Lie symmetries and weak transversality

被引:0
作者
Tempesta, P [1 ]
机构
[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
关键词
weak transversality; Lie symmetries;
D O I
10.1023/A:1027326322183
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We discuss the notion of weak transversality and clarify its role in the context of Lie group theory with several examples. In particular, we present some new results concerning models of fluid dynamics.
引用
收藏
页码:1609 / 1621
页数:13
相关论文
共 32 条
  • [1] Abramowitz M., 1970, HDB MATH FUNCTIONS
  • [2] Group invariant solutions without transversality
    Anderson, IM
    Fels, ME
    Torre, CG
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 212 (03) : 653 - 686
  • [3] Bluman G. W., 1989, Symmetries and Differential Equations
  • [4] BLUMAN GW, 1969, J MATH MECH, V18, P1025
  • [5] NEW CLASSES OF SYMMETRIES FOR PARTIAL-DIFFERENTIAL EQUATIONS
    BLUMAN, GW
    REID, GJ
    KUMEI, S
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (04) : 806 - 811
  • [6] Partial Lie-point symmetries of differential equations
    Cicogna, G
    Gaeta, G
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (03): : 491 - 512
  • [7] NEW SIMILARITY REDUCTIONS OF THE BOUSSINESQ EQUATION
    CLARKSON, PA
    KRUSKAL, MD
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (10) : 2201 - 2213
  • [8] Gaeta G., 1994, Nonlinear Symmetries and Nonlinear Equations
  • [9] Gallavotti G., 2002, FDN FLUID DYNAMICS
  • [10] Temperature behaviour of vortices of a 3D thermoconducting viscous fluid
    Grassi, V
    Leo, RA
    Soliani, G
    Tempesta, P
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (3-4) : 371 - 380