学术报告（一）

报告题目：Stability analysis of Stochastic Differential Equations

报 告 人：Prof. Rakkiyappan Rajan

报告时间：2018年12月24日  9:00-10:00

报告地点：数统院307报告室

报告摘要：

Stochastic differential equations (SDEs) have come to play an importantrole in many branches of science and industry. An area of particular interest has been the automatic control of SDEs, with consequent emphasis being placed on the analysis of stability. This talk will demonstrate the manifestations of the method of Lyapunov functions in the study of stochasticst ability. The course will not only address the classical stability inprobability and the modern exponential stability and stochastic stabilization but also discuss the new developments on stochastic stability of neural networks with time delays.

报告人简介：

Rakkiyappan Rajan was an undergraduate student in the field of Mathematics during 1999-2002 from Sri Ramakrishna Mission Vidyalaya College of Arts and Science and a post graduate in Mathematics from PSG Collegeof Arts and Science affiliated to Bharathiar University, Coimbatore, TamilNadu, India from 2002-2004. He was awarded his Doctor of Philosophy in the year 2011 from the Department of Mathematics, Gandhigram Rural University, Gandhigram, Tamil Nadu, India. Presently, he is an Assistant Professor at Bharathiar University. He has visited as a Research Professor the Research Center for Wind Energy Systems, Kunsan National University, 558 Daehak-ro, Gunsansi 54150, Republic. of Korea from June-2017 to May-2018. His research interests include stochastic and impulsive systems, neural networks, complex systems, and fractional order systems. To his credit, he has published more than 100 papers in international journals. 

学术报告（二）

报告题目：Nanofluidin a lid-driven cavity with uniform and non-uniform heating of bottom wall

报 告 人：Prof. M. Muthtamilselvan

报告时间：2018年12月24日  10:00-11:00

报告地点：数统院307报告室

报告摘要：

Steady state two-dimensional mixed convection in a lid-driven square cavity filled with Cu-water nanofluid is investigated numerically in the presence of internal heat generation. In the present investigation, bottom wall is uniformly and non-uniformly heated while two vertical walls are fixed and they are thermally insulated. The top wall is moving from left to right at a constant speed. The governing equations are normalized and solved numerically with boundary conditions by finite volume approach using third order accurate upwinding scheme (deferred QUICK). Effects of the pertinent physical parameters are investigated in terms of the flow and temperature fields, as well as Nusselt number distributions. The presented results show that the solid volume fraction plays a significant role on the flow and thermal fields and the Nusselt number distributions for different flow configurations. It is found that Richardson number strongly affect the fluidflow and heat transfer in the cavity. For Ri < 1, the forced convection becomes dominant in the entire cavity, the natural convection relatively weak.

报告人简介：

M. Muthtamilselvan received his Ph.D. in 2008 from the Department of Mathematics, Bharathiar University, India. He is currently professor at the Department of Mathematics, Bharathiar University. His research interests are Computational Fluid Dynamics (CFD), convection in nanofluids, boundary layer flow and heat transfer analysis. He has published more than 45 articles in International journals. He guided 4 Ph.D and 27 M.Phil. students in the Applied Mathematics area.