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：
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
工作经历
专利与奖励
出版信息
发表论文
（1） Localization for general Helmholtz, J. Differential Equations, 2024, 第 3 作者
（2） Global dynamics of a two-species clustering model with Lotka-Volterra competition, NoDEA Nonlinear Differential Equations Appl., 2024, 第 3 作者
（3） Spike solutions to the supercritical fractional Gierer-Meinhardt system, Journal of Nonlinear Science, 2024, 第 4 作者
（4） Generic properties of the Rabinowitz unbounded continuum, ADVANCED NONLINEAR STUDIES, 2023, 第 4 作者
（5） Partial regularity of the fractional Gelfand-Liouville system, Discrete and Continuous Dynamical Systems, 2023, 第 3 作者
（6） Classification of Stable Solutions to a Non-Local Gelfand-Liouville Equation, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 第 11 作者
（7） Existence and stability of symmetric and asymmetric patterns for the half-Laplacian Gierer-Meinhardt system in ono-dimensional domain, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2022, 第 11 作者
（8） Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary, ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 第 4 作者
（9） Stability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain, NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 第 3 作者
（10） Generic properties of free boundary problems in plasma physics*, NONLINEARITY, 2022, 第 4 作者
（11） Blow up solutions for Sinh-Gordon equation with residual mass, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 第 3 作者
（12） On symmetry breaking of Allen-Cahn, 2021, 第 4 作者
（13） Mean field equation and relativistic Abelian Chern-Simons model on finite graphs, JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 第 3 作者
（14） On stable and finite Morse index solutions of the fractional Toda system, JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 第 2 作者
（15） On stable and finite Morse index solutions of the nonlocal Henon-Gelfand-Liouville equation, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 第 3 作者
（16） Wave equations associated with Liouville-type problems: global existence in time and blow-up criteria, ANNALI DI MATEMATICA PURA ED APPLICATA, 2021, 第 3 作者
（17） The BDF3/EP3 scheme for MBE with no slope selection is stable, JOURNAL OF SCIENTIFIC COMPUTING, 2021, 第 3 作者
（18） Partial regularity of stable solutions to the fractional Gel'fand-Liouville equation, ADVANCES IN NONLINEAR ANALYSIS, 2021, 第 11 作者
（19） On a Parabolic Sine-Gordon Model, NUMERICAL MATHEMATICS THEORY, METHODS AND APPLICATIONS, 2021, 第 4 作者
（20） A PRIORI ESTIMATES OF TODA SYSTEMS, I: THE LIE ALGEBRAS OF A(n), B-n, C-n AND G(2), JOURNAL OF DIFFERENTIAL GEOMETRY, 2020, 第 2 作者
（21） Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis, NONLINEARITY, 2020, 第 11 作者
（22） On stable and finite Morse index solutions of the nonlocal H\'{e}non-Gelfand-Liouville equation, 2020, 第 3 作者
（23） The Nonexistence of Vortices for Rotating Bose-Einstein Condensates with Attractive Interactions, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 第 3 作者
（24） Degree counting for Toda system with simple singularity: One point blow up, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 第 3 作者
（25） Classification of stable solutions to a non-local Gelfand-Liouville equation, 2020, 第 2 作者
（26） Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 第 4 作者
（27） On the Boundary Behavior for the Blow-up Solutions of the sinh-Gordon Equation and Rank N Toda Systems in Bounded Domains, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020, 第 11 作者
（28） On the general Toda system with multiple singular points, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 第 11 作者
（29） MEAN FIELD EQUATIONS ON TORI: EXISTENCE AND UNIQUENESS OF EVENLY SYMMETRIC BLOW-UP SOLUTIONS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 第 5 作者
（30） On the classification of solutions of cosmic strings equation, ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 第 11 作者
（31） Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line, JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2019, 第 11 作者
（32） Local uniqueness of m-bubbling sequences for the Gel'fand equation, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 第 4 作者
（33） Uniqueness of bubbling solutions of mean field equations, JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, 2019, 第 4 作者
（34） Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 第 11 作者
（35） A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2019, 第 2 作者
（36） EXISTENCE OF BUBBLING SOLUTIONS WITHOUT MASS CONCENTRATION, ANNALES DE L INSTITUT FOURIER, 2019, 第 3 作者
