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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,现任东南大学副教授、硕士生导师、应用数学系系主任、数学学院行政助理。 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:《解析几何》、《微分几何》、《微分流形》、《几何与代数》、《线性代数》等;研究生课程:《几何分析》。
    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。
  •   在曲率流及相关抛物型方程问题方面,获得了一些较为有意义的结果。在国内外核心期刊上发表论文多篇,文章所在期刊包括《Calc. Var. PDE》,《Math. Z.》,《SIAM J. Math. Anal.》等。作为负责人主持完成了1项国家自然科学基金青年项目



    2018 Spring Seminars: Please click 讨论班2018春季.docx 




    Pulications:


    I.The curvature flows with constraint, or nonlocal flows

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

    (2)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.

    (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) 3603-3622.

    (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.,288 (2018), no. 1-2, 311-331.

    (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)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.

    (2)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.

    (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.


  • 承担项目

     

    1主持国家自然科学青年基金项目1项:平面曲率流大时间性态的研究,20121月—201412月,已结题;

      

    2. 主持中国博士后特别资助基金项目1项:非局部曲率流奇性与整体渐近性的研究,2016年9月—2018年8月,在研;

      

    3. 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,在研;

      

      

    4.参与国家自然科学基金青年基金项目1项:波和Schr\“{O}dinger方程的随机化初值问题,20111月— 201312月,已结题;

      

    参与国家自然科学基金面上项目1项:具奇性边界条件的非线性椭圆及发展方程(组)解的研究,20121月—201512月,在研;

      

    6参与江苏省自然科学基金面上项目1项:具奇性项的非线性偏微分方程()解的结构与性质,201110月—201410月,已结题;

      

      

    荣誉奖项  

      

    2011年获东大教育基金会71871奖教金二等奖

    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

    2014年获东大教学奖励金二等奖。

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