Groups of diffeomorphisms of $R^n$ and the flow of a perfect fluid
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- by Murray Cantor PDF
- Bull. Amer. Math. Soc. 81 (1975), 205-208
References
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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).
- David G. Ebin and Jerrold Marsden, Groups of diffeomorphisms and the motion of an incompressible fluid, Ann. of Math. (2) 92 (1970), 102–163. MR 271984, DOI 10.2307/1970699
- Tosio Kato, Nonstationary flows of viscous and ideal fluids in $\textbf {R}^{3}$, J. Functional Analysis 9 (1972), 296–305. MR 0481652, DOI 10.1016/0022-1236(72)90003-1 5. T. Kato, On the initial value problem for quasi-linear symmetric hyperbolic systems (preprint).
- H. S. G. Swann, The convergence with vanishing viscosity of nonstationary Navier-Stokes flow to ideal flow in $R_{3}$, Trans. Amer. Math. Soc. 157 (1971), 373–397. MR 277929, DOI 10.1090/S0002-9947-1971-0277929-7
Additional Information
- 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