Mathematical Problems of Statistical Hydromechanics - A. V. Fursikov

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Sommaire:
Table Contents.- 1: Functional-Analytic Expansions of Solution of Evolution Equations.- 2: Elements of Measure Theory.- 3: Moment Theory for Small Reynolds Numbers.- 4: Space-Time Statistical Solutions of the Navier-Stokes Equations for Arbitrary Reynolds Numbers.- 5: The Hopf Equation.- 6: Moment Theory for Arbitrary Reynolds Numbers.- 7: Homogeneous Space-Time Statistical Solutions of Navier-Stokes Equations.- 8: Individual Solutions with Unbounded Energy for Navier-Stokes Equations and Other Problems.- 9: Analytic First Integrals and Asymptotic Behaviour as t ? ? of Fourier Coefficients of Solutions of Two-Dimensional Navier Stokes Equations.- 10: Navier-Stokes System With White Noise In A Bounded Domain.- 11: The Direct and Inverse Kolmogorov Equations Corresponding to a Stochastic Navier-Stokes System.- 12: Homogeneous In x Solutions of the Stochastic Navier-Stokes System With White Noise.- Appendix 1: Unique Solvability In Large of the Three-Dimensional Navier-Stokes System and Moment Equations for a Dense Set of Data.- Appendix 2: Periodic Approximations of Homogeneous Measures.- Comments.- References.