（37） Non-degeneracy, Mean Field Equations and the Onsager Theory of 2D Turbulence, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 第 4 作者
（38） ON RANK-2 TODA SYSTEMS WITH ARBITRARY SINGULARITIES: LOCAL MASS AND NEW ESTIMATES, ANALYSIS & PDE, 2018, 第 3 作者
（39） On the Topological Degree of the Mean Field Equation with Two Parameters, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2018, 第 3 作者
（40） CLASSIFICATION OF BLOW-UP LIMITS FOR THE SINH-GORDON EQUATION, DIFFERENTIAL AND INTEGRAL EQUATIONS, 2018, 第 3 作者
（41） Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 第 11 作者
（42） Degree counting and Shadow system for Toda system of rank two: One bubbling, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 第 4 作者
（43） Stable spike clusters for the precursor Gierer-Meinhardt system in R-2, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 第 3 作者
（44） Sharp estimates for solutions of mean field equations with collapsing singularity, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2017, 第 4 作者
（45） INFINITELY MANY POSITIVE SOLUTIONS OF FRACTIONAL NONLINEAR SCHRODINGER EQUATION WITH NON-SYMMETRIC POTENTIAL, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 第 3 作者
（46） Analytic aspects of the Tzitz��ica equation: blow-up analysis and existence results, Calculus of Variations and Partial Differential Equations, 2017, 第 1 作者
（47） Infinitely many positive solutions of fractional nonlinear Schr��dinger equations with non-symmetric potentials, Discrete & Continuous Dynamical Systems - A, 2017, 第 1 作者
（48） Analytic aspects of the Tzitzeica equation: blow-up analysis and existence results, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 第 2 作者
（49） ON NONRADIAL SINGULAR SOLUTIONS OF SUPERCRITICAL BIHARMONIC EQUATIONS, PACIFIC JOURNAL OF MATHEMATICS, 2016, 第 3 作者
（50） On large ring solutions for Gierer-Meinhardt system in R-3, JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 第 3 作者
（51） ON THE CLASSIFICATION OF STABLE SOLUTIONS TO BIHARMONIC PROBLEMS IN LARGE DIMENSIONS, PACIFIC JOURNAL OF MATHEMATICS, 2013, 第 3 作者
（52） Stable spike clusters for the precursor Gierer-Meinhardt system in R2, 第 3 作者
（2） Global dynamics of a two-species clustering model with Lotka-Volterra competition, NoDEA Nonlinear Differential Equations Appl., 2024, 第 3 作者
（3） Spike solutions to the supercritical fractional Gierer-Meinhardt system, Journal of Nonlinear Science, 2024, 第 4 作者
（4） Generic properties of the Rabinowitz unbounded continuum, ADVANCED NONLINEAR STUDIES, 2023, 第 4 作者
（5） Partial regularity of the fractional Gelfand-Liouville system, Discrete and Continuous Dynamical Systems, 2023, 第 3 作者
（6） Classification of Stable Solutions to a Non-Local Gelfand-Liouville Equation, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 第 11 作者
（7） Existence and stability of symmetric and asymmetric patterns for the half-Laplacian Gierer-Meinhardt system in ono-dimensional domain, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2022, 第 11 作者
（8） Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary, ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 第 4 作者
（9） Stability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain, NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 第 3 作者
（10） Generic properties of free boundary problems in plasma physics*, NONLINEARITY, 2022, 第 4 作者
（11） Blow up solutions for Sinh-Gordon equation with residual mass, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 第 3 作者
（12） On symmetry breaking of Allen-Cahn, 2021, 第 4 作者
（13） Mean field equation and relativistic Abelian Chern-Simons model on finite graphs, JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 第 3 作者
（14） On stable and finite Morse index solutions of the fractional Toda system, JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 第 2 作者
（15） On stable and finite Morse index solutions of the nonlocal Henon-Gelfand-Liouville equation, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 第 3 作者
（16） Wave equations associated with Liouville-type problems: global existence in time and blow-up criteria, ANNALI DI MATEMATICA PURA ED APPLICATA, 2021, 第 3 作者
（17） The BDF3/EP3 scheme for MBE with no slope selection is stable, JOURNAL OF SCIENTIFIC COMPUTING, 2021, 第 3 作者
（18） Partial regularity of stable solutions to the fractional Gel'fand-Liouville equation, ADVANCES IN NONLINEAR ANALYSIS, 2021, 第 11 作者
（19） On a Parabolic Sine-Gordon Model, NUMERICAL MATHEMATICS THEORY, METHODS AND APPLICATIONS, 2021, 第 4 作者
（20） A PRIORI ESTIMATES OF TODA SYSTEMS, I: THE LIE ALGEBRAS OF A(n), B-n, C-n AND G(2), JOURNAL OF DIFFERENTIAL GEOMETRY, 2020, 第 2 作者
