头像
Wang Xiaoliu
Associate professor
The School of Mathematics, Southeast University
Tel:
Email:
xlwang@seu.edu.cn
Address:
Post:
  • Teaching Courses: Linear Algebra, Differential Geometry, The PDEs in Differential Geometry

    Research Interest: Nonlinear PDEs, Geometric Evolution Equations

    2005.04-2006.07: Teaching Assistant, Southeast University
    2009.08-present: Lecturer and Associate Professor, Southeast University
    2016.12-2017.12:Visiting Scholar, Rutgers University
    1998.09-2005.03: undergraduate and graduate, Southeast University
    2006.08-2009.07: Ph.D, The Chinese University of Hongkong
  • Research interest: curvature flow,reaction-diffusion equation


     

    I.The curvature flows with constraint, or nonlocal flows

    (1)Tsai Dong-Ho*, Wang Xiaoliu*, The evolution of nonlocal curvature flow arising in a Hele-Shaw problem. SIAM J. Math. Anal., in press, 2018.

    (2)Sesum Natasa*, Tsai Dong-Ho, Wang Xiao-Liu, Evolution of Locally Convex Closed Curves in Nonlocal Curvature Flows. Submitted, 2017.

    (3)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)Wang Xiaoliu *, Wo Weifeng, Yang Ming, Evolution of non-simple closed curves in the area-preserving curvature flow, Proc. Roy. Soc. Edinburgh Sect. A, DOI 10.1017/S0308210517000269, 2018.

    (5)Tsai Dongho*, Wang Xiaoliu, On length-preserving and area-preserving nonlocal flow of convex closed plane curves, Calc. Var. Partial Differential Equations, 54 (2015) 36033622.

    (6)Wang Xiaoliu, Wo Weifeng*, Length-preserving evolution of non-simple symmetric plane curves, Math. Methods Appl. Sci., 37 (2014) 808-816.

    (7)Wang Xiaoliu *, Kong Linghua, Area-preserving evolution of non-simple symmetric plane curves, J. Evol. Equ., 14 (2014) 387-401.

    (8)Chao Xiaoli, Ling Xiaoran, Wang Xiaoliu *, On a planar area-preserving curvature flow, Proc. Amer. Math. Soc., 141 (2013) 1783-1789.

      

    II.The shrinking curvature flows

    (1)Wo Weifeng, Wang Xiaoliu, Qu Changzheng*, The centro-affine invariant geometric heat flow, Math. Z., DOI 10.1007/s00209-017-1890-3,2017.

    (2)Chen Wenyan, Wang Xiaoliu *, Yang Ming, Evolution of highly symmetric curves under the shrinking curvature flow, Math. Meth. Appl. Sci. 40(2017) 3775-3783.

    (3)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.

    (4)Chou Kaiseng, Wang Xiaoliu *, A note on Abresch-Langer conjecture, Proc. Roy. Soc. Edinburgh Sect. A, 144 (2014) 299-304.

    (5)Chou Kaiseng, Wang Xiaoliu *, The curve shortening problem under robin boundary condition, NoDEA Nonlinear Differential Equations Appl., 19 (2012) 177-194.

    (6)Wang Xiaoliu, Wo Weifeng*, On the asymptotic stability of stationary lines in the curve shortening problem, Pure Appl. Math. Q., 9 (2013) 493-506.

    (7)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.

    (8)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

    (1)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.

    (2)Li Huiling, Wang Hengling, Wang Xiaoliu*, A quasilinear parabolic problem with a source term and a nonlocal absorption, Communications on Pure and Applied Analysis, in press, 2018.

    (3)Wang Xiaoliu*, Tian Fangzheng, Li Gen, Nonlocal parabolic equation with conserved spatial integral, Arch. Math. (Basel) , 105 (2015) 93–100.

    (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.

    (5)Liu Zhe,Wang Xiaoliu*, On a parabolic equation in MEMS with fringing field, Arch. Math. (Basel), 98 (2012) 373-381.

    (6)Wang Xiaoliu*, Wo Weifeng, Long time behavior of solutions for a scalar nonlocal reaction-diffusion equation, Arch. Math. (Basel), 96 (2011) 483-490.

    (7)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.


  • Honors and Awards 

  •  Publications