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杨璐

兰州大学数学与统计学院     教授   杨璐

研究方向
         主要从事无穷维耗散动力系统的长时间动力学行为的研究,在无穷维动力系统吸引子相关问题的研究中取得了一定的理论、应用成果。 
个人简历
到目前共发表论文20余篇,相关结果发表在 Transactions Amer. Math.Soc., Discrete Contin. Dyn. Syst.B,  Topol. Methods Nonlinear Anal., Nonlinear Analysis,J.Mathematical Physics 等杂志上。
2005/9 - 2008/6,兰州大学,基础数学,博士,导师:钟承奎教授
2003/9 - 2005/6,兰州大学,基础数学,硕士,导师:钟承奎教授
1999/9 - 2003/6,兰州大学,信息与计算科学,学士 
教学及指导学生情况
教学工作:《高等数学》,《复变函数》,《泛函分析》,《数学分析选讲》。 
指导研究生情况: 2013级、2015级各1名(已毕业),目前在读硕士研究生4名。
发表论文及专著
[1]L.Yang and M.H. Yang, Long-time behavior of stochastic reaction diffusion equation with dynamical boundary condition,  Discrete Contin. Dyn. Syst. B, 22(2017),2627-2650.
[2]L.Yang and X. Wang, Dynamics for the non-autonomous Berger equation with nonlinear damping,  Elec. J. Differential Equations,  278(2017), 1-14.
[3]L.Yang and Y.M. Zhang,Positive steady states and dynamics for a diffusive predator-prey system with a degeneracy , Acta Mathematica Scientia, 36(2016), 537-548.
[4]L. Yang and X. Wang , On semilinear biharmonic equations with concave-convex nonlinearities involving weight functions, Boundary Value Problems, 117(2014), 1-15.
[5]L.Yang, M.H. Yang and J. Wu, On uniform attractors for  non -autonomous p-Laplacian equation with dynamic boundary condition, Topol. Methods Nonlinear Anal., 42(2013), 169-180 .
[6]L.Yang, MH. Yang and P.E. Kloeden, Pullback attractors for non-autonomous quasi-linear parabolic equations with dynamic boundary conditions, Discrete Contin. Dyn. Syst. B,  17(2012), 2635-2651.
[7]L.Yang, Asymptotic regularity and attractors of reaction-diffusion equation with nonlinear boundary condition, Nonlinear Analysis: RWA, 13(2012),1069-1079. 
[8].L. Yang and M.H. Yang, Long-time behavior of reaction-diffusion equations with dynamical boundary condition,,Nonlinear Analysis, TMA, 74(2011), 3876–3883。
[9].L. Yang and M.H. Yang, Attractors of non-autonomous reaction-diffusion equation with nonlinear boundary condition,Nonlinear Analysis, RWA,11(2010), 3946-3954。
[10].L. Yang, Uniform attractors for the closed process and applications to the reaction-diffusion equation with dynamical boundary condition, Nonlinear Analysis, TMA, 71 (2009), 4012-4025。
[11].L. Yang, Uniform attractor for non-autonomous plate equation with a localized damping and a critical nonlinearity, Journal of Mathematical Analysis and Applications, 338 (2008), 1243-1254。
[12].L. Yang and C.K. Zhong, Global attractor for plate equation with nonlinear damping, Nonlinear Analysis, TMA,69 (2008), 3802–3810。
[13].L. Yang, Uniform attractor for non-autonomous hyperbolic equation with critical exponent, Applied Mathematics and Computation, 203 (2008), 895–902。
[14].L. Yang, A perturbation method for numerical differentiation,Applied Mathematics and Computation,199 (2008), 368–374。
项目成果
主持项目: 
国家自然科学基金青年项目,11201204, 耗散型动力系统吸引子的正则性研究,2013/01–2015/12
国家自然科学基金天元项目,10926089, 带有动态边界的无穷维动力系统的渐近行为研究,2010/01–2010/12  
参与项目: 
国家自然科学基金面上项目,11471148,非线性偏微分方程解的渐近性态研究,2015/01–2018/12
国家自然科学基金地区项目,11361053,耗散型发展方程的渐近性态研究, 2014/01–2017/12 
荣誉、获奖
社会工作
其它信息

作者:杨璐