18 citations · 21 across the 8 of their papers we have counts for
8 papers · 1 filter
Stability of peakons for a modified Camassa-Holm equation
Xingxing Liu, Zhaoyang Yin
In this paper, we investigate the orbital stability of peakons for a modified Camassa-Holm equation with cubic nonlinearity derived from the two-dimensional Euler equation. By over…
Global solution to liquid crystal flows in three dimensions
Wenke Tan, Zhaoyang Yin
In this paper, we mainly study a hydrodynamic system modeling the flow of nematic liquid crystals. In three dimensions, we first establish local well-posedness of the initial-bound…
On the Cauchy problem for a two-component Degasperis-Procesi system
Kai Yan, Zhaoyang Yin
This paper is concerned with the Cauchy problem for a two-component Degasperis-Procesi system. Firstly, the local well-posedness for this system in the nonhomogeneous Besov spaces…
Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity
Qiaoyi Hu, Zhaoyang Yin
We first establish local well-posedness for a periodic 2-component Camassa-Holm equation with vorticity. We then present a global existence result for strong solutions to the equat…
On the Cauchy problem of a two-component b-family equation
Jingjing Liu, Zhaoyang Yin
In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato's semigro…
Global weak solutions for a periodic two-component -Hunter-Saxton system
Jingjing Liu, Zhaoyang Yin
This paper is concerned with global existence of weak solution for a periodic two-component -Hunter-Saxton system. We first derive global existence for strong solutions to the s…