Gallavotti G. — Foundations of fluid mechanics :: Электронная библиотека попечительского совета мехмата МГУ

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Gallavotti G. — Foundations of fluid mechanics

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Название: Foundations of fluid mechanics

Автор: Gallavotti G.

Язык:

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 494

Добавлена в каталог: 14.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Absolute continuity      308 324 346 348 383
Action principle      72 75
Adapted basis      237
Algorithm      84
Algorithm.doc      365
Analytic function      21
Angular momentum conservation      3
Anholonomic constraint      439
Annihilation      247
Approximability theorem      172
Approximate hyperbolicity      357
Approximation algorithm      84
Approximation of Stokes      23
Archimedean force      44
Aristotelic vision      239
Arnold      74 306
ASCII      365
Astrology      365
Astronomy      240 487
Atomic model      2
Attracting set      238 250 279 313 315 325 346 353 391 422 424 437 440 441 470
Attraction basin      263
Attractor      353 354 437 440 441
Autoregularization      158 165 169
Average of Cesaro      387
Axiom A      325 345 351 382 440 441 445 446
Axiom B      445 446
Axiom C      445 469 470
Baricentric decomposition      321
Barometric formula      474
Base       310
Base       359
Basic set      326
Basin of attraction      315 353
Batchelor      400
Bidimensional fluid      67
Bifurcation      251
Bifurcation of Hopf      253 254 269
Bifurcation theory      241
Bifurcation type      274
Bilateral history      359
Billiard      290 322 340
Binormal      132
Black body      414 475
Boltzmann      324 431 434 450 475
Borelian measure      317
Borelian set      317
Boundary condition      74
Boundary condition of Dirichlet      102
Bowen      325 351
Bracket of Poisson      124
Brownian motion      134 142 399 411 413 423
Caffarelli      211
Campanino      389
canonical ensemble      474
Canonical map      126
Cascade of energy      423
Cat of Arnold      306 311 321 375
Caution      110
Center manifold theorem      254
Center of vorticity      123
Central limit theorem      405
Chaos      261 320
Chaos scenario      240 261
Chaotic hypothesis      449 456
Chaotic motion      264
Chaotic system      382
Chemical reactions      2
Clebsch      71
Closed flux line      64 130
Collision      279
Collision of orbits      259
Color of noise      393
Colored noise      396
compass      299
Compatibility matrix      377 378
Complete observation      359
complexity      358 360 363 366 373
Complexity of sequences      363
Cone in hyperbolic system      356
Conjecture ED      468
Conjecture NS      468
Conservation of difficulties      360
Constant of Feigenbaum      265 277
Constantin      189
Constitutive equation      2 24 226
Constraint anholonomic      432
Constructive algorithm      172 184
Constructive method      158
Continua      1
Continued fraction      293
Continuity equation      3
Continuity of H $\ddot{o}$ lder      141 386 388
Continuous metric dynamical system      318
Continuous spectrum      291 304 363 381
Continuous spectrum property      287 319
Convection      33 42 227 415
Convection model      43
Convergent of continued fraction      293
Copernican critique      239
Copernicus      239
Correlation function      284 303 320
Covariance      141 392 399
Covariance matrix      392
Covering theorem of Vitali      198 201
Creation of entropy      453
Cumulant      462
Current line      8 37
Cut-off method      98 101
Cylinder      361
Cylinder set      361 368
Cylindrical function      387
Deep fluid      77
Degree of freedom      238 241
Delta of Dirac      181 286
Determinant of Vandermonde      61
Developed turbulence      400
Devil      260 281
Devil staircase      260 270 281
Dice      372 382
Diffeomorphism      248 315 345
Differentiable dynamical system      315
Digit of a string      360
Dimension bound of Ruelle — Lieb      414
Dimension fractal      354
Dimension of Hausdorff      196 197 198 202 211 354 357 373 414 419 437
Dimension of information      437
Dimension of Kaplan — Yorke      354 414 419
Dimension of Lyapunov      354 358 388
Dimensional argument      18 21
Dimensionless energy flux      209
Dimensionless intensity      209
Dimensionless non locality      209
Dimensionless operator      208
Dimensionless pressure power      209
Diophantine property      285 304
Discrete metric dynamical system      318
Discretization      104 394
Displacement      1 72
Dissipative Euler equation      413
Dissipative system      453
distribution      58
Distribution of Gibbs      350
Distribution of Liouville      449
Distribution of Maxwell      9
Distribution of probability      318
Distribution SRB      324 325 449 451 455
Doughnut      357
Dressier      470
Dyadic interval      312

