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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. \textbf{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. \textbf{30} (1979), 96--106.
- [3]
- A. J. Chorin, The evolution of a turbulent vortex, Comm. Math. Phys. \textbf{83} (1982).
- [4]
- M. Majda, Vorticity and the mathematical theory of incompressible fluid flow, Comm. Pure Appl. Math. \textbf{39} (1986), 187--220.
- [5]
- J.-Y. Chemin, Persistence de structures geometriques dans les fluides incompressibles bidimensionnels, Ann. Sci. \'Ecole Norm. Sup. (4).
- [6]
- A. Bertozzi and P. Constantin, Global regularity for vortex patches, Comm. Math. Phys. \textbf{152} (1993), 19--28.
- [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.
- [8]
- P. Constantin and Ch. Fefferman, Direction of vorticity and the problem of global regularity for the Navier-Stokes equation, Indiana Univ. Math. J. \textbf{42} (1993), 775.
- [9]
- T. Kato, Nonstationary flows of viscous and ideal fluids in $R3$, J. Funct. Anal. \textbf{9} (1972).
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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