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| Vishik M.J., Fursikov A.V. — Mathematical problems of statistical hydromechanics |
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| Предметный указатель |
 -algebra of sets 53
-algebra of sets, Borel 57
Almost everywhere 54
Base of cylindric set 67
Characteristics 306
Closure problem 74 105
Correlation tensor 211
Distribution of Wiener process 334
Energy density 215
Equation model 21
Equation moment 71 89 176
Equation, first integrals 298
Equation, Foias 152
Equation, Hopf 149
Equation, Hopf, manytime 165
Equation, monotous parabolic 45
Equation, Navier — Stokes see "System Navier
Finite-dimensional distribution of a measure 64
First integral 296
Frechet derivative 10
Function, current 293
Function, indicator 55
Function, measurable 54
Function, moment 69 82
Function, simple 54
Functional, analytic 296
Functional, characteristic 147
Galyerkin approximation of an equation 126 214
Galyerkin approximation of initial measure 128
Galyerkin approximation of statistical solution 128 217
Inequality, Cauchy — Bunyakowsky — Schwarz 17
Inequality, Hoelder 16
Measure of a set 53
Measure, Gaussian 65
Measure, Gaussian, homogeneous 208
Measure, homogeneous 203
Measure, homogeneous in x 212
Measure, initial 86 121
Measure, probability 53
Measure, product of 56
Measure, projection of 64
Measure, supported on a ball 66
Measure, total 55
Measure, Wiener 336
Method statistical introducing parameters 260
Moment of a statistical solution 88 172
Moment of measure 69 82
| Moment, many-time 172
Moment, one-time 172
Operator of restriction 18 20
Operator, analytic 13
Operator, averaging 135
Operator, contraction 189
Operator, Frechet differentiable 10
Operator, k-linear 9
Operator, k-linear, symmetric 10
Operator, Laplace 21
Operator, linear differential 43
Operator, power 10
Operator, shift 202
Operator, shift, along trajectories 29
Operator, strongly elliptic 44
Operator, symmetrization 10
Pre-image 60
Reynolds number 36
Series, Fourier 24 214 294
Series, functional analytic 22
Series, regularly converging 12
Set of total measure 55
Set of vectors subordinate 317
Set, cylindric 64
Set, measurable 53
Solution of Navier — Stokes equation, generalized 239
Solution of Navier — Stokes equation, individual 237
Solution of Navier — Stokes equation, weak 213
Space with measure 53
Space, conjugate 18
Space, Sobolyev 17
Statistical solution 86 121 341 343
Statistical solution, many-time 169
Statistical solution, space-time 121
Statistical solution, space-time, homogeneous in x 255
Statistical solution, spatial 149
Statistical solution, spatial, homogeneous in x 278
System, Navier — Stokes 31
Tensor product of Hilbert spaces 76
Tensor product of Sobolyev spaces 110
Tensor product of vectors 76
Theorem, Beppo Levi 56
Theorem, embedding 17 21
Theorem, Fatou 56
Theorem, Fubini — Tonelli 56
Theorem, Lebesgue 55
Theorem, Prokhorov 62
Weak convergence of measures 61
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