Vishik, M. I.; Fursikov, A. V. Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations. (English) Zbl 0412.35078 Sib. Math. J. 19, 710-729 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 17 Documents MSC: 35Q30 Navier-Stokes equations 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 76D05 Navier-Stokes equations for incompressible viscous fluids 76F05 Isotropic turbulence; homogeneous turbulence 35A35 Theoretical approximation in context of PDEs Keywords:statistical solutions; individual solutions; infinite energy; Navier- Stokes equations; homogeneous turbulent flows PDF BibTeX XML Cite \textit{M. I. Vishik} and \textit{A. V. Fursikov}, Sib. Math. J. 19, 710--729 (1979; Zbl 0412.35078) Full Text: DOI References: [1] S. L. Sobolev, Applications of Functional Analysis in Mathematical Physics, Amer. Math. Soc. (1969). · Zbl 0233.42013 [2] M. I. Vishik and A. V. Fursikov, ?Homogeneous statistical solutions of the Navier-Stokes system,? Usp. Mat. Nauk,32, No. 5, 179-180 (1977). · Zbl 0363.35033 [3] M. I. Vishik and A. V. Fursikov, ?Homogeneous statistical solutions of parabolic systems of differential equations and of the Navier-Stokes system,? Ann. Scuola Norm. Sup. Pisa, Ser. IV,4, No. 3, 531-576 (1977). [4] O. A. Ladyzhenskaya, Mathematical Theory of Viscous Incompressible Flow, Gordan and Breach (1969). · Zbl 0184.52603 [5] K. Yosida, Functional Analysis, Springer-Verlag, New York (1971). · Zbl 0217.16001 [6] I. I. Gikhman and A. V. Skorokhod, The Theory of Stochastic Processes, Springer-Verlag (1975). · Zbl 0348.60042 [7] G. E. Shilov, Mathematical Analysis, A Special Course, Pergamon (1965). · Zbl 0137.26203 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.