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Myshkis A.D. — Low-Gravity Fluid Mechanics: Mathematical Theory of Capillary Phenomena
Myshkis A.D. — Low-Gravity Fluid Mechanics: Mathematical Theory of Capillary Phenomena



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Название: Low-Gravity Fluid Mechanics: Mathematical Theory of Capillary Phenomena

Автор: Myshkis A.D.

Язык: en

Рубрика: Физика/Классическая физика/Механика жидкости и газа/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 583

Добавлена в каталог: 02.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Angle, boundary      4 18 116 118 188
Angle, contact      4 18 147 387
Angle, dihedral      189
Angle, flow-back      24 117
Angle, flow-in      24 117
Angle, rotation      237
Angle, wetting      4 18 24 135 235 349 394
Approximation, Boussinesq      466
Bifurcation of axisymmetric shape      246
Bifurcation of axisymmetric shape in circular cylinder      232
Bifurcation of axisymmetric shape of equilibrium shapes      223
Bifurcation of axisymmetric shape of solutions      490
Coefficient(s), expansion      358
Coefficient(s), filling      46 60
Coefficient(s), Lame      393 438
Coefficient(s), Ritz      378
Condition(s), boundary      279f.
Condition(s), Cauchy — Riemann      420
Condition(s), Dupre — Young      18
Condition(s), dynamic      279 423
Condition(s), Euler      17
Condition(s), kinematic      278
Condition(s), Laplace      17f.
Condition(s), no-flow      278
Condition(s), stability      122
Condition(s), strong potential-energy minimum      122
Condition(s), zero-gravity      549f.
Constant, capillary      33
Convection      464ff.
Convection in thin layer      478
Convection, concentration-capillary      507 510f. 516 525
Convection, free      466
Convection, gravitational      464
Convection, longwave      516
Convection, shortwave      516
Convection, thermocapillary      508ff. 517
Criterion, general stability      206
Criterion, Reynolds      268
Critical loads      146
Damping factor      395 432 438 440 442
Diagram, Newton      219 273
Duality patterns      39 148
Ellipsoid, Jacobi      256
Ellipsoid, Maclaurin      256
Energy, kinetic      278
Energy, potential      278 296
Energy, potential, free      3
Energy, surface      3
Equation(s), bifurcation      239 244 251 271 491
Equation(s), boundary-layer      63 97
Equation(s), continuity      278
Equation(s), convection      503
Equation(s), elliptic      446
Equation(s), equilibrium      60
Equation(s), Euler      236 301 309
Equation(s), Euler, linearized      277
Equation(s), Fredholm      228 381 492
Equation(s), Fredholm, abstract      457f.
Equation(s), free-convection      466
Equation(s), Helmholtz      399
Equation(s), integral      481
Equation(s), Laplace      297 335 356
Equation(s), Navier — Stokes      268 392 467
Equation(s), operator      296ff. 313 449 469
Equation(s), Poisson      465
Experiment, Plateau      7
Factor, filling      147
Factor, loading      33
Field, gravitational force      76 83 117 139f. 173 199 207
Field, vector, poloidal      411
Field, vector, toroidal      411
Force(s), Archimedean      11 464 511
Force(s), capillary      3 121 425
Force(s), Coriolis      324 329 344 346 415 419 436
Force(s), gravitational      155
Force(s), self-gravitational      4 433
Force(s), surface      3 5f.
Form, axisymmetric equilibrium      156
Formula(s), Fritz      154
Formula(s), Gauss      19 440
Formula(s), Green      292 297f. 300 303f. 308 321 415 447 449f.
Formula(s), interpolation      101
Formula(s), Ostrogradsky      300
Formula(s), Simpson      357 361 365 373
Function(s), Green’s      356f. 371 385 389 395 471 489
Function(s), Neumann      332
Gyroscopic stabilization      124 160 418
Hausdorff area      29
Hysteresis, wetting      24
Instability, Rayleigh — Taylor      549
Integral, Cauchy      280
Integral, Cauchy — Lagrange      335
Integral, Dirichlet      303
Law, Laplace      295
Line, contact      16 18 21 23 62 116 118 122
Line, contact, perturbed      115
Line, equilibrium      30 32 35f. 55 62 80 83 88 141 146 175f. 179
Line, equilibrium, symmetric      87
Line, wetting      4 209
Liquid(s), capillary      276 459f.
Liquid(s), heavy      276 432
Liquid(s), ideal      276ff. 334ff. 409 421 431 459
Liquid(s), immiscible      312 320 331
Liquid(s), immobile      466
Liquid(s), incompressible      541
Liquid(s), low-viscosity      425 427 442
Liquid(s), Newtonian      524
Liquid(s), non-rotating capillary      441
Liquid(s), non-rotating capillary, heavy      439
Liquid(s), rotating      322 375
Liquid(s), rotating, viscous capillary      445
Liquid(s), self-gravitating      121 427 464 506f.
Liquid(s), viscous      392 435 460
Liquid(s), zero-gravity      373 442 445
Loading, critical      146
Loading, negative      40
Loading, positive      39
