研究方向：
1.非线性分析
2.应用分析
3.抛物方程
4.无穷维动力系统
目前主要兴趣：
非均衡与随机介质中的行波现象。含有空间结构的系统（主要由抛物方程及类似方程生成）的动力学的精细刻划。生态学、传染病学及材料学中应用。
主要工作
1. (with Xiaotao Lin and Hiroshi Matano), A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations, Trans.Amer.Math. Soc., 5605-5633, 2010.
2. (with Xiaoqiang Zhao), Spreading speeds and traveling waves for abstract monostable evolution systems, Journal of Functional Analysis, 259 857–903 , 2010
3．(with Xiaoqiang Zhao), Asymptotic Speeds of Spread and Traveling Waves for Monotone Semiflows with Applications, Communications on Pure and Applied Mathematics, Vol. 60, 1 – 40, 2007.
4．( with Jifa Jiang), Competitive systems with migration and the Poincare-Bendixson theorem for a 4-dimensional case, Quarterly of Applied Mathematics, Vol. 64, 483-498, 2006.
5. (with Yihong Du), Spatially A diffusive competition model with a protection zone, J. Differential Equations, Vol. 244, 61-86, 2008.
6. (with Jifa Jiang and Xiaoqiang Zhao), Saddle Point Behavior for Monotone Semiflows and Reaction-Diffusion Models, J. Differential Equations , Vol. 203, 313—330, 2004.
7． (with Yingfei Yi and Xiao-qiang Zhao), Spreading speeds and traveling waves for periodic evolution systems, Journal of Differential Equations, Vol. 231, Issue 1, 57-77, 2006.
8. Xing Liang and Jifa Jiang, Discrete infinite dimensional type-K monotone dynamical systems and time-periodic reaction diffusion systems, J. Differential Equations, Vol.189, no.1, 318-354, 2003.
9. Xing Liang and Jifa Jiang , On the finite dimensional dynamical systems with limited competition, Trans. Amer. Math. Soc., Vol.354, 3535-3554, 2002.
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