Liang Li-fu, Shi Zhi-fei. On the Inverse Problem in Calculus of Variations[J]. Applied Mathematics and Mechanics, 1994, 15(9): 775-788.
Citation: Liang Li-fu, Shi Zhi-fei. On the Inverse Problem in Calculus of Variations[J]. Applied Mathematics and Mechanics, 1994, 15(9): 775-788.

On the Inverse Problem in Calculus of Variations

  • Received Date: 1994-04-01
  • Publish Date: 1994-09-15
  • The inverse problem in calculus of variation is studied.By introducing a newconcept called Varialional Integral,a new method to systematically study the inverse problem in calculus of rariations is given.Using this new method to the elastodynamics and hydrodynamics of viscous fhuids some kinds of variaiional principles and generalized variational prineiples are obtained respectively.
  • loading
  • [1]
    刘殿魁、张其浩,弹性理论中非保守间题的一般变分原理,力学学报,6(1981).
    [2]
    钱伟长,《变分法及有限元》(上册),科学出版社(1980).
    [3]
    胡海昌,《弹性力学的变分原理及其应用》.科学出版社(1981).
    [4]
    Gurtin.M.E.,Variational PrinciPlos for linear clasto-dynamics,Arch.Rat.Mech.,16(1964).
    [5]
    罗恩,关于线弹性动力学中各种Gortin型变分原理,中国科学(A),9(1987).
    [6]
    Lin,C.C.(林家翘)and L.Rubinow,on the flow behind curved shocks,Journal of Mathematics and Physics,27(1948),105-129.
    [7]
    钱伟长,粘性流体力学的变分原理和广义变分原理,应用数学和力学,5(3)(1984),305-322.
  • 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 (2260) PDF downloads(837) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return