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all versions are pre-publication drafts with eventual publication citations as listed

the author gratefully acknowledges the support of DARPA, the NSF, the AFOSR, and the ONR; of course, that doesn't mean they endorse what is written. neither does the university of pennsylvania. in fact, i don't think anyone except me and a few coauthors endorse the opinions expressed in these works. and even then, it's not a slam-dunk.

 

TOPOLOGICAL FLUIDS

  1. [2007] R. Ghrist, “On the contact geometry and topology of ideal fluids,” Handbook of Mathematical Fluid Dynamics, Vol. IV., 1-38.
  2. [2006] R. Ghrist and R. Komendarczyk, “Overtwisted energy-minimizing curl eigenfields,” Nonlinearity, 19(1), 41-52.
  3. [2005] J. Etnyre and R. Ghrist, “Generic hydrodynamic instability for curl eigenfields,” SIAM J. Appl. Dynamical Systems, 4(2), 377-390.
  4. [2002] J. Etnyre and R. Ghrist, “Contact topology and hydrodynamics II: Solid tori,” Ergod. Thy. & Dyn. Sys., 22(3), 819-833.
  5. [2002] J. Etnyre and R. Ghrist, “Contact topology and Anosov flows,” Top. & its Appl., 124 (2), 211-219.
  6. [2002] R. Ghrist and R. Komendarczyk, “Topological features of inviscid flows,” in Introduction to the Geometry and Topology of Fluid Flows, NATO-ASI Series II, vol. 47, Kluwer Press, 183-202.
  7. [2001] J. Etnyre and R. Ghrist, “An index for closed orbits in Beltrami fields,” Physica D, 159(3-4), 180-189.
  8. [2001] R. Ghrist, “Steady nonintegrable high-dimensional fluids,” Lett. Math. Phys., 55(3), 193-204.
  9. [2000] J. Etnyre and R. Ghrist,) “Contact topology and hydrodynamics III: knotted orbits,” Trans. Amer. Math. Soc., 352, 5781-5794.
  10. [2000] J. Etnyre and R. Ghrist, “Contact topology and hydrodynamics I: Beltrami fields and the Seifert Conjecture,” Nonlinearity 13, 441-458.
  11. [1999] J. Etnyre and R. Ghrist, “Stratified integrals and unknots in inviscid flows,” Cont. Math., 246,99-112.