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We demonstrate that the Navier-Stokes equation can be covariantized under the full infinite dimensional Galilean Conformal Algebra (GCA), such that it reduces to the usual Navier-Stokes equation in an inertial frame.
Landau and Lifshitz, “Fluid Mechanics”, Pergamon Press (1959), Chapter 2
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J. Lukierski, P. C. Stichel and W. J. Zakrzewski, “Galilean-invariant (2+1)-dimensional models with a Chern-Simons-like term and D = 2 noncommutative geometry,” Annals Phys. 260
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Carlos Leiva and Mikhail S. Plyushchay, "Conformal symmetry of relativistic and nonrelativistic systems and Ads / CFT correspondence," Ann.Phys.307:372-391,2003,. [hep-th/0301244]
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N. A. Nekrasov, “Seiberg-Witten Prepotential From Instanton Counting,” Adv. Theor. Math. Phys. 7
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P. Kovtun, D. T. Son and A. O. Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics,” Phys. Rev. Lett. 94
2005
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J. Lukierski, P. C. Stichel and W. J. Zakrzewski, “Exotic Galilean conformal symmetry and its dynamical realisations,” Phys. Lett. A 357
2006
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2008
2008
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2008
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2009
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A. Bagchi and R. Gopakumar, “Galilean Conformal Algebras and AdS/CFT,” arXiv:0902.1385 [hep-th]
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Cited in the paper.
2009
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