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Book Review
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Book Information
Author(s):
Wolf von Wahl
Title:
The equations of Navier-Stokes and abstract parabolic equations
Additional book information:
Friedr. Vieweg & Sohn, Braunschweig and Wiesbaden, xxiv + 264 pp. (paperback). ISBN 3-528-08915-6
References:
- H. Fujita and T. Kato (1964), On the Navier-Stokes initial value problem. I, Arch. Rational Mech. Anal. 16, 269-315. MR 166499
- Y. Giga (1981), Analyticity of the semigroup generated by the Stokes operator in L, Math. Z. 178, 297-329. MR 635201
- Y. Giga (1985), Domains of fractional powers of the Stokes operator in L, Arch. Rational Mech. Anal. 89, 251-265. MR 786549
- E. Hopf (1951), Über die Anfangwertaufgabe für die hydrodynamischen Grundgleichungen, Math. Nach. 4, 213-231. MR 50423
- T. Kato and H. Fujita (1962), On the nonstationary Navier-Stokes system, Rend. Sem. Math. Univ. Padova 32, 243-260. MR 142928
- J. Leray (1934), Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math. 63, 193-248. MR 1555394
- J. Serrin (1962), On the interior regularity of weak solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal. 9, 187-195. MR 136885
- J. Serrin (1963), The initial value problem for the Navier-Stokes equations, Nonlinear Problems (R. E. Langer, ed.), pp. 69-98, Univ. of Wisconsin Press, Madison. MR 150444
- P. E. Sobolevskiĭ (1959), On non-stationary equations of hydrodynamics for viscous fluid, Dokl. Akad. Nauk SSSR 128, 45-48 (Russian). MR 110895
- V. A. Solonnikov (1973), Estimates for solutions of nonstationary Navier-Stokes equations, J. Soviet Math. 8 (1977), 467-529; original in Zapiski Nauchn. Sem. LOMI im. V. A. Steklova AN SSSR 38, 153-231. MR 415097
- R. Temam (1977), Navier-Stokes equations, North-Holland, Amsterdam. MR 609732
Additional Information:
Reviewer(s):
Yoshikazu
Giga
Review Information:
Journal:
Bull. Amer. Math. Soc.
19
(1988),
337-340.
DOI:
10.1090/S0273-0979-1988-15663-7
PII:
S 0273-0979(1988)15663-7
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