Publications：
I.The curvature flows with constraint, or nonlocal flows
(10) Li Ya-Rui, Wang Xiao-Liu*, The evolution of gradient flow minimizing the anisoperimetric ratio of convex plane curves. J. Differential Equations 375 (2023) 348-373. （与学生合作）
(9)Wang Xiaoliu*, The evolution of area-preserving and length-preserving inverse curvature flows for immersed locally convex closed plane curves. J. Funct. Anal. 284 (2023), no. 1, Paper No. 109744, 25 pp.
(8) Sesum, Natasa; Tsai, Dong-Ho; Wang, Xiao-Liu. Evolution of locally convex closed curves in the area-preserving and length-preserving curvature flows. Comm. Anal. Geom.28 (2020), no. 8, 1863-1894.
(7)Wang Xiaoliu *, Wo Weifeng, Yang Ming. Evolution of non-simple closed curves in the area-preserving curvature flow, Proc. Roy. Soc. Edinburgh Sect. A, 148 (2018), 659-668.
(6) Tsai Dong-Ho*, Wang Xiaoliu*, The evolution of nonlocal curvature flow arising in a Hele-Shaw problem.SIAM J. Math. Anal., 50 (2018),no. 1, 1396-1431.
(5)Wang Xiaoliu*, Li Huiling, Chao Xiaoli, Length-preserving evolution of immersed closed curves and the isoperimetric inequality, Pacific J. Math., 290(2017),no. 2, 467-479.
(4) Tsai Dongho*, Wang Xiaoliu, On length-preserving and area-preserving nonlocal flow of convex closed plane curves, Calc. Var. Partial Differential Equations, 54 (2015) 3603-3622.
(3)Wang Xiaoliu, Wo Weifeng*, Length-preserving evolution of non-simple symmetric plane curves, Math. Methods Appl. Sci., 37 (2014) 808-816.
(2)Wang Xiaoliu *, Kong Linghua, Area-preserving evolution of non-simple symmetric plane curves, J. Evol. Equ., 14 (2014) 387-401.
(1)Chao Xiaoli, Ling Xiaoran, Wang Xiaoliu *, On a planar area-preserving curvature flow, Proc. Amer. Math. Soc., 141 (2013) 1783-1789. (与学生合作)
(0) A note on the singularity in the evolution of nonlocal constraint flows (by Wang Xiaoliu,2019)
a note on singularity.pdf
II.The shrinking curvature flows
(13) Li Yarui, Wang Xiaoliu*, Ye Zeyu, Zhang Xinkai. A revisit to the curve shortening flow. Discrete and Continuous Dynamical Systems - Series B 29 (2024), no. 9, 3970-3979. (与学生合作)
(12) Wang, Ya-ping; Wang, Xiao-Liu*. Evolution of convex cosed curves in an area-preserving anisotropic curvature flow. Adv. Nonlinear Anal. 12 (2023), no. 1, 117–131.(与学生合作)
(11) Tsai, Dong-Ho*; Wang, Xiao-Liu. On an asymptotically log-periodic solution to the graphical curve shortening flow equation. Math. Eng. 4 (2022), no. 3, Paper No. 019, 14 pp.
(10) Lou, Bendong; Wang, Xiaoliu; Yuan, Lixia. Convergence to the grim reaper for a curvature flow with unbounded boundary slopes. Calc. Var. Partial Differential Equations 60 (2021), no. 4, Paper No. 159, 14 pp.
(9) Tsai, Dong-Ho; Wang, Xiaoliu. On Some Simple Methods to Derive the Hairclip and Paperclip Solutions of the Curve Shortening Flow. Acta Math. Sci. Ser. B (Engl. Ed.) 39 (2019), no. 6, 1674–1694.
(8) Wo Weifeng, Wang Xiaoliu, Qu Changzheng*, The centro-affine invariant geometric heat flow, Math. Z.,288 (2018), no. 1-2, 311-331.
(7) Chen Wenyan, Wang Xiaoliu *, Yang Ming, Evolution of highly symmetric curves under the shrinking curvature flow, Math. Meth. Appl. Sci. 40(2017) 3775-3783.
(6) Wo Weifeng*, Yang Shuxin, Wang Xiaoliu, Group invariant solutions to a centro-affine invariant flow, Arch. Math. (Basel), online publication, 2017, DOI:10.1007/s00013-016-1010-3.
(5) Chou Kaiseng, Wang Xiaoliu *, A note on Abresch-Langer conjecture, Proc. Roy. Soc. Edinburgh Sect. A, 144 (2014) 299-304.
(4) Chou Kaiseng, Wang Xiaoliu *, The curve shortening problem under robin boundary condition, NoDEA Nonlinear Differential Equations Appl., 19 (2012) 177-194.
(3) Wang Xiaoliu, Wo Weifeng*, On the asymptotic stability of stationary lines in the curve shortening problem, Pure Appl. Math. Q., 9 (2013) 493-506.
(2) Wang Xiaoliu *, Wo Weifeng, On the stability of stationary line and grim reaper in planar curvature flow, Bull. Aust. Math. Soc., 83 (2011) 177-188.
(1) Wang Xiaoliu *, The stability of m-fold circles in the curve shortening problem, Manuscripta Math.,134 (2011) 493-511.
III Other curvature flows
(1) Lin Yuchu, Tsai Dongho*, Wang Xiaoliu, On some simple examples of non-parabolic curve flows in the plane, J. Evol. Equ., 15 (2015) 817–845.
IV Nonlinear Parabolic PDEs
(9) Zhang Lingfeng, Wang Xiaoliu*. On a parabolic equation in microelectromechanical systems with an external pressure. Accepted for publication in Math. Meth. Appl. Sci., 2024.(与学生合作)
(8) Bai Xueli, Li Fang*, Wang Xiaoliu. Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow. Nonlinearity 35 (2022) 6218–6240.
(7) Li Huiling, Wang Hengling, Wang Xiaoliu*, A quasilinear parabolic problem with a source term and a nonlocal absorption, Communications on Pure and Applied Analysis, 17 (2018), no. 5, 1945-1956. (与学生合作)
(6) Wang Hengling, Tao Weirun, Wang Xiaoliu*, Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral, Nonlinear Analysis Real World Applications, 40 (2018) 55-63.
（与学生合作）
(5) Wang Xiaoliu*, Tian Fangzheng, Li Gen, Nonlocal parabolic equation with conserved spatial integral, Arch. Math. (Basel) , 105 (2015) 93–100.(与学生合作)
(4) Kong Linghua,Wang Xiaoliu, Xueda Zhao*, Asymptotic analysis to a parabolic system with weighted localized sources and inner absorptions, Arch. Math. (Basel), 99 (2012) 375-386.
(3) Liu Zhe,Wang Xiaoliu*, On a parabolic equation in MEMS with fringing field, Arch. Math. (Basel), 98 (2012) 373-381.(与学生合作)
(2) Wang Xiaoliu*, Wo Weifeng, Long time behavior of solutions for a scalar nonlocal reaction-diffusion equation, Arch. Math. (Basel), 96 (2011) 483-490.
(1) Wang Mingxin*,Wang Xiaoliu, A reaction-diffusion system with nonlinear absorption terms and boundary flux, Acta Math. Appl. Sin. Engl. Ser., 24 (2008) 409-422.
V Geometry on surfaces
(1) Wang, Xiaoliu; Chao, Xiaoli*, Constant angle surfaces constructed on curves. J. Southeast Univ. (English Ed.) 29 (2013) 470–472.
