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Gallavotti G. — Foundations of fluid mechanics
Gallavotti G. — Foundations of fluid mechanics



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Название: Foundations of fluid mechanics

Автор: Gallavotti G.

Язык: en

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
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Предметный указатель
Inequality of Sobolev      206
Inequality Poincar$\acute{e}$      206
Inertial range      400 403 407
Inertial regime      405
Inertial term      78 400
Infinite speed of heat      95
information      364
Information dimension      353 358 388 414 419
Instability      426
Integrability      124
Integrability by quadrature      132
Intermittency      405 460
Intermittency scenario      264
Internal approximation      119
Internal energy      5
Internet      365
Invariant distribution      316
Invariant set      315
Invariant torus      239 257
Irreducible representation of SL(2,R)      301
Irregular vorticity filament      133
Irreversibility      436
Irrotational flow      66
Isoentropic fluid      16 65
Isokinetic constraint      471
Isomorphism      362
Jeans      414
Judovic      154
Jupiter, planet      302
Kaplan      354
Kato      154
Kepler      41 239
Kinematic inequality      205 212
Kinematic viscosity      17
Kinetic energy operator      208
Kinetic theory      225
Kohn      211
Kolmogorov      406 417
Kraichnan      402
Lagrangian      72
Laminar motion      242 243
Laplace      240
Laplacian      156
Large container      190
Large deviation      456
Law 5/3      400 406 411 420 425
Law of Biot — Savart      54 129 131
Law of Kepler      41
Law of Kolmogorov      400 406 407
Law of Lavoisier      10
Law of mass action      13
Law of Rayleigh — Jeans      475
Law of Thomson      422
Length scale      190 211 226
Leray      176 179 184
Local bound of Leray      179
Local existence theorem for NS      144
Local field theory      396
Local function      387
Local homogeneity      204
Local Leray’s theorem      184
Local Lyapunov exponent      347 470 473
Local observable      433
Local regularity theorem for NS      144
Local Reynolds number      200 208
Local theory      143
Lorenz      232 240 250
Magic figure      298
Main bifurcation line      273
Map of Poincar$\acute{e}$      255 256 269 302
Markovian pavement      378 382 451
Mars, planet      42 302
Mass conservation      2
mass density      1
Mather      389
Maxwell      9
Mean free path      9 95 226
Measurable set      317
Measure of Hausdorff      196 197 198 202 211
Measure of Lebesgue      310 324 372
Measure of Liouville      291 322 340 391
Metaphysics      310
Method of images      98
Metric dynamical system      367 372
Metric of Lobatchevsky      288 297
Metric of Poincar$\acute{e}$      297
microcanonical ensemble      474
Minimal attracting set      315
Minimax principle      112 465
Missed symmetry      250
Mixing      320
mixing matrix      368
Mixing property      319
Mixing sequence      362
Mixing statistics      320
Mixing system      382
Model $NS^P{(M)}$      281
Model $NS_{7}$      234
Model of GOY      420 423 424
Model of Lorenz      227 230 237 278 374
Model of Rayleigh      227
Momentum conservation      3
Moon, planet      41 42
Motion by curvature      131
Multifractal      411 413 423
Multiplicative ergodic theorem      331
Multiplier of Lagrange      72 113
Niagara Falls      305
Nirenberg      211
Non Euclidean geometry      290
Non homogeneous continua      2
Non uniqueness      205
Non-uniqueness (hysteresis)      268
Nonlinear Schr$\ddot{o}$dinger equation      132 140
Nonwandering point      325
Normal attracting set      324 325
Normal form      253 271
Normal mode      79
Normal set, attracting      383
Number of Avogadro      39
Number of Grashof      49
Number of P$\acute{e}$clet      49
Number of Prandtl      49 228
Number of Pythagoras      296
Number of Rayleigh      49 232
Number of Reynolds      180 228 271 279 391 398 406 410 432
Numerical experiment      279
Onsager      457
Onset of chaos      237
Onset of turbulence      227
Operator of Laplace      102 120 125 181
Operator of Laplace, divergenceless      102
Operator of Schr$\ddot{o}$dinger      419
Optical metric      288
Optical path      290
Optimal approximation      294
Orbit collision      276
Oseledec      331 337
Over determined problem      105
Pair annihilation      271
Pair creation      271
Pairing rule      470 472 473
Paradigm of chaos      306
Paradox      95
Paradox of Loschmidt      431
Paradox of Zeno      301
Partition      366
Perfect gas      24
Perfidy      422
