@article{RSMUP_1973__49__9_0, author = {Foias, C.}, title = {Statistical study of {Navier-Stokes} equations, {II}}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {9--123}, publisher = {Seminario Matematico of the University of Padua}, volume = {49}, year = {1973}, zbl = {0283.76018}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_1973__49__9_0/} }
TY - JOUR AU - Foias, C. TI - Statistical study of Navier-Stokes equations, II JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1973 SP - 9 EP - 123 VL - 49 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_1973__49__9_0/ LA - en ID - RSMUP_1973__49__9_0 ER -
%0 Journal Article %A Foias, C. %T Statistical study of Navier-Stokes equations, II %J Rendiconti del Seminario Matematico della Università di Padova %D 1973 %P 9-123 %V 49 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_1973__49__9_0/ %G en %F RSMUP_1973__49__9_0
Foias, C. Statistical study of Navier-Stokes equations, II. Rendiconti del Seminario Matematico della Università di Padova, Tome 49 (1973), pp. 9-123. http://archive.numdam.org/item/RSMUP_1973__49__9_0/
[1] Lectures on Elliptic Boundary Value Problems, Van Nostrand, New York, 1965. | MR | Zbl
)Solutions turbulentes de certaines equations aux dérivées partielles, C. R. Acad. Sci. Paris, 249 (1959), 1456-1457. | MR | Zbl
) [1][2] l'existence des solutions turbulentes des equations de l'hydrodynamique, C. R. Acad. Sci. Paris, 252 (1961), 3392-3394. | MR | Zbl
The Theory of Homogeneous Turbulence, Cambridge University Press, Cambridge, 1967. | Zbl
[1]Intégration. Ch. 5: Intégration des mesures. Eléments de mathématiques, Hermann, Paris, 1967. | MR | Zbl
) [1]Su un problema al contorno relativo al sistema di equazioni di Stokes, Rend. Sem. Mat. Univ. Padova, 31 (1961), 308-340. | EuDML | Numdam | MR | Zbl
) [1]Lectures on Analysis. Vol. II: Representation Theory, W. A. Benjamin, Inc., New York, 1969. | MR | Zbl
[1]Vector Measures, Pergamon Press, London, 1967. | MR
) [1]Stochastic Processes, Wiley, New York, 1953. | MR | Zbl
[1]Sur le passage des équations de Navier-Stokes aux équations de Reynolds, C. R. Acad. Sci. Paris, 244 (1957), 2887-2890. | MR | Zbl
) [1]Linear Operators. Part I: General Theory, Interscience Publ., New York, 1958. | MR | Zbl
) - [1][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 | Zbl
)[2] Solutions statistiques des équations d'évolution non linéaires, C.I.M.E., Varenna, 1970. | Zbl
Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2, Rend. Sem. Mat. Univ. Padova, 39 (1967), 1-34. | Numdam | MR | Zbl
) - [1]Le comportement asymptotique des valeurs propres d'un opérateur, Séminaire sur les Equations aux dérivées partielles, Collège de France, 1971, 4°, pp. 4.1-4.12. | Numdam
) [1]Functional Analysis and Semi-Groups, Amer. Math. Soc. Coll. Publ., New York, 1957. | MR | Zbl
- [1]Turbulence. An Introduction and its Mechanism and Theory, McGraw-Hill, Inc., New York, 1959. | MR
[1]A mathematical example displaying features of turbulence, Comm. Pure Appl. Math., 1 (1948), 303-322. | MR | Zbl
) [1][2] Über die Anfangswertaufgabe für hydrodynamischen Grundgleichungen, Math. Nachrichten, 4 (1951), 2-13-231. | Zbl
[3] Statistical hydrodynamics and functional calculus, J. Rat. Mech. Anal., 1 (1952), 87-123. | MR
Linear Partial Differential Operators, Springer-Verlag, Berlin, 1963. | MR | Zbl
) [1]Incompressible Fluid Mechanics, Wiley, New York, 1964. | MR
[1]On the lifting property II, Journ. Math. Mech., 11 (1962), 773-795. | MR | Zbl
and (C. T.) [1]Ergodic Theory, Aarhus Univ. Mat. Inst. Lect., Aarhus, 1963. | MR
[1]Statistical mechanics of continuous media, Proc. Symp. Appl. Math., XIII (1962). | MR | Zbl
