Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry

被引:0
作者
Snegirev, Timofei [1 ]
机构
[1] Tomsk State Univ Control Syst & Radioelect, Lab Appl Math & Theoret Phys, Lenin Ave 40, Tomsk 634050, Russia
基金
俄罗斯科学基金会;
关键词
KINEMATICAL INVARIANCE GROUP; SCALE;
D O I
10.1103/PhysRevD.110.045003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Lagrangian formulation for perfect fluid equations which hold invariant under the l-conformal Galilei group with half-integer l is proposed. It is based on a Clebsch-type parametrization and reproduces Lagrangian description of the Euler fluid equations for l= = 1 2 . The transition from the Lagrangian formulation to the Hamiltonian one is analyzed in detail.
引用
收藏
页数:7
相关论文
共 51 条
  • [1] Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
    Andrzejewski, K.
    Galajinsky, A.
    Gonera, J.
    Masterov, I.
    [J]. NUCLEAR PHYSICS B, 2014, 885 : 150 - 162
  • [2] On dynamical realizations of l-conformal Galilei groups
    Andrzejewski, K.
    Gonera, J.
    Kosinski, P.
    Maslanka, P.
    [J]. NUCLEAR PHYSICS B, 2013, 876 (01) : 309 - 321
  • [3] [Anonymous], 1884, GESAMMELTE WERKE
  • [4] ARNOLD V, 1988, TOPOLOGICAL METHODS
  • [5] Gravity duals for nonrelativistic conformal field theories
    Balasubramanian, Koushik
    McGreevy, John
    [J]. PHYSICAL REVIEW LETTERS, 2008, 101 (06)
  • [6] Non-Abelian fluid dynamics in Lagrangian formulation
    Bistrovic, B
    Jackiw, R
    Li, H
    Nair, VP
    Pi, SY
    [J]. PHYSICAL REVIEW D, 2003, 67 (02):
  • [7] Isospin asymmetry in anomalous fluid dynamics
    Capasso, D.
    Nair, V. P.
    Tekel, J.
    [J]. PHYSICAL REVIEW D, 2013, 88 (08):
  • [8] Ricci-flat spacetimes with l-conformal Galilei symmetry
    Chernyavsky, D.
    Galajinsky, A.
    [J]. PHYSICS LETTERS B, 2016, 754 : 249 - 253
  • [9] Chaotic hyperjerk systems
    Chlouverakis, KE
    Sprott, JC
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 28 (03) : 739 - 746
  • [10] Clebsch A., 1859, J REINE ANGEW MATH, V56, P1, DOI DOI 10.1515/CRLL.1859.56.1