报告人: 王晚生（长沙理工大学）

报告题目: Dissipativity of the linearly implicit Euler scheme for Navier-Stokes equations with delay

报告摘要: In this paper we study the dissipativity of the linearly implicit Euler scheme for the 2D Navier-Stokes equations with time delay volume forces (NSD). This scheme can be viewed as an application of the implicit Euler scheme to linearized NSD. Therefore only a linear system is needed to solve at each time step. The main results we obtain are that this scheme is $L^2$ dissipative for any time stepsize and $H^1$ dissipative under a time-step constraint. As a consequence, the existence of a numerical attractor of the discrete dynamical system is established. A by-product of the dissipativity analysis of the linearly implicit Euler scheme for NSD is that the dissipativity of an implicit-explicit scheme for the celebrated Navier-Stokes equations that treats the volume forces term explicitly is obtained.

报告人简介:王晚生, 长沙理工大学教授, 一直从事微分方程数值解研究工作，在《Numer. Math.》、《SIAM J. Sci. Comput.》等计算数学重要期刊上发表学术论文40余篇。其研究成果曾获湖南省自然科学奖二等奖、霍英东青年教师奖三等奖、中国计算数学学会优秀青年论文竞赛二等奖等。主持完成国家自然科学基金面上项目、青年基金项目、中国博士后基金特别资助项目等。曾获美国数学会Ky & Yu-Fen Fan基金资助访问加州大学尔湾分校，获国家留学基金委资助访问剑桥大学。现为中国系统仿真学会仿真算法专业委员会委员、湖南省数学会常务理事及湖南省新世纪“121人才工程”第二层次人选。

报告时间: 2017年6月5日星期一晚7:30-8:30      

报告地点: 科技楼南楼702室