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math.AP2015
The Cauchy problem for a higher order shallow water type equation on the circle
Wei Yan, Yongsheng Li, Jianhua Huang
In this paper, we investigate the Cauchy problem for a higher order shallow water type equation \begin{eqnarray*} u_{t}-u_{txx}+\partial_{x}^{2j+1}u-\partial_{x}^{2j+3}u+3uu_{x}-2u…
math.AP2015
Global well-posedness for the 3-D density-dependent liquid crystal flows in the critical Besov spaces
Xiaoping Zhai, Yongsheng Li, Wei Yan
In this paper, we prove the local well-posedness of 3-D density-dependent liquid crystal flows with initial data in the critical Besov spaces, without assumptions of small density…