Chien Wei-zhang. Variational Principles and Generalized Variational Principles in Hydrodynamics of Viscous Fluids[J]. Applied Mathematics and Mechanics, 1984, 5(3): 305-322.
Citation: Chien Wei-zhang. Variational Principles and Generalized Variational Principles in Hydrodynamics of Viscous Fluids[J]. Applied Mathematics and Mechanics, 1984, 5(3): 305-322.

Variational Principles and Generalized Variational Principles in Hydrodynamics of Viscous Fluids

  • Received Date: 1983-11-13
  • Publish Date: 1984-06-15
  • In this paper, the variational principles of hydrodynamic problems for the incompressible and compressible viscous fluids are established. These principles are principles of maximum power losses. Their generalized variational principles are also discussed on the basis of Lagrangian multiplier methods.
  • loading
  • [1]
    (1) Lin,C.C.(林家翘) and L.Rubinov,On the flow behind curved shocks,Journal of Mathematics and Physics,Vol.27,(1948).105-129.
    [2]
    (2) Skobeikin,V.I.,Variational principles in hydrodynamics,Soviet Physics JETP,Vol.4,No.1,(1957),68-71.
    [3]
    (3) Guderley,K.G.,An extremum principle for three-dimensional compressible inviscid flows,SIAM,Journal of Applied Mathematics,Vol.23,No.2,(1972),259-275.
    [4]
    (4) Morice,P.,Un Principe Variational et ume Méthode de Résolution Numérique par Elements Finis pour des Ecoulements Avec Frontiers Libres,Paper presented at ⅫⅠ Symposium of Dgnamics of Fluids,Kortawo,Poland,Sept.(1977).
    [5]
    (5) Manwell,A.R.,A variational principle for steady Honenergie compressible flow with finite shocks,Wave Motion,Vol.2,(1980),83-95.
    [6]
    (6) Hafez,M.and D.Lovell,Numerical solution of transonic stream function equation,AIAA Journal,vol.21,No.3,(1983).
    [7]
    (7) 钱伟长,高阶拉氏乘子法和弹性理论中更一般的广义变分原理.应用数学和力学.4,2(1983),137-150.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1915) PDF downloads(1051) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return