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Bulletin of the American Mathematical Society

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Groups of diffeomorphisms of $R^n$ and the flow of a perfect fluid


Author: Murray Cantor
Journal: Bull. Amer. Math. Soc. 81 (1975), 205-208
MSC (1970): Primary 58D05; Secondary 33O99, 46E15, 46E35
DOI: https://doi.org/10.1090/S0002-9904-1975-13713-X
MathSciNet review: 0356127
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References [Enhancements On Off] (What's this?)

  • 1. M. Cantor, Perfect fluid flows over R, J. Functional Analysis (to appear).
  • 2. M. Cantor, Spaces of functions with asymptotic conditions on R, Indian J. Math, (to appear).
  • 3. D. G. Ebin and J. Marsden, Groups of diffeomorphisms and the motion of an incompressible fluid, Ann. of Math. (2) 92 (1970), 102-163. MR 42 #6865. MR 271984
  • 4. T. Kato, Nonstationary flows of viscous and ideal fluids in R, J. Functional Analysis 9 (1972), 296-305. MR 481652
  • 5. T. Kato, On the initial value problem for quasi-linear symmetric hyperbolic systems (preprint).
  • 6. H. S. G. Swann, The convergence with vanishing vicosity of non-stationary Navier-Stokes flow to ideal flow in R, Trans. Amer. Math. Soc. 157 (1971), 373-397. MR 43 #3662. MR 277929

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DOI: https://doi.org/10.1090/S0002-9904-1975-13713-X

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