070104-应用数学

非线性发展方程

2004-09--2009-06   复旦大学数学科学学院   博士

   

（1） 上海市优秀博士学位论文, 省级, 2011

   

（1） Global stability of Keller--Segel Systems in Critical Lebesgue Spaces, Discrete Con. Dyn. Syst. Ser. A, 2020, 第 1 作者
（2） Global existence for a kinetic model of pattern formation with density-suppressed motilities, Journal of Differential Equations, 2020, 第 2 作者
（3） Eventual Smoothness and Exponential Stabilization of Global Weak Solutions to Some Chemotaxis Systems, SIAM J. Math. Anal., 2019, 第 1 作者
（4） Global stability of homogeneous steady states in scaling-invariant spaces for a Keller–Segel–Navier–Stokes system, J. Different. Equations, 2019, 第 1 作者
（5） Convergence to equilibria of global solutions to a degenerate quasilinear Keller–Segel system, Z. Angew. Math. Phys., 2018, 第 1 作者
（6） Blow-up for a three dimensional Keller–Segel model with consumption of chemoattractant, Journal of Differential Equations, 2018, 第 1 作者
（7） Two-Phase Incompressible Flows with Variable Density: An Energetic Variational Approach, Discrete and Continuous Dynamical Systems-A, 2017, 第 1 作者
（8） Well-posedness and long-time behavior of a non- autonomous Cahn-Hilliard-Darcy system with mass source modeling tumor growth, J. Different. Equations, 2015, 第 1 作者
（9） Global existence and asymptotic behavior of solutions to a chemotaxis fluid system on general bounded domains, Asymptotic Analysis, 2015, 第 1 作者
（10） Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas, Z. Angew. Math. Phys., 2014, 第 1 作者
（11） Global solution to the drift-diffusion-Poisson system for semiconductors with nonlinear recombination-generation rate, Asymptotic Analysis, 2013, 第 2 作者
（12） Counting the Set of Equilibria for a One-Dimensional Full Model for Phase Transitions with Microscopic Movements, Quarterly of Applied Mathematics, 2012, 第 1 作者
（13） Finite dimensional global and exponential attractors for a class of coupled time-dependent Ginzburg-Landau equations, Scinece China Mathematics, 2012, 第 1 作者
（14） Longtime Behavior of Solutions to a Strongly Nonlinear Phase Transition Model with Micro-Movements, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012, 第 1 作者
（15） Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas, Journal of Mathematical Physics, 2012, 第 1 作者
（16） Asymptotic Behavior of Solutions to a One-Dimensional Full Model for Phase Transitions with Microscopic Movements, Discrete and Continuous Dynamical Systems-A, 2011, 第 1 作者
（17） Convergence to equilibrium for a fully hyperbolic phase field model with Cattaneo heat flux law, Mathematical Methods in the Applied Sciences, 2009, 第 1 作者
（18） On Convergence to Equilibria for a Chemotaxis Model with Volume-filling Effect, Asymptotic Analysis, 2009, 第 1 作者
（19） Convergence to equilibrium for a parabolic-hyperbolic phase field model with Cattaneo heat flux law, Journal of Mathematical Analysis and Applications, 2008, 第 1 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, 主持, 国家级, 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, 国家级, 2014-01--2017-12

（1）eng, Well-posedness and long-time behavior of a non- autonomous Cahn-Hilliard-Darcy system with mass source modeling tumor growth   2015-12-19

现指导学生

李海霞  硕士研究生  070101-基础数学