On the Nonlinear Stability of Laminar Flow Between Parallel Planes

摘要：

　　The nonlinear stability of laminar flow between parallel planes for rigid boundary condition has been studied using Lyapunovs second method.By defining an energy functional it is proved that the laminar basic flow,which includes plane Couette flow and plane Poiseuille flow as special cases,is nonlinearly unconditionally and asymptotically stable for all Reynolds numbers if the perturbations are two-dimensional and depend only on y,z and t.

作者: W.LAN L.XU

作者单位: Department of Mathematics, Beijing University of Chemical Technology, 15 Beisanhuan East Road, Box 66, Beijing 100029, China

会议类型: 国际会议

会议名称: Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)

会议地点: 上海

会议语种:英文

页码: 253-256

在线出版日期: 2013-08-01（万方平台首次上网日期，不代表论文的发表时间）