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王小六
副教授
数学学院
应用数学系
电话:
邮箱:
xlwang@seu.edu.cn
地址:
九龙湖图书馆五楼数学学院
邮编:
  • 王小六,副教授、博士生导师,现任数学学院副院长(分管本科教学)。 专业方向为偏微分方程和几何分析。教授的课程包括,本科生课程:、《微分几何》、《线性代数》等;研究生课程:《椭圆与抛物型偏微分方程》等。 主要研究曲率流及相关抛物型方程问题,在《Calc. Var. PDE》,《 J. Differential Equations》,《 J. Funct. Anal. 》,《Math. Z.》,《SIAM J. Math. Anal.》等期刊上发表学术论文30余篇,主持完成两项国家自然科学基金项目。2021年获江苏省教学成果奖一等奖(排2),2023年入选江苏省青蓝工程学术带头人。
    工作经历
    1.2014/05-至今, 东南大学,数学系,副教授;
    2.2009/08-2014/04,东南大学,数学系,讲师;
    3.2005/04-2006/07,东南大学,数学系,助教。
    教育、研究经历
    1.2016/12-2017/12, Rutgers University,数学系,访问学者;
    2.2006/08-2009/07,香港中文大学,数学系,博士;
    3.2002/09-2005/03,东南大学,数学系,硕士;
    4.1998/09-2002/06,东南大学,数学系,本科。

  •  

    Pulications:


    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

    (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. (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

    (8) Bai Xueli, Li Fang,Wang Xiaoliu, Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow.  Accepted for publication in Nonlinearity, 2022. 

    (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.


  • 承担科研项目

     

    1. 主持国家自然科学基金面上项目1项:相变模型中界面运动方程的定性研究,2019年1月—2022年12月;


    2. 主持国家自然科学基金青年科学基金项目1项:平面曲率流大时间性态的研究,20121月—201412月;

      

    3. 承担江苏省自然科学基金面上项目1项:子流形刚性及其相关问题20167月—20196月(共同负责

      

    4. 主持东南大学优秀青年教师资助计划1项,2015年1月—2017年12月。


     

    承担教改项目


    1. 承担江苏省高等教育教学改革项目(重点项目)1项:大类培养模式下公共数学课程的教学改革与实践, 2019年12月—(共同负责)。 

      

    荣誉奖项

    2023年入选江苏省青蓝工程学术带头人

    2021年获江苏省教学成果奖一等奖(排2)  


    2014年获东大教学奖励金二等奖。  

    2013年获东大青年教师授课竞赛三等奖

    2013年获江苏省第三届数学基础课青年教师授课竞赛三等奖

    2011年获东大教育基金会71871奖教金二等奖


    以下国际交流信息只是代表学院发布,目的是便于学院的同学们了解和申请 


    2023年利兹大学数学系 3+1+1    利兹东南大学3+1+1项目(1).doc 

       

    2023年威斯康辛数学系 3+1+1    数学系硕士项目简介及申请-2023秋季入学.pdf   威斯康星大学数学系本硕3+1+1申请流程及材料.pdf


    2023年威斯康欣统计系 3+1+1 (待发布)


    2023年卢森堡大学数学系 3+1+1 

       卢森堡大学数学系 https://mmath.uni.lu

        申请手册 https://wwwen.uni.lu/media/files/fstc/communication_files/brochuremathematics2022




  • 学术任职为美国数学会《Mathematical Reviews》评论员


    担任多个SCI期刊审稿人