基本信息
杨文  男  博导  中国科学院精密测量科学与技术创新研究院
电子邮件: wyang@wipm.ac.cn
通信地址: 武汉市武昌小洪山西30号新波谱楼1109室
邮政编码:

招生信息

   
招生专业
070101-基础数学
070104-应用数学
招生方向
非线性椭圆型偏微分方程

教育背景

2013-08--2015-07   加拿大英属哥伦比亚大学   博士
2010-08--2012-07   香港中文大学   硕士
2006-09--2010-06   武汉大学   学士

工作经历

   
工作简历
2019-04~现在, 中国科学院武汉物理与数学研究所, 研究员
2018-02~2019-03,中国科学院武汉物理与数学研究所, 副研究员
2017-06~2018-02,香港理工大学, 博士后
2015-09~2017-04,台湾大学, 博士后

出版信息

   
发表论文
(1) On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation, Calc. Var. Partial Differential Equations, 2021, 第 3 作者
(2) On stable and finite Morse index solutions of the fractional Toda system, J. Funct. Anal., 2021, 第 2 作者
(3) On the boundary behavior for the blow-up solutions of the sinh-Gordon equation and rank N Toda systems in bounded domains, Int. Math. Res. Not. IMRN, 2020, 第 3 作者
(4) The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions, Arch. Ration. Mech. Anal., 2020, 第 3 作者
(5) Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis, Nonlinearity, 2020, 第 3 作者
(6) On the general Toda system with multiple singular points, Calc. Var. Partial Differential Equations, 2020, 第 3 作者
(7) Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions, Discrete Contin. Dyn. Syst., 2020, 第 5 作者
(8) Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data, J. Differential Equations, 2020, 第 4 作者
(9) A priori estimates of Toda systems, I: the Lie algebras of An, Bn, Cn and G2, J. Differential Geom., 2020, 第 3 作者
(10) Degree counting for Toda system with simple singularity: one point blow up, J. Differential Equations, 2020, 第 4 作者
(11) On the classification of solutions of cosmic strings equation, Ann. Mat. Pura Appl., 2019, 第 2 作者
(12) Existence of bubbling solutions without mass concentration, Ann. Inst. Fourier (Grenoble), 2019, 第 3 作者
(13) Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass, Comm. Partial Differential Equations, 2019, 第 3 作者
(14) Local uniqueness of m-bubbling sequences for the Gelʹfand equation, Comm. Partial Differential Equations, 2019, 第 4 作者
(15) A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects, Proc. Roy. Soc. Edinburgh Sect. A, 2019, 第 2 作者
(16) Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line, J. Dynam. Differential Equations, 2019, 第 2 作者
(17) Uniqueness of bubbling solutions of mean field equations, J. Math. Pures Appl., 2019, 第 4 作者
(18) Non-degeneracy, mean field equations and the Onsager theory of 2D turbulence, Arch. Ration. Mech. Anal., 2018, 第 4 作者
(19) On rank-2 Toda systems with arbitrary singularities: local mass and new estimates, Analysis & PDE, 2018, 第 3 作者
(20) On the topological degree of the mean field equation with two parameters, Indiana University Mathematics Journal, 2018, 第 3 作者
(21) Degree counting and Shadow system for Toda system of rank two: One bubbling, Journal of Differential Equations, 2018, 第 4 作者
(22) Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials, Discrete & Continuous Dynamical Systems - A, 2017, 第 3 作者
(23) Sharp estimates for solutions of mean field equations with collapsing singularity, Communications in Partial Differential Equations, 2017, 第 4 作者
(24) Stable spike clusters for the precursor Gierer-Meinhardt system in R^2, Calculus of Variations and Partial Differential Equations, 2017, 第 3 作者
(25) Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results, Calculus of Variations and Partial Differential Equations, 2017, 第 2 作者
(26) On nonradial singular solutions of supercritical biharmonic equations, Pacific Journal of Mathematics, 2016, 第 3 作者
(27) On large ring solutions for Gierer-Meinhardt system in R^3, Journal of Differential Equations, 2013, 第 3 作者
(28) On the classification of stable solutions to biharmonic problems in large dimensions, Pacific Journal of Mathematics, 2013, 第 3 作者

科研活动

   
科研项目
( 1 ) 中科院率先行动“****”C类候选人, 主持, 部委级, 2018-02--2020-02
( 2 ) Toda系统和平均场方程的若干问题研究, 主持, 国家级, 2019-01--2021-12
参与会议
(1)Local mass and a priori estimate for singular Toda system   2021-05-02
(2)Sharp estimates for solutions of Mean Field equation with collapsing singularity   2019-06-18
(3)Sharp estimates for solutions of Mean Field equation with collapsing singularity   2019-06-05
(4)On the uniqueness of equilibria in the Keller-Segel model   非线性分析及其应用研讨会   2017-11-19
(5)The Lin-Ni problem in dimension 4 and 6   2013-07-14

指导学生

现指导学生

冒钱城  硕士研究生  070101-基础数学  

赵杰  硕士研究生  070101-基础数学  

张姣姣  博士研究生  070104-应用数学