徐桂香 - 北京师范大学 - 数学科学学院

个人简介

徐桂香，籍贯江苏泰县，教授，博士生导师。 2000年毕业于南京师范大学信息与计算科学专业，获理学学士学位 2003年毕业于南京师范大学基础数学专业（导师：张吉慧教授），获理学硕士学位 2006年毕业于中国工程物理研究院北京研究生部应用数学专业（导师：苗长兴研究员），获理学博士学位，博士论文入选中物院优秀博士论文已发表30余篇学术论文。2015年获中物院科技创新奖一等奖（第三完成人）主要经历 2006年7月至2018年8月在北京应用物理与计算数学研究所工作 2008年10月任副研究员 2013年8月至2014年9月美国芝加哥大学高级研究学者（合作者：Wilhelm Schlag教授） 2018年8月28日至今在北京师范大学数学科学学院工作，教授

研究领域

主要利用现代分析（泛函分析、调和分析和半经典分析等）、数论及动力系统等理论知识研究非线性波动方程、非线性色散方程等解的长时间动力学行为，包括解的整体适定与散射问题，爆破解动力学行为的研究及孤子波解的（轨道、渐近）稳定性问题等。其中涉及外域问题及流形上的偏微分方程理论研究

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

Global solutions of the Klein-Gordon-Schrodinger system with rough data in $R^{2+1}$. (with C. Miao) J. Diff. Equat., 227(2006), 365-405. Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data. (with C. Miao and L. Zhao) J. Funct. Anal. 253(2007), 605-627. Global wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case. (with C. Miao and L. Zhao) J. Diff. Equat., 246(2009), 3715-3749. Global well-posedness and scattering for the mass-critical Hartree equation with radial data. (with C.Miao and L. Zhao) J. Math. Pures Appl., 91(2009), 49-79. Global well-posedness and uniform bound for the defocusing $H^{1/2}$-subcritical Hartree equation in $R^d$. (with C. Miao and L. Zhao) Ann I. H. Poincare, AN., 26(2009), 1831-1852. Global well-posedness for periodic mass-critical nonlinear Schrodinger equation. (with Y. Li, and Y. Wu) J. Diff. Equat.. 250:6, 15(2011), 2715-2736. Low regularity global solutions for the focusing, mass-critical NLS equation in R. (with Y. Li and Y. Wu), SIAM J. Math. Anal. 43:1 (2011), 322-340. Global well-posedness and scattering for the energy-critical, defocusing Hartree equation in $R^{1+n}$. (with C. Miao and L. Zhao) Comm. PDEs. 36(2011), 1-48. Global well-posedness for Schrodinger equation with derivative in $H^{1/2}(R)$. (with C. Miao, and Y. Wu) J. Diff. Equat. 251(2011), 2164-2195. Global wellposedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions $d\geq9$, (with C. Miao and L. Zhao) J. Diff. Equat. 251 (2011), 3381-3402. The dynamics of the 3d radial NLS with the combined terms, (with C. Miao and L. Zhao) Comm. Math. Phys., 318:3(2013), 767-808. On the dispersive estimate for the Dirichlet Schrodinger propagator and applications to energy critical NLS, (with D. Li and X. Zhang), Canad. J. Math. 66(2014), 1110-1142. Dynamics for the focusing, energy-critical nonlinear Hartree equation, (with C. Miao and Y. Wu), Forum Math., 27:1(2015), 373-447. Long time dynamics of defocusing energy critical 3+1 dimensional wave equation with potential in the radial case, (with H. Jia and B. Liu), Comm. Math. Phys. 339(2015), 353-384. Generic and non-generic behavior of solutions to defocusing energy critical wave equation with potential in the radial case, (with H. Jia, B. Liu and W. Schlag), Int. Math. Res. Not. IMRN 2017, no. 19, 5977–6035. Stability of the solitary wave for the derivative Schrodinger equation in the energy space (with C. Miao and X. Tang) Calc. Var. Partial Differential Equations, 56(2)(2017), Paper No. 45, 48pp. Solitary waves for nonlinear Schrodinger equation with derivative, (with C. Miao and X. Tang), Commun. Contemp. Math. 20 (2018), no. 4, 1750049, 27 pp. Stability of the sum of two solitary waves for (gDNLS) in the energy space, (with X. Tang) , J. Diff. Equat., 264:6(2018), 4094-4135.