| A NEW APPROACH TO THE NONLINEAR STABILITY OF PARALLEL SHEAR FLOWS |
| |
| 作者姓名： | XULan-xi HUANGYong-nian |
| |
| 作者单位： | [1]DepartmentofMathematics,BeijingUniversityofChemicalTechnology,Beijing100029,China [2]DepartmentofMechanicsandEngineeringScience,StateKeyLaboratoryforTurbulenceResearch,PekingUniversity,Beijing100871,China |
| |
| 摘 要： | Lyapunov‘s second method was used to study the nonlinear stability of parallel shear flows for stress-free boundaries. By introducing an energy functional, it was shown that the plane Couette and plane Poiseuille flows are conditionally and asymptotically stable for all Reynolds numbers. In particular, to two-dimensional perturbations, by defining new energy functionals the unconditional stability of the basic flows was proved.
|
| 关 键 词： | 非线性稳定性 能量函数 平行剪切流 雷诺兹数 极面-螺旋分解 |
A NEW APPROACH TO THE NONLINEAR STABILITY OF PARALLEL SHEAR FLOWS |
| |
| XULan-xi HUANGYong-nian.A NEW APPROACH TO THE NONLINEAR STABILITY OF PARALLEL SHEAR FLOWS[J].Journal of Hydrodynamics,2005,17(1):58-65. |
| |
| Authors: | XU Lan xi |
| |
| Affiliation: | XU Lan xiDepartment of Mathematics,Beijing University of Chemical Technology,Beijing 100029,ChinaHUANG Yong nianDepartment of Mechanics and Engineering Science,State Key Laboratory for Turbulence Research,Peking University,Beijing 100871,China |
| |
| Abstract: | |
| |
| Keywords: | nonlinear stability energy functional parallel shear flows Reynolds number poloidal toroidal decomposition |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
