梁兴
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.