34 citations · 42 across the 19 of their papers we have counts for
4 papers · 2 filters
Sharp well-posedness and ill-posedness of the Cauchy problem for the higher-order KdV
Wei Yan, Minjie Jiang, Yongsheng Li +1
In this paper, we investigate the Cauchy problem for the higher-order KdV-type equation \begin{eqnarray*} u_{t}+(-1)^{j+1}\partial_{x}^{2j+1}u + \frac{1}{2}\partial_{x}(u^{2}) = 0,…
On the Well-posedness of 2-D Incompressible Navier-Stokes Equations with Variable Viscosity in Critical Spaces
Huan Xu, Yongsheng Li, Xiaoping Zhai
In this paper, we first prove the local well-posedness of the 2-D incompressible Navier-Stokes equations with variable viscosity in critical Besov spaces with negative regularity i…
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…
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…