Foiaş, Ciprian; Guillopé, Colette; Témam, Roger New a priori estimates for Navier-Stokes equations in dimension 3. (English) Zbl 0472.35070 Commun. Partial Differ. Equations 6, 329-359 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 40 Documents MSC: 35Q30 Navier-Stokes equations 35B65 Smoothness and regularity of solutions to PDEs 35B45 A priori estimates in context of PDEs Keywords:regularity of weak solutions; periodic Navier Stokes equation × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Adams, R.A. 1675. ”Sobolev spaces”. New York: Academic Press. [2] Foias C., Rend. Sem. Mat. Univ. Padova 39 pp 1– (1967) [3] Foias C., Comm. Pure Appl. Math. 30 pp 149– (1977) · Zbl 0335.35077 · doi:10.1002/cpa.3160300202 [4] Foias C., Annal. Sc. Norm. Sup, Pisa 5 pp 29– (1978) [5] Foias C., J. Math. Pures et Appl. 58 pp 339– (1979) [6] Hilles, E. and Phillips, R.S. 1957. ”Functional analysis and semi-groups”. A.M.S. Colloquim Publications. Providence [7] Hopf E., Math. Nachr. 4 pp 213– (1951) · Zbl 0042.10604 · doi:10.1002/mana.3210040121 [8] Ladyzenskaya, O.A. 1963. ”The mathematical theory of viscous incompressible flows”. New York: Gordon and Beach. [9] Leray J., J. Math. Pures et Appl. 13 pp 331– (1934) [10] Leray J., Acta Math. 63 pp 193– (1934) · JFM 60.0726.05 · doi:10.1007/BF02547354 [11] Lions, J.L. and Magenes, E. 1968. ”Problémes aux limites non homogénes et applications”. Vol. I, Paris Vol. II, 1968; Vol. 3, 1969 [12] Lions, J.L. 1969. ”Quelques méthodes de résolution des problémes aux limites non linéaires”. Paris [13] Tartar, L. 1978. ”Topics in nonlinear analysis”. Orsay: Publications Mathématiques d’Orsay, Université Paris-Sud. [14] Temam, R. 1979. ”Navier-Stokes equations. Theory and Numerical Analysis”. North-Holland, New York: Amsterdam. · Zbl 0426.35003 [15] Kaniel S., Arch. Rat. Mech. Anal. 24 pp 302– (1967) [16] Heywood, J.G.Classical Solutions of the Navier-Stokes equations, Approximations Methods for Navier-Stokes problems. Proceedings, Paderbom. 1979, Germany. Springer Verlag. Lecture Notes in Mathematics #771, Berlin 235–248 [17] Scheffer, V.Turbulence and Hausdorff Dimension, Turbulence and Navier-Stokes equations. Proceedings. 1975, Orsay, Frane. Springer Verlag. Lecture Notes in Mathematics #565, Berlin 94–112 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.