Dynamic inequality      212
Dynamic viscosity      17
Dynamical base      330 344
Dynamical system      283 315 324 371
Dynamical table      271
Earth, planet      41
Effective number of degrees of freedom      238
Eigenvalue      96
Eigenvector      96
Einstein      413
Elicity      107 421
Elicity basis      107
Ellipsoid      112
Elliptic equation      109
Enemy      50
Energy cascade      405 422
Energy conservation      5
Energy inequality      205
Enstrophy      68 108 409
entropy      5 6 358 360 363 364 365 367 453
Entropy average      367
Entropy balance      6
Entropy density      1
Entropy of Kolmogorov — Sinai      365
Entropy production      13
Entropy production rate      7 453
Equation ED      465
Equation GED      465
Equation GNS      434 464
Equation of Euler      15 17
Equation of Hamilton      74
Equation of Navier — Stokes      15 17 226 281 400 432 459 464
Equation of Navier — Stokes — Fourier      18
Equation of Newton      225
Equation of Rayleigh      42 43 232 415 430
Equation of Saltzman      228
Equation of state      1 5
Equation of Stokes      22 109 169 398 399
Ergodic decomposition      321
Ergodic distribution      331 367
Ergodic hypothesis      438 449 450
Ergodic sequence      362
Ergodic statistics      320 321
Ergodic system      319
Ergodic theorem      311
Ergodic theorem (additive)      332
Ergodicity      311 319 362 364
Ergodicity of Anosov maps      327
Errant point      347 448
Erratic motion      264
Eulerian vorticity equation      68
Europe, planet      42
Evans      433
Excited mode      238 239
Exeptionality of singularities      186
Existence theorem      143 184
Expansion in periodic orbits      384
Expansive map      370
Exponent of Lyapunov      330 331 470 472 473
External approximation      122 133
Fair dice      372
Fefferman      189
Feigenbaum      265
Fifth scenario      267
First integral      124
First principle of thermodynamics      6
Fixed point      424
Fixed point theorem      157
Flow of Couette      402
Fluctuation theorem      453 455 472
Fluctuations of Onsager — Machlup      459
Fluid continuum      2
Flux line      64 130
Form of Dirichlet      111 117
Formal field theory      396
Formula of Frenet      132
Formula of Fubini      349
Formula of Ghirsanov      394
Formula of Green — Kubo      458 463
Formula of Newton      41
Formula of Pesin      388
Formula of Stokes      22 23
Formula SRB      450
Fourth scenario      266
Fractal      412
Fractal dimension      196 238
Free surface      74
Frequency spectrum      286
friend      50
Function of Green      120 127 156 181
Function of H $\ddot{o}$ lder      188
Functional derivative      69
Functional integral      419
Functional integration      411
Gas      350
Gauss      432
Gaussian constraint      469 471
Gaussian distribution      140 392 399
Gaussian process      392
Gaussian random variable      141
Generalized derivative      58 114 117
Generating partition      366
Generating pavement      359
Generic property      245 246 256
Geodesic      298
Geodesic flow      74 290
Global existence      158
Global Leray theorem      186
Global stable manifold      344 355
Global unstable manifold      344 355
Golden number      296
Gradient field      57
Graffi      153
Group      317
Group of the octagon      298
Group SL(2,R)      300
Gyroscope      98 105 106 107 235
Gyroscopic analogy      98 105 107 108 233
Hamiltonian of Clebsch — Stuart      71
Hasimoto      133 140
Hausdorff      196
Heat      5
Heat equation      91 92 104 110 169
Heat theorem      431 450
History (symbolic)      358 371
History of an observable      284 307
Holonomic constraint      439
Homogeneous continuum      1
Homogeneous turbulence      413
Hopf      301
Hydrostatics      31
Hyperbolic map      375
Hyperbolic system      325 382
Hyperion, planet      302
Hypothesis of Batchelor      408
Hypparchus      302
Hysteresis      268 272 276 279 280 391 432
Illusion      18
Image method      181
Imperscrutable order      241
Incipient turbulence      237
Incoherent fluid      72
Incompressibility constraint      72
Incompressible diffeomorphisms group      74
Incompressible Euler equation      19
Incompressible fluid      16 17
Incompressible Navier — Stokes equation      28
Inequality of Calderon — Zygmund      206
Inequality of H $\ddot{o}$ lder      206
Inequality of Ledrappier      354

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