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20112026
most citedGlobal well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows with vacuum

5 citations · 18 across the 16 of their papers we have counts for

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math.AP2026

Regularity criterion for the 3D generalized Newtonian fluids

Qiao Liu, Xincheng Shi

In this paper, we prove that a weak solution of the Cauchy problem for 3D unsteady flows of a generalized Newtonian fluid becomes a strong solution for $\frac{5}{3} <p<\frac{11}{5}…

math.AP2023

Global existence and optimal decay of solutions to the incompressible Oldroyd-B model with only stress tensor dissipation and without damping mechanism

Zhi Chen, Weixun Feng, Qiao Liu

We study the -dimensional () incompressible Oldroyd-B model with only stress tensor diffusion and without velocity dissipation as well as the damping mechanism on the st…

math.AP2018★ 2 cited

On optimal boundary control of Ericksen-Leslie system in dimension two

Qiao Liu, Changyou Wang, Xiaotao Zhang +1

In this paper, we consider the boundary value problem of a simplified Ericksen-Leslie system in dimension two with non-slip boundary condition for the velocity field and time-d…

math.AP2015

Well-posedness and decay for the dissipative system modeling electro-hydrodynamics in negative Besov spaces

Jihong Zhao, Qiao Liu

In \cite{GW12} (Y. Guo, Y. Wang, Decay of dissipative equations and negative Sobolev spaces, Commun. Partial Differ. Equ. 37 (2012) 2165--2208), Y. Guo and Y. Wang developed a gene…

math.AP2015★ 2 cited

Global strong solution to the two-dimensional density-dependent nematic liquid crystal flows with vacuum

Lin Li, Qiao Liu, Xin Zhong

We are concerned with the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible nematic liquid crystal flows on the whole space with vacuum as f…

math.AP2015★ 5 cited

Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows with vacuum

Qiao Liu, Shengquan Liu, Wenke Tan +1

This paper concerns the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible nematic liquid crystal flows on the whole space with vacuum as far…