12 citations · 16 across the 9 of their papers we have counts for
5 papers · 2 filters
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 …