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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF
Book Information:

Author: 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 [Enhancements On Off] (What's this?)

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  • 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
  • Jean Leray, Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math. 63 (1934), no. 1, 193–248 (French). MR 1555394, 10.1007/BF02547354
  • James Serrin, On the interior regularity of weak solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal. 9 (1962), 187–195. MR 0136885
  • James Serrin, The initial value problem for the Navier-Stokes equations, Nonlinear Problems (Proc. Sympos., Madison, Wis., 1962) Univ. of Wisconsin Press, Madison, Wis., 1963, pp. 69–98. MR 0150444
  • P. E. Sobolevskiĭ, Non-stationary equations of viscous fluid dynamics, Dokl. Akad. Nauk SSSR 128 (1959), 45–48 (Russian). MR 0110895
  • V. A. Solonnikov, Estimates of the solutions of the nonstationary Navier-Stokes system, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 38 (1973), 153–231 (Russian). Boundary value problems of mathematical physics and related questions in the theory of functions, 7. MR 0415097
  • Roger Temam, Navier-Stokes equations. Theory and numerical analysis, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. Studies in Mathematics and its Applications, Vol. 2. MR 0609732

Review Information:

Reviewer: Yoshikazu Giga
Journal: Bull. Amer. Math. Soc. 19 (1988), 337-340
DOI: http://dx.doi.org/10.1090/S0273-0979-1988-15663-7