070104-应用数学
070101-基础数学

非线性发展方程

2004-09--2009-06   复旦大学数学科学学院   博士
2000-09--2004-06   山东大学数学与系统科学学院   学士

   

2009-09~2011-12,北京应用物理与计算数学研究所, 博士后

   

（1） 2021年度精密测量院突出科技成果, 研究所（学校）, 2021
（2） 上海市优秀博士学位论文, 省级, 2011

（1） On a Repulsion Keller--Segel System with a Logarithmic Sensitivity, EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2022, 通讯作者
（2） Boundedness and Exponential Stabilization in a Parabolic-Elliptic Keller-Segel Model with Signal-dependent Motilities for Local Sensing Chemotaxis, Acta Mathematica Scientia, 2022, 通讯作者
（3） Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption, Communications in Partial Differential Equations, 2022, 第 1 作者
（4） Boundedness of Classical Solutions to a Degenerate Keller-Segel Type Model with Signal-Dependent Motilities, ACTA APPLICANDAE MATHEMATICAE, 2021, 通讯作者
（5） A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller-Segel systems, MATHEMATICS IN ENGINEERING, 2021, 第 2 作者
（6） Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 通讯作者
（7） Global existence of weak solutions to a signal-dependent Keller–Segel model for local sensing chemotaxis, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 通讯作者
（8） Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility, JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 通讯作者
（9） Global existence for a kinetic model of pattern formation with density-suppressed motilities, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 通讯作者
（10） GLOBAL STABILITY OF KELLER-SEGEL SYSTEMS IN CRITICAL LEBESGUE SPACES, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 通讯作者
（11） EVENTUAL SMOOTHNESS AND EXPONENTIAL STABILIZATION OF GLOBAL WEAK SOLUTIONS TO SOME CHEMOTAXIS SYSTEMS, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 通讯作者
（12） Global stability of homogeneous steady states in scaling-invariant spaces for a Keller–Segel–Navier–Stokes system, JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 通讯作者
（13） Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 通讯作者
（14） Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 通讯作者
（15） TWO-PHASE INCOMPRESSIBLE FLOWS WITH VARIABLE DENSITY: AN ENERGETIC VARIATIONAL APPROACH, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 通讯作者
（16） Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains, ASYMPTOTIC ANALYSIS, 2015, 通讯作者
（17） Well-posedness and long-time behavior of a non-autonomous Cahn–Hilliard–Darcy system with mass source modeling tumor growth, JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 通讯作者
（18） Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 通讯作者
（19） Global solution to the drift-diffusion-Poisson system for semiconductors with nonlinear recombination-generation rate, ASYMPTOTIC ANALYSIS, 2013, 第 2 作者
（20） Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas, JOURNAL OF MATHEMATICAL PHYSICS, 2012, 通讯作者
（21） Long-time behaviour of solutions to a one-dimensional strongly nonlinear model for phase transitions with micro-movements, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2012, 通讯作者
（22） COUNTING THE SET OF EQUILIBRIA FOR A ONE-DIMENSIONAL FULL MODEL FOR PHASE TRANSITIONS WITH MICROSCOPIC MOVEMENTS, QUARTERLY OF APPLIED MATHEMATICS, 2012, 通讯作者
（23） ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A ONE-DIMENSIONAL FULL MODEL FOR PHASE TRANSITIONS WITH MICROSCOPIC MOVEMENTS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 通讯作者
（24） Finite dimensional global and exponential attractors for a class of coupled time-dependent Ginzburg-Landau equations, SCIENCE CHINA-MATHEMATICS, 2012, 第 1 作者
（25） Convergence to equilibrium for a fully hyperbolic phase-field model with Cattaneo heat flux law, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2009, 通讯作者
（26） On convergence to equilibria for a chemotaxis model with volume-filling effect, ASYMPTOTIC ANALYSIS, 2009, 通讯作者
（27） Convergence to equilibrium for a parabolic–hyperbolic phase field model with Cattaneo heat flux law, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 通讯作者

   

（ 1 ） Frémond相变热力学模型发展方程组整体解及其渐近性态, 负责人, 国家任务, 2013-01--2015-12
（ 2 ） 复杂流体中几类非线性发展方程组的适定性与渐近性态, 参与, 国家任务, 2014-01--2017-12
（ 3 ） 一类退化型生物趋化方程的数学研究, 负责人, 地方任务, 2020-03--2022-03
（ 4 ） 具有动力边界条件的Cahn-Hilliard方程及其与流体耦合系统的数学分析, 参与, 国家任务, 2021-01--2024-12
（ 5 ） 传染病时空传播动力学建模与分析, 负责人, 研究所自选, 2021-12--2024-11

（1）On a Keller–Segel System of Chemotaxis with Density-suppressed Motility   2022-03-07
（2）Well-posedness and long-time behavior of a non- autonomous Cahn-Hilliard-Darcy system with mass source modeling tumor growth   2015-12-19

已指导学生

李海霞  硕士研究生  070101-基础数学