教育经历 2004.9 - 2008.7：南昌大学，数学与应用数学专业，本科毕业，获理学学士学位。 2008.9 - 2014.6：中山大学，基础数学专业，研究生毕业，获理学博士学位。 2012.10 - 2013.10：德国汉诺威大学（Leibniz Universität Hannover），进修或培训。 工作经历 2015.3 - 2018.10：华中科技大学数学与统计学院，担任讲师。 2018.10 - 2024.1：华中科技大学数学与统计学院，担任副教授。 2019.12 - 2021.12：香港城市大学数学系，作为香江学者。 2024.1 - 至今：华中科技大学，担任教授。

非线性偏微分方程

（1）具有尖峰孤立子解的浅水波模型的各类定解问题的适定性，强解的整体存在和爆破现象，以及弱解的存在性等问题； （2）流体力学的数学理论研究。

[1] On the Cauchy problem for a two-component b-family system with high order nonlinearity.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, [2] ON THE BLOW UP SOLUTIONS TO A TWO-COMPONENT CUBIC CAMASSA-HOLM SYSTEM WITH PEAKONS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, [3] Wave breaking and global existence for a family of peakon equations with high order nonlinearity.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, [4] Persistence properties and asymptotic behavior for a two-component b-family system with high order nonlinearity.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, [5] Blow-up data for a two-component Camassa-Holm system with high order nonlinearity.Journal of Differential Equations,2023,256-294 [6] Kai Yan; Yue Liu,The initial-value problem to the modified two-component Euler-Poincare equations.SIAM Journal on Mathematical Analysis,2022,2006-2039 [7] N., Lian； Kai Yan.On the Cauchy problem for a two-component b-family system with high order nonlinearity.Journal of Mathematical Analysis and Applications,2020,123818, 29 pp [8] N., Lian； Kai Yan.Persistence properties and asymptotic behavior for a two-component b-family system with high order nonlinearity.Nonlinear Analysis: Real World Applications,2020,103043, 13 pp. [9] Kai Yan,On the blow up solutions to a two-component cubic Camassa-Holm system with peakons.Discrete and Continuous Dynamical Systems:Series A,2020,4565–4576 [10] Kai Yan,Wave breaking and global existence for a family of peakon equations with high order nonlinearity.Nonlinear Analysis: Real World Applications,2019,721-735