[1]ε-entropy and ε-capacity of sets in functional spaces, Uspehi Mat. Nauk, 14 (1959), 3-86. | Zbl
- [1]La théorie générale de la mesure dans son application à l'étude des systèmes dynamiques de la mécanique non linéaire, Ann. of Math., 38 (1937), 65-113. | JFM | MR | Zbl
) - [1]Topologie, vol. I, Panstw. Wyd. Nauk, Warszawa, 1958. | MR | Zbl
) [ 1]Global solution of the boundary problem for Navier-Stokes equations in two spatial dimensions, Doklady Acad. Nauk SSSR, 123 (1958), 427-429. | Zbl
[1][2] The study of Navier-Stokes equations for stationary incompressible flows, Usp. Mat. Nauk, 14 (1959), 75-97. | Zbl
[3] Mathematical Theory of Viscous Incompressible Flows, Gordon & Breach Sci. Publ., New York, 1963. | MR
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., 9- série, 12 (1933), 1-82. | Numdam | Zbl
[1][2] Essai sur le mouvement plan d'un liquide visqueux que limitent des parois, Journ. Math. Pures et Appl., 9- série, 13 (1934), 331-418. | JFM | Numdam
[3] Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math., 63 (1934), 193-248. | JFM | MR
Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthier-Villars, Paris, 1969. | MR | Zbl
[1]Problèmes aux limites non homogènes et applications, vol. I, Dunod, Paris, 1968. | Zbl
- [1]Sur une classe d'espaces d'interpolation, Institut des Hautes Etudes Sc. Publ. Math., 19 (1964), 5-68. | Numdam | MR | Zbl
- [1]Un théoréme d'existence et unicité dans les équations de Navier-Stokes en dimension 2, C. R. Acad. Sci. Paris, 250 (1959), 3519-3521. | MR | Zbl
- [1]Probability Theory, Van Nostrand Corp. Inc., Princeton, 1960. | MR | Zbl
) [1]An Introduction to Abstract Harmonic Analysis, Van Nostrand Comp., Inc., New York, 1953. | MR | Zbl
[1]Similarity arguments for fully developed turbulence, Suppl. at Nuovo Cimento, 22 (1961), serie X, 376-384.
[1]On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation, Proc. Japan. Acad., 43 (1967), 827-832. | MR | Zbl
) [1]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.
[1] Regular probability measures on function space, Annals of Math., 69 (1959), 630-643. | MR | Zbl
)A kinematic theory of M.H.D. turbulent shear flow (A new approach to the Malkus theory of turbulence), Revue Roum. Math. pures et appl., 12 (1967), 1503-1514. | Zbl
[1]Statistical description of continuous fields, Proc. Geod. Inst. Akad. Nauk SSSR, 1954, no. 24 (151), 3-42. | MR
[1]Un teorema di unicità per le equazioni di Navier-Stokes, Annali di Mat. pura e appl., (IV), 48 (1959), 173-182. | MR | Zbl
[1][2] Qualche risultato riguardo alle equazioni di Navier-Stokes nel caso bidimensionale, Rend. Sem. Mat. Univ. Padova, 30 (1960), 16-23. | Numdam | MR | Zbl
[3] Teoremi ergodici per le equazioni della idrodinamica, C.I.M.E., Roma, 1960. | Zbl
[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 no. 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
[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 | Zbl
On the dynamical theory of incompressible viscous fluids and the determination of the criterion, Phil. Trans. Rodal Soc. London, 186 (1894), 123-161. | JFM
[1]Functional integration theory for incompressible fluid turbulence, The Phys. of Fluids, 10 (1967), 2614-2619. | Zbl
) [1]Leçons d'analyse fonctionnelle, Gauthier-Villars, Akad. Kiado, Budapest, 1965. | MR | Zbl
- [1][1] Fourier Analysis on Groups, Interscience Publ., New York, 1962. | MR | Zbl
)Equazioni differenziali nel campo reale, parte I, Seconda edizione, Bologna, 1948. | JFM
[1]Boundary Layer Theory, 4th ed., McGraw-Hill, New York, 1960. | MR | Zbl
) [1]Mathematical Principle of Classical Fluid Mechanics, Handbuch der Physik, Band VIII/1, Strömungs Mechanik I, Berlin, 1959. | MR
) [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 | Zbl
) [1]