@article{RSMUP_1972__48__219_0, author = {Foia\c s, C.}, title = {Statistical study of Navier-Stokes equations, I}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {48}, year = {1972}, pages = {219-348}, mrnumber = {352733}, zbl = {0283.76017}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1972__48__219_0} }
Foiaş, C. Statistical study of Navier-Stokes equations, I. Rendiconti del Seminario Matematico della Università di Padova, Tome 48 (1972) pp. 219-348. http://gdmltest.u-ga.fr/item/RSMUP_1972__48__219_0/
Lectures on Elliptic Boundary Value Problems (Van Nostrand), New York, 1965. | MR 178246 | Zbl 0142.37401
) [1]Solutions turbulentes de certaines equations aux dérivées partielles, C. R. Acad. Sci. Paris, 249 (1959), 1456-1457. | MR 107450 | Zbl 0086.40702
) [1][2] Sur l'existence des solutions turbulentes des équations de l'hydrodynamique, C. R. Acad. Sci. Paris, 252 (1961), 3392-3394. | MR 135371 | Zbl 0126.42803
The Theory of homogeneous Turbulence, (Cambridge Univ. Press), Cambridge, 1967. | Zbl 0522.76051
[1]Integration. Ch. 5. Intégration des mesures. Eléments de mathématiques. (Hermann), Paris, 1967. | MR 209424 | Zbl 0143.27101
) [1]Su un problema al contorno relativo al sistema di equazioni di Stokes. Rend. Sem. Mat. Univ. Padova, 31 (1961), 308-340. | Numdam | MR 138894 | Zbl 0116.18002
) [1]Lectures on Analysis. Vol. II. Representation Theory. (W. A. Benjamin, Inc.). New York, 1969. | MR 250012 | Zbl 0181.39602
[1]Vector Measures (Pergamon Press), London, 1967. | MR 206190
) [1]Stochastic Processes. (Wiley), New York, 1953. | MR 58896 | Zbl 0053.26802
[1]Sur le passage des équations de Navier-Stokes aux équations de Reynolds, C. R. Acad. Sci. Paris, 244 (1957), 2887-2890. | MR 94053 | Zbl 0078.08402
) [1]Linear Operators - Part. I. General Theory (Inters. Publ.), New York, 1958. | MR 1009162 | Zbl 0084.10402
- [1]Ergodic problems in functional spaces related to Navier-Stokes equations. Proceedings Intern. Conf. Funct. Anal. and Rel. Topics. (Tokyo, April 1969), 290-304. | MR 291885 | Zbl 0206.44701
[1][2] Solutions statistiques des equations d'évolution non linéaire. C.I.M.E. Varenna, 1970. | Zbl 0241.35063
Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2. Ren. Sem. Mat. Univ. Padova, 39 (1967), 1-34. | Numdam | MR 223716 | Zbl 0176.54103
- [1]Le comportement asymptotique des valeurs propres d'un opérateur. Séminaire sur les Equations aux dérivées partielles. (Collège de France, 1971), IV, pp. 4.1-4.12. | Numdam
) [1]Functional Analysis and Semi-groups (Amer. Math. Soc. Coll. Publ.), New York, 1957. | MR 89373 | Zbl 0078.10004
- ) [1]Turbulence. An introduction and its Mechanism and Theory (McGraw-Hill, Inc.), New York, 1959. | MR 105962
[1]A mathematical example displaying features of turbulence. Comm. Pure Appl. Math., 1 (1948), 303-322. | MR 30113 | Zbl 0031.32901
) [1][2] Uber die Anfangswertaufgabe für hydrodynamischen Grundgleichungen. Math. Nachrichten, 4 (1951), 2-13-251. | Zbl 0042.10604
[3] Statistical hydrodynamics and functional calculus. J. Rat. Mech. Anal., 1 (1952), 87-123. | MR 59119
Linear Partial differential Operators (Springer Verl.), Berlin, 1963. | MR 404822
) [1]Incompressible Fluid mechanics (Wiley), New York, 1964. | MR 207282
[1]On the lifting property II. journ. Math. Mech., 11 (1962), 777-795. | Zbl 0122.11701
and (C. T.) [1]Ergodic Theory (Aarhus Univ. Mat. Inst. Lect.), Aarhus, 1963. | MR 159922
[1]Statistical mechanics of continuous media. Proc. Symp. Appl. Math., XIII (1962). | MR 141260 | Zbl 0108.42802
[1]TIHOMIROV (V. M.) [1] ε-entropy and ε-capacity of sets in functional spaces, Uspehi Mat. Nauk, 14 (1959), 3-86. | Zbl 0133.06703
-BOGOLIUBOV (N. N.) [1] La théorie générale de la mesure dans son application a l'étude des systèmes dynamiques de la mécanique non linéaire. Ann. of Math., 38 (1937), 65-113. | JFM 63.1002.01 | MR 1503326 | Zbl 0016.08604
-Topologie, vol. I (Panstw. Wyd. Nauk), Warszawa, 1958. | MR 90795 | Zbl 0102.37602
) [1]Global solution of the boundary problem for Navier-Stokes equations in two spatial dimensions. Doklady Acad. Nauk SSSR, 123 (1958), 427-429. | Zbl 0090.41502
[1][2] The study of Navier-Stokes equations for stationary incompessible flows. Usp. Mat. Nauk., 14 (1959), 75-97.
