LIU Shengquan, associate professor at School of Mathematics, Liaoning University, received B.Sc. and M.Sc. degrees in Mathematics in 2006 and 2009, respectively,from Northeast Dianli University. In 2012, heobtainedhisPh.Din mathematics at Xiamen University.

The main research interestis the applications of the theory of partial equations in fluids mechanics. The main research achievements are as follows.

Research Funds

1. The National Science Foundation of China，No.11301244, 2014--2016.

2. China Postdoctoral Science Foundation, No.2015M580067, 2015—2017.

3. Foundation of Education Department of Liaoning Province of China, No. L2013006, 2014--2016.

4. Doctor Startup Foundation of Liaoning Province of China, No. 20131040, 2015--2017

Publications

[1] Liu, Shengquan; Zhang, Jianwen: Global well-posedness for the two-dimensional equations of nonhomogeneous incompressible liquid crystal flows with nonnegative density. Discrete Contin.Dyn. Syst. Ser. B 21 (2016) 2631-2648.

[2] Liu, Qiao; Liu, Shengquan; Tan, Wenke; Zhong, Xin: Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows. J. Differential Equations 261 (2016) 6521-6569.

[3] Liu, Shengquan, Wang,Shujuan: A Blow-up Criterion for 2D Compressible Nematic Liquid Crystal Flows in Terms of Density, ActaApplicandaeMathematicae, DOI: 10.1007/s10440-016-0067-0.

[4] Liu, Shengquan: Large-time behavior of the strong solution to nonhomogeneous incompressible MHD system with general initial data. Bound.Value Probl. 2015, 2015:210,

[5] Liu, Shengquan: Xu, Xinying: Global existence and temporal decay for the nematic liquid crystal flows. J. Math. Anal. Appl. 426 (2015) 228-246.

[6] Chen, Mingtao; Liu, Shengquan: Blow-up criterion for 3D viscous-resistive compressible magnetohydrodynamic equations. Math. Methods Appl. Sci. 36 (2013) 1145-1156.

[7] Liu, Shengquan; Zhao, Jun Ning: Blow-up criterion for three-dimensional compressible viscoelastic fluids with vacuum. Acta Math.Sin. (Engl. Ser.) 29 (2013) 1159-1174.

[8] Liu, Shengquan; Zhang, Jianwen: A note on the blow-up criterion for the compressible isentropic Navier-Stokes equations with vacuum. Appl. Math. Lett. 26 (2013)584-588.

[9] Liu, Shengquan; Zhang, Jianwen; Zhao: Junning Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient. J. Math. Anal. Appl. 401 (2013) 795-810.

[10] Chen, Mingtao; Liu, Shengquan: Blow-up criterion for 3-D compressible magnetohydrodynamics with vacuum and zero resistivity. J. Math. Anal. Appl. 400 (2013) 174-186.

[11] Liu, Shengquan; Yu, Haibo; Zhang, Jianwen: Global weak solutions of 3D compressible MHD with discontinuous initial data and vacuum. J. Differential Equations 254 (2013),229-255.

[12] Liu, Shengquan; Zhao, Junning: A blow-up criterion for 3D compressible viscoelastic flow with large initial data. Nonlinear Anal. 75 (2012) 2416-2425.3.