12 citations · 17 across the 11 of their papers we have counts for
11 papers
Sharp and strong non-uniqueness for the magneto-hydrodynamic equations
Yao Nie, Weikui Ye
In this paper, we prove a sharp and strong non-uniqueness for a class of weak solutions to the three-dimensional magneto-hydrodynamic (MHD) system. More precisely, we show that any…
On the weak solutions for the MHD systems with controllable total energy and cross helicity
Changxing Miao, Weikui Ye
In this paper, we prove the non-uniqueness of three-dimensional magneto-hydrodynamic (MHD) system in for any initial data in ~…
Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in
Calvin Khor, Changxing Miao, Weikui Ye
Let . We construct infinitely many distributional solutions in to the three-dimensional Euler equations that do not conserve the energy, for a given init…
Ill-posedness for the Cauchy problem of the Camassa-Holm equation in
Yingying Guo, Weikui Ye, Zhaoyang Yin
For the famous Camassa-Holm equation, the well-posedness in with and the ill-posedness in $B^{1+\frac{1}{p}}_{p,r}(\mathbb{…
Global Regularity and instability for the incompressible non-viscous Oldroyd-B model
Zhi Chen, Weikui Ye, Zhaoyang Yin
In this paper, we consider the 2-dimensional non-viscous Oldroyd-B model. In the case of the ratio equal 1~(), it is a difficult case since the velocity field is no l…
Global well-posedness, stability and instability for the non-viscous Oldroyd-B model
Weikui Ye
In this paper we consider the 3-dimensional incompressible Oldroyd-B model. First, we establish two results of the global existence for different kinds of the coupling coefficient…
Well-posedness and global solutions to the higher order Camassa-Holm equations with fractional inertia operator in Besov space
Weikui Ye, Zhaoyang Yin
In this paper, we study well-posedness and the global solutions to the higher-order Camassa-Holm equations with fractional inertia operator in Besov space. When $a\in[\frac{1}{2},1…
A new result for the local well-posedness of the Camassa-Holm type equations in critial Besov spaces
Weikui Ye, Zhaoyang Yin, Yingying Guo
For the famous Camassa-Holm equation, the well-posedness in with and the ill-posedness in …
On the Cauchy problem for the Hunter-Saxton equation on the line
Weikui Ye, Zhaoyang Yin
In this paper, we consider the Cauchy problem for the Hunter-Saxton (HS) equation on the line. Firstly, we establish the local well-posedness for the integral form of the (HS) equa…
The estimate of lifespan and local well-posedness for the non-resistive MHD equations in homogeneous Besov spaces
Weikui Ye, Wei Luo, Zhaoyang Yin
In this paper, we mainly investigate the Cauchy problem of the non-resistive MHD equation. We first establish the local existence in the homogeneous Besov space $\dot{B}^{\frac{d}{…
The continuous dependence for the Navier-Stokes equations in
Weikui Ye, Zhaoyang Yin, Wei Luo
In this paper, we mainly investigate the Cauchy problem for the incompressible Navier-Stokes equations in homogeneous Besov spaces with $1\leq p<\in…