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Book Review
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Book Information
Author(s):
Carlo Marchioro and Mario Pulvirenti
Title:
Mathematical theory of incompressible viscous fluids
Additional book information:
Applied Mathematical Sciences, vol. 96, Springer-Verlag, Berlin and New York, 1994, xi+283 pp. US$49.00. ISBN 0-387-94044-8
References:
-
- [1]
- V. I. Yudovitch, Non-stationary flow of an ideal incompressible liquid, Zh. Vychisl. Mat. i Mat. Fiz. 3 (1966), 1032.
- [2]
- N. Zabusky, M. H. Hughes, and K. V. Roberts, Contour dynamics for the Euler equations in two dimensions, J. Comput. Phys. 30 (1979), 96-106. MR 524163 (80g:76016)
- [3]
- A. J. Chorin, The evolution of a turbulent vortex, Comm. Math. Phys. 83 (1982), 517. MR 649815 (83g:76042)
- [4]
- M. Majda, Vorticity and the mathematical theory of incompressible fluid flow, Comm. Pure Appl. Math. 39 (1986), 187-220. MR 861488 (87j:76041)
- [5]
- J.-Y. Chemin, Persistence de structures geometriques dans les fluides incompressibles bidimensionnels, Ann. Sci. École Norm. Sup. (4) (to appear). MR 1235440 (94j:35141)
- [6]
- A. Bertozzi and P. Constantin, Global regularity for vortex patches, Comm. Math. Phys. 152 (1993), 19-28. MR 1207667 (94b:35221)
- [7]
- P. Constantin, Geometric and analytic studies in turbulences, Trends and Perspectives in Appl. Math. (L. Sirovich, ed.) Appl. Math. Sci., vol. 100, Springer, New York, 1994. MR 1277191 (95f:76017)
- [8]
- P. Constantin and Ch. Fefferman, Direction of vorticity and the problem of global regularity for the Navier-Stokes equation, Indiana Univ. Math. J. 42 (1993), 775. MR 1254117 (95j:35169)
- [9]
- T. Kato, Nonstationary flows of viscous and ideal fluids in R3, J. Funct. Anal. 9 (1972), 296. MR 0481652 (58:1753)
Additional Information:
Reviewer(s):
Peter
Constantin
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
288-290.
DOI:
10.1090/S0273-0979-1995-00582-3
PII:
S 0273-0979(1995)00582-3
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