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. 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.