Period doubling bifurcation      261 276
Period doubling scenario      264 265
Periodic boundary condition      143
Periodic Green’s function      127
Periodic orbits development      352
Periodic point      248
Pesin      331
Phase locking      260
Phase space      237 241 283 300
Phenomenological equation      226
Phenomenology of turbulence      400
Piecewise regularity      313
Planar homography      297
Plato      440
Poincar$\acute{e}$      239
Pole of hyperbolic motion      444
Portion of regular surface      313 369
potential flow      66 80
Potential of Clebsch      65 68 78
Power spectrum      284 303
Prigogine      13 14
Principle of conservation of difficulties      422
Principle of Curie      7
Principle of D’Alembert      439
Principle of Gauss      432 433 439 458 465 472
Principle of Gibbs      384
Principle of Ruelle      383 391 419 424 429 440
Problem of Dirichlet      35 75 125
Problem of Neumann      59 75 105
Problem of Stokes      98 104
Process of Markov      368 369 381
Property of the normal      62
Ptolemy      239 269
Quadrangular equality      112
Quadratic irrational      295
Quadrature      107 124 132
Quasi periodic function      285
Quasi periodic motion      124 126 238 257 284
Radius of curvature      132
Ragunathan      337
Random choice of data      307
Random curve      135
random data      316
Random number generator      307 315
Random process      426
Rarefied gas      9
Rational independence      285
Rayleigh      232
Reciprocity of Onsager      7 13 456 457 458
Recurrent property      303
Red Spot of Jupiter      302
Regime of Rayleigh      46
Regular dynamical system      328
Regular map      314
Regular portion of surface      358
Regular surface      283
Regularity theorem      143 184
Regularization      162 176 177 179 205 227
Regularization of Leray      176
Regularized equation      162 178
Relation of Clausius — Maxwell      49
Renormalization group      209 398
Rescaling method      24
Resonance      260 270
Reversibility      335 435 436 442 470
Reversible system      335
Rotation number      256
Rotation spectrum      286
Ruelle      240 325 337 351 370 383 389
Scale of Kolmogorov      422 424
Scaling law      410
Scenario of Feigenbaum      272
Scenario of Hopf      267
Scenario of intermittence      272
Scenario of Landau      267
Scenario of Pomeau — Manneville      264
Scenario of quasi periodicity      267
Scenario of Ruelle — Takens      265 272
Scheme of Bernoulli      368 369 372 383
Second principle of thermodynamics      6
Section property      62
Seed of random numbers      307
Semigroup      317
Sense of distributions      58 110
Separable space      246
Sequence of digits      360
Set attracting      441
Set of Cantor      196 197 310 357 373
Shannon      365
Shear flow      402
Shell model      419
simplex      321
Sinai      325 351 366 382 385 431 450
Singular point      314
Singularities in NS      196 197 204
Singularities in space-time      199
Singularity      186
Skew correlation      416 422
skewness      412 417 422
Smale      326 445
Small wave      77
Smoke ring      65 131
Smoke ring equation      131
Sobolev      114
Solenoid (attracting set)      357
Solenoidal field      57
Solid continuum      2
Solution of Leray      186 193 197 199 205
Solution of NS: C-weak      186 189
Solution of NS: L-weak      186 189
Sound speed      19
Sound wave      78
Space-time singularity      204
Special relativity      95
Spectral algorithm      99 101
Spectral method      98 101 172
Spontaneous breakdown of time reversal      439
Spontaneous symmetry breaking      251 261 425
Stability matrix      243 248 251 256 269 274
Stable global manifold      327
Stable manifold      271 346 379 388 452
Stable manifold, $\delta$-local      344 346
Stable property      246
Stationary distribution      391
Stationary state      239 271 391 400
Statistical ensemble      431 433 469
Statistical mixture      321
Statistics      307
Statistics equivalence      468
Statistics of a string      364
Statistics of Boltzmann — Gibbs      384
Statistics on attracting set      316
Stechiometric coefficient      10
Steward      412
Sticky viscosity      465
Stochastic process      395
Strange attracting set      278 324 355
Strange motion      239 240
Stratified equilibrium      33 39
Stratified fluid      32 67
Stress law      3
Stress tensor      1 15
String of digits      360
Structural stability      388 434 447 449
Structural stability theorem      388
Stuart      71
Substantial derivative      8
Sun      41
Support of a distribution      333 354
Surface wave      78
SWATCH      305
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