（21） Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis, NONLINEARITY, 2020, 第 11 作者
（22） On stable and finite Morse index solutions of the nonlocal H\'{e}non-Gelfand-Liouville equation, 2020, 第 3 作者
（23） The Nonexistence of Vortices for Rotating Bose-Einstein Condensates with Attractive Interactions, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 第 3 作者
（24） Degree counting for Toda system with simple singularity: One point blow up, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 第 3 作者
（25） Classification of stable solutions to a non-local Gelfand-Liouville equation, 2020, 第 2 作者
（26） Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 第 4 作者
（27） On the Boundary Behavior for the Blow-up Solutions of the sinh-Gordon Equation and Rank N Toda Systems in Bounded Domains, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020, 第 11 作者
（28） On the general Toda system with multiple singular points, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 第 11 作者
（29） MEAN FIELD EQUATIONS ON TORI: EXISTENCE AND UNIQUENESS OF EVENLY SYMMETRIC BLOW-UP SOLUTIONS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 第 5 作者
（30） On the classification of solutions of cosmic strings equation, ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 第 11 作者
（31） Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line, JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2019, 第 11 作者
（32） Local uniqueness of m-bubbling sequences for the Gel'fand equation, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 第 4 作者
（33） Uniqueness of bubbling solutions of mean field equations, JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, 2019, 第 4 作者
（34） Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 第 11 作者
（35） A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2019, 第 2 作者
（36） EXISTENCE OF BUBBLING SOLUTIONS WITHOUT MASS CONCENTRATION, ANNALES DE L INSTITUT FOURIER, 2019, 第 3 作者
（37） Non-degeneracy, Mean Field Equations and the Onsager Theory of 2D Turbulence, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 第 4 作者
（38） ON RANK-2 TODA SYSTEMS WITH ARBITRARY SINGULARITIES: LOCAL MASS AND NEW ESTIMATES, ANALYSIS & PDE, 2018, 第 3 作者
（39） On the Topological Degree of the Mean Field Equation with Two Parameters, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2018, 第 3 作者
（40） CLASSIFICATION OF BLOW-UP LIMITS FOR THE SINH-GORDON EQUATION, DIFFERENTIAL AND INTEGRAL EQUATIONS, 2018, 第 3 作者
（41） Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 第 11 作者
（42） Degree counting and Shadow system for Toda system of rank two: One bubbling, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 第 4 作者
（43） Stable spike clusters for the precursor Gierer-Meinhardt system in R-2, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 第 3 作者
（44） Sharp estimates for solutions of mean field equations with collapsing singularity, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2017, 第 4 作者
（45） INFINITELY MANY POSITIVE SOLUTIONS OF FRACTIONAL NONLINEAR SCHRODINGER EQUATION WITH NON-SYMMETRIC POTENTIAL, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 第 3 作者
（46） Analytic aspects of the Tzitz��ica equation: blow-up analysis and existence results, Calculus of Variations and Partial Differential Equations, 2017, 第 1 作者
（47） Infinitely many positive solutions of fractional nonlinear Schr��dinger equations with non-symmetric potentials, Discrete & Continuous Dynamical Systems - A, 2017, 第 1 作者
（48） Analytic aspects of the Tzitzeica equation: blow-up analysis and existence results, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 第 2 作者
（49） ON NONRADIAL SINGULAR SOLUTIONS OF SUPERCRITICAL BIHARMONIC EQUATIONS, PACIFIC JOURNAL OF MATHEMATICS, 2016, 第 3 作者
（50） On large ring solutions for Gierer-Meinhardt system in R-3, JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 第 3 作者
（51） ON THE CLASSIFICATION OF STABLE SOLUTIONS TO BIHARMONIC PROBLEMS IN LARGE DIMENSIONS, PACIFIC JOURNAL OF MATHEMATICS, 2013, 第 3 作者
（52） Stable spike clusters for the precursor Gierer-Meinhardt system in R2, 第 3 作者
科研活动
科研项目
（ 1 ） 高阶Liouville方程若干问题的研究, 负责人, 国家任务, 2022-01--2025-12
（ 2 ） Toda系统和平均场方程的若干问题研究, 负责人, 国家任务, 2019-01--2021-12
（ 3 ） 中科院率先行动“****”C类候选人, 负责人, 中国科学院计划, 2018-02--2020-02
（ 2 ） Toda系统和平均场方程的若干问题研究, 负责人, 国家任务, 2019-01--2021-12
（ 3 ） 中科院率先行动“****”C类候选人, 负责人, 中国科学院计划, 2018-02--2020-02
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
（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
已指导学生
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
高敏 硕士研究生 070104-应用数学