2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AP2014★ 2 cited
Global existence and well-posedness of 2D viscous shallow water system in Sobolev spaces with low regularity
Yanan Liu, Zhaoyang Yin
In this paper we consider the Cauchy problem for 2D viscous shallow water system in , . We first prove the local well-posedness of this problem by using the…
math.AP2014
Well-posedness and global existence of 2D viscous shallow water system in Besov spaces
Yanan Liu, Zhaoyang Yin
In this paper we consider the Cauchy problem for 2D viscous shallow water system in Besov spaces. We firstly prove the local well-posedness of this problem in $B^s_{p,r}(\mathbb{R}…
math.AP2006
Long-time existence of mean curvature flow with external force fields
Yanan Liu, Huaiyu Jian
In this paper, we study the evolution of submannifold moving by mean curvature minus a external force field. We prove that the flow has a long-time smooth solution for all time und…