2 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
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…
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}{…