数学与统计公司教师简介——刘宏亮
发布时间：2022-10-11 浏览次数：229
刘宏亮
博士
Email: math_lhliang@163.com
研究方向：流体力学中的偏微分方程、有限时间稳定性理论及应用
主讲课程：
（1）本科生：高等数学，数学分析，概率论与数理统计
（2）研究生：偏微分方程，常微分方程定性与稳定性理论
科研项目：
湖南省教育厅一般项目：基于Morse理论的基尔霍夫方程解的存在性及其性态研究，项目编号：17C1364，1万，2017.09-2019.12，主持，结题；
中国博士后科学基金面上项目：多智能体系统的有限时间编队问题的研究，项目编号：2018M633700， 5万，2018.05-2019.12，主持，结题；
湖南省环保科研课题：某退役铀尾矿库核素迁移行为和控制方案研究，项目编号：湘财建二指（2019）0011号，5万，2019.12-2021.12，主持，在研；
湖南省自然科学基金省市联合基金项目：基于数据建模的核退役尾矿库周边生态稳定性的研究，项目编号：2020JJ6003，10万，2020.01-2022.12，主持，在研；
湖南省教育厅重点项目：基于无人机集群算法的铀尾矿库区放射性污染带精准定位方法研究,项目编号：20A425，8万，2021.01-2023.12，主持，在研；
学术成果：
Hongliang Liu, Haibo Chen, Xiaoxia Yang,Multiple solutions for superlinear Schrödinger-Poisson system with sign-changing potential and nonlinearity, Computational & Applied Mathematics 68 (12), (2014), 1982–1990.
Hongliang Liu, Haibo Chen,Ground-state solution for a class of biharmonic equations including critical exponent.Zeitschriftfür angewandte Mathematik und Physik. 66(6), (2015), 3333–3343.
Liu, Hongliang, Chen, Haibo, Least energy nodal solution for quasilinear biharmonic equations with critical exponent in Rn, Applied Mathematics Letters. 48 (2015), 85–90.
Hongliang Liu, Haibo Chen, Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential, Electronic Journal of Differential Equations, 2015 (2015), 274, 1-9.
Hongliang Liu, Haibo Chen, Gangwei Wang, Multiplicity for 4-sublinear Schrödinger-Poisson system with sign-changing potential vial Morse theory, Comptes Rendus de l'Académie des Sciences - Series I 354 (2016) 75-80.
Hongliang Liu, Haibo Chen, Xiaoxia Yang,Least energy sign-changing solutions for nonlinear Schrödinger equations with indefinite-sign and vanishing potential. Applied Mathematics Letters 53 (2016), 100–106.
Haibo Chen, Hongliang Liu*, Liping Xu, Existence and multiplicity of solutions for nonlinear Schrödinger-Kirchhoff-type equations, Journal of the Korean Mathematical Society. 53(1), (2016), 201-215.
Hongliang Liu, Haibo Chen, Multiple solutions for a nonlinearSchrödinger–Poisson system with sign-changing potential, Computational & Applied Mathematics71 (7), (2016), 1405-1416.
Hongliang Liu, Haibo Chen, Qizhen Xiao,Ground state solutions for a quasilinear Kirchhoff type equation, Electronic Journal of Qualitative Theory of Differential Equations. 2016, No. 90,1-14.
10.Hongliang Liu, Haibo Chen*, Qizhen Xiao, Positive ground state solutions for a class of Schrodinger–Poisson systems with sign-changing and vanishing potential,Mathematical Methods in the Applied Sciences,40(6) (2017), 1937-1948.
Hongliang Liu, Zhisu Liu*, Qizhen Xiao, Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity,Applied Mathematics Letters. 79 (2018), 176–181.
Hongliang Liu, Qizhen Xiao*, Hongxia Shi, Haibo Chen and Zhisu Liu, Ground state and nodal solutions for a class of biharmonic equations with singular potentials,Journal of Applied Analysis and Computation, 9(4), (2019) 1393-1406.
Hongliang Liu*, Xiao Wang, Yicheng Liu, Xiang Li,On non-collision flocking and line-shaped spatial configuration for a modified singular Cucker-Smale model,Communications in Nonlinear Science and Numerical Simulation, 75 (2019), 280-301.
Qizhen Xiao, Hongliang Liu*,Xiao Wang, Yao Huang, A note on the fixed-time bipartite flocking for nonlinear multi-agent systems, Applied Mathematics Letters. 99 (2020) 105973.
Hongliang Liu, Xiao Wang*, Xiang Li, Yicheng Liu, Finite-time flocking and collision avoidance for second-order multi-agent systems, International Journal of Systems Science,51(1), (2020),102–115.
Ye Cheng, Bao Shi,Hongliang Liu*, An improved class of fixed-time consensus protocols for multi-agent systems.Journal of Applied Mathematics and Computing.63, (2020) , 439-454.
Hongliang Liu*, Xiao Wang, Yao Huang, Yicheng Liu,A new class of fixed-time bipartite flocking protocols for multi-agent systems,Applied Mathematical Modelling,84, (2020), 501-521.
Qizhen Xiao,Hongliang Liu*,Yinkun Wang, An Improved Finite-Time and Fixed-Time Stable Synchronization of Coupled Discontinuous Neural Networks,IEEE Transactions on Neural Networks and Learning Systems,2021,(DOI: 10.1109/TNNLS.2021.3116320)
获奖情况
湖南省自然科学三等奖（2021，排名第三）