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Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes. (German) Zbl 0506.35084


MSC:

35Q30 Navier-Stokes equations
35D10 Regularity of generalized solutions of PDE (MSC2000)
35B45 A priori estimates in context of PDEs
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs

References:

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[9] Heywood, J.G., Rannacher, R.: Finite Element Approximation of the Nonstationary Navier-Stokes Problem. SIAM J. Numer. Anal.19, 275-311 (1982) · Zbl 0487.76035 · doi:10.1137/0719018
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[14] Miyakawa, T.: On nonstationary solutions of the Navier-Stokes equations in an exterior domain. Hiroshima Math. J.12, 115-140 (1982) · Zbl 0486.35067
[15] Ne?as, J.: Les méthodes directes en theorie des équations elliptiques. Prague: Éditeurs Academia 1967
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[17] Serrin, J.: The initial value problem for the Navier-Stokes equations. Nonlinear Problems, Proceedings of a Symposium (Madison 1962) pp. 69-98. Madison, Wisconsin: Univ. of Wisconsin Press 1963
[18] Serrin, J.: On the Interior Regularity of Weak Solutions of the Navier-Stokes Equations. Arch. Rational Mech. Anal.9, 187-195 (1962) · Zbl 0106.18302 · doi:10.1007/BF00253344
[19] Sobolevski, P.E.: Study of Navier-Stokes equations by the methods of the theory of parabolic equations in Banach spaces. Soviet Math. Dokl.5, 720-723 (1964)
[20] Solonnikov, V.A.: Estimates for solutions of nonstationary Navier-Stokes equations. J. Soviet Math.8, 467-529 (1977) · Zbl 0404.35081 · doi:10.1007/BF01084616
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[22] Specovius, M.: Über einen Struktursatz von Leray für Lösungen Navier-Stokesscher Anfangswertaufgaben. Diplomarbeit, Universität-Gesamthochschule Paderborn 1981
[23] Temam, R.: Navier-Stokes Equations. Amsterdam-New York-Oxford: North-Holland 1977 · Zbl 0383.35057
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[26] Wahl, W. von: Nichtlineare Evolutionsgleichungen. Teubner-Texte zur Math.50, pp. 294-302. Leipzig: Teubner 1983
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