Bruce R Fabijonas and Darryl D Holm 2004 J. Phys. A: Math. Gen. 37 7609 doi:10.1088/0305-4470/37/30/015
Bruce R Fabijonas1 and Darryl D Holm2,3
Show affiliationsThe energy of an nth-gradient fluid depends on its Eulerian velocity gradients of order n. A variational principle is introduced for the dynamics of nth-gradient fluids and their properties are reviewed in the context of Noether's theorem. The stability properties of Craik–Criminale solutions for first and second gradient fluids are examined.
Issue 30 (30 July 2004)
Received 26 February 2004, in final form 21 May 2004
Published 14 July 2004
Bruce R Fabijonas and Darryl D Holm 2004 J. Phys. A: Math. Gen. 37 7609
Z. Eisler and J. Kertész 2007 EPL 77 28001
K. Matia et al 2004 Europhys. Lett. 66 909
W. F. Brisken et al. 2003 The Astronomical Journal 126 3090
Jianghui Ji et al 2003 ApJ 591 L57
Su Li et al 2009 Nanotechnology 20 495604