[3] Mathematical Theory of viscous incompressible flows. (Gordon & Breach Sci. Publ.), New York, 1963. | MR 155093
Mécanique des fluides, Physique Théorique, t. VI. (Ed. Mir), Moscow, 1971.
- [1]Etude de divers équations intégrales non-linéaire et de quelques problèmes que posent l'hydrodynamique. J. Math. Pures et Appl., 9e série, 12 (1933), 1-82. | Zbl 0006.16702
[1][2] Essai sur le mouvement plan d'un liquide visqueux que limitent des parois. Journ. Math. Pures et Appl., 9e série, 13 (1934), 331-418. | JFM 60.0727.01
[3] Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math., 63 (1934), 193-248. | JFM 60.0726.05 | MR 1555394
Quelques méthodes de résolution des problèmes aux limites non linéaires (Dunod-Gauth. Vill.), Paris, 1969. | MR 259693 | Zbl 0189.40603
[1]Problèmes aux limites non homogènes et applications, vol. I (Dunod), Paris, 1968. | Zbl 0165.10801
- [1]PEETRE (J.) [1] Sur une classe d'espaces d'interpolation. Institut des Hautes Etudes Sc. Publ. Math., 19 (1964), 5-68. | Numdam | MR 165343 | Zbl 0148.11403
-PRODI (G.) [1] Un théorème d'existence et unicité dans les équations de Navier-Stokes en dimension 2, C. R. Acad. Sci. Paris, 250 (1959), 3519-3521. | MR 108964 | Zbl 0091.42105
-Probability Theory. (Van Nostrand Corp. Inc.), Princeton, 1960. | MR 123342 | Zbl 0095.12201
[1]An Introduction to Abstract Harmonic Analysis. (Van Nostrand Comp., Inc.), New York, 1953. | MR 54173 | Zbl 0052.11701
[1]Similarity arguments for fully developed turbulence. Suppl. at Nuovo Cimento, 22 (1961), serie X, 376-384.
[1][1] On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation. Proc. Japan. Acad., 43 (1967), 827-832. | MR 247304 | Zbl 0204.26901
)Statistical hydrodynamics. The Mechanics of turbulence. Part I (Izd. Nauka), Moscow, 1965.
- [1][2] Statistical hydrodynamics. The Mechanics of turbulence. Part II (Izd. Nauka), Moscow, 1967.
Regular Probability measures on function space. Annals of Math., 69 (1959), 630-643. | MR 105743 | Zbl 0087.13102
) [1]A kinematic theory of M.H.D. turbulent shear flow (A new approach to the Malkus theory of turbulence). Revue Roum. Math. p. et appl., 12 (1967), 1503-1514. | Zbl 0148.45901
[1]Statistical description of continuous fields. Proc. Geod. Inst. Akad. Nauk SSSR, 1954, no. 24 (151), 3-42. | MR 67404
[1]Un teorema di unicità per le equazioni di Navier-Stokes. Annali di Mat. pura e appl. (IV), 48 (1959), 173-182. | MR 126088 | Zbl 0148.08202
[1][2] Qualche risultato riguardo alle equazioni di Navier-Stokes nel caso bidimensionale. Rend. Sem. Mat. Univ. Padova, 30 (1960), 16-23. | Numdam | MR 115017 | Zbl 0098.17204
[3] Teoremi ergodici per le equazioni della idrodinamica, C.I.M.E., Roma, 1960. | Zbl 0117.10504
[4] On probability measures related to the Navier-Stokes equations in the 3-dimensional case (Air Force Res. Div. Contr. A.P.61(052)-414. Technical Note nr. 2 (1961)), Trieste, 1961.
[5] Résultats récents dans la théorie des équations de Navier Stokes. Les équations aux dérivées partielles (Colloques Intern. CNRS), Paris, 1962 '. | Zbl 0255.35076
[6] Teoremi di tipo locale per il sistema di Navier-Stokes e stabilità delle soluzioni stazionarie. Rend. Sem. Mat. Univ. Padova, 32 (1962), 374-397. | Numdam | MR 189354 | Zbl 0108.28602
On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. Royal Soc. London, 186 (1894), 123-161. | JFM 26.0872.02
[1]Functional Integration theory for incompressible fluid turbulence, The Phys. of Fluids, 10 (1967), 2614-2619. | Zbl 0204.28505
[1]Leçons d'analyse fonctionnelle (Gauthier-Vill.-Akad.-Kiado). | Zbl 0064.35404
- [1]Fourier Analysis on Groups. (Inters. Publ.), New York, 1962. | MR 152834 | Zbl 0107.09603
[1]Equazioni differenziali nel campo reale. Parte I. (Sc. Edizione), Bologna, 1948. | JFM 67.0306.01
[1][1] Boundary Layer Theory (4th edn. McGraw-Hill), New York, 1960. | MR 76530 | Zbl 0096.20105
)Mathematical Principle of Classical Fluid Mechanics (Handbuch der Physik, Band VIII/1, Stromungs Mechanik I), Berlin, 1959. | MR 108116
[1]Etude des fonctions quasi-stationnaires et de leurs applications aux équations différentielles opérationnelles. Bull. Soc. Math. France, suppl. au no. de Juin 1966, mémoire 6. | Numdam | MR 198302 | Zbl 0165.49504
) [1]