keller-Segel equations in Besov spaces
Yanghai Yu, Fang Liu
It is shown in \cite[J. Differ. Equ., (2022)]{22jde} that given initial data and for some , the solutions of the parabolic-type Keller-Segel equations con…
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…