Low-gravity      1f. 6 12
Method(s) of collocation      355
Method(s) of indeterminate coefficients      494
Method(s) of integral equations      359
Method(s) of local variations      99
Method(s) of stability calculation      213
Method(s), boundary-layer      62 422 428f 435ff.
Method(s), finite-difference      81
Method(s), floating zone      198
Method(s), Galerkin      257 397f. 476 485 522ff.
Method(s), graphic      37
Method(s), Lyapunov — Schmidt      269 271 273f. 469
Method(s), narrow-band      485
Method(s), Newton — Kantorovich      80f 533f.
Method(s), Newton’s      37 60 101 146 377
Method(s), numerical      98
Method(s), optical discretization      101
Method(s), Plateau      7
Method(s), Ritz      310f 315 330 332 349f. 366 389f. 459
Method(s), small-parameter      388
Method(s), trial-and-error      74
Method(s), variational      304
Mode(s), geostrophic      340
Mode(s), hard      221
Mode(s), soft      221
Modelling      34
Number, Biot’s      480 545 548
Number, Bond      34 61 109 116 147
Number, Froude      479
Number, Galileo      543 549
Number, Marangoni      511 526f. 550
Number, Prandtl      500 535 540 551
Number, Prandtl, diffusion      525
Number, Rayleigh      479 490 504 550f.
Number, Reynolds      500 552
Number, Schmidt      525 551
Number, Weber      480
Operator(s), Fredholm      269 271
Operator(s), gyroscopic      338 446
Operator(s), kinetic energy      297
Operator(s), Legendre      364
Operator(s), potential energy      297
Oscillation(s), free      398
Oscillation(s), inertial      329
Oscillation(s), linear      349 392
Oscillation(s), natural (normal)      281 293 304 394 421 433f.
Oscillation(s), nonlinear      294
Oscillation(s), plane      349 355 358 366f.
Oscillation(s), small      276ff.
Parameter(s), bifurcation      506
Parameter(s), boundary      136f.
Parameter(s), correctness      368
Parameter(s), spectral      468
Perturbation(s), allowed      163 184
Perturbation(s), antisymmetric      141f. 149 151 176f. 242
Perturbation(s), axisymmetric      137 149 152 154 159 161ff. 188 196f. 200 202 242 252
Perturbation(s), dangerous      129f. 136 138 141 149 151 159 162f. 171f. 174 176f 181 209 211
Perturbation(s), first-harmonic      162
Perturbation(s), non-axisymmetric      155 159 161 164 188 195 200 205 211 214
Perturbation(s), plane      171
Perturbation(s), second-harmonic      162
Perturbation(s), small      104
Perturbation(s), symmetric      142
Perturbation(s), zero-volume      210
Phenomena, capillary      13
Potential, gravitational      428
Potential, Newtonian      465
Potential, well      220
Principle of exchange of stabilities      468
Principle of minimum potential energy      120
Problem(s), axisymmetric      30 38 57f. 61 129 134 211 260
Problem(s), bifurcation      249 254
Problem(s), boundary-value      97f. 106f. 110 118 129 132 224 226f. 231f. 234 237f. 243f. 249ff. 282f. 289 297f. 317 325 379 386 395 420 428 448f. 471 475 480f. 494 496 498 509 512 534 538
Problem(s), Cauchy      60 77 337 350 456 547
Problem(s), eigenvalue      304 471 474
Problem(s), equilibrium surface      25 32 128
Problem(s), linearized      82 92
Problem(s), Maxwell      209
Problem(s), Neumann      103 335 382 385 447
Problem(s), plane      83 257
Problem(s), Plateau      12
Problem(s), Sobolev      340
Problem(s), stationary-value      309
Problem(s), two-dimensional      94
Problem(s), unperturbed      224
Problem(s), variational      98f.
Region, maximal stability      39ff. 135f. 141 146 169ff. 187
Scheme(s), difference      529
Scheme(s), Kelvin      123f. 126 130 156 165f. 256f.
Scheme(s), Poincare      123f. 126 130 132 156 165 256
Self-gravitation      419
Sessile drop      49
Shape(s), axisymmetric      50
Shape(s), equilibrium      55 59 74 78 100 109 118 124
Shape(s), equilibrium, annular      83 167
Shape(s), equilibrium, stable      122
Shape(s), non-axisymmetric      115
Space, Banach      269f. 467
Space, Hilbert      281 336 347 395 446ff. 450 460 469 523
Space, Holder      274
Space, Pontryagin      307
Stability boundary      487ff. 511
Stability boundary, Marangoni      524
Stability of convective motion      494
Stability of cylindrical equilibrium surface      133
Stability, criteria      167
Stability, criteria, spectral      167
Stability, equilibrium      149 194
Stability, loss in cylindrical vessel      237
Stability, loss in cylindrical vessel, dangerous      222
Stability, loss in cylindrical vessel, safe      222
Stability, margin      220 240 246 260ff. 265ff.
State(s), axisymmetric      150 154 170
State(s), equilibrium      16 120 139f.
State(s), non-axisymmetric      193
State(s), stability of      120
Surface(s), critical      159
Surface(s), cylindrical free      160f.
Surface(s), equilibrium      32f. 53 55 57f. 73 80 87 101 104 119 127 190
Surface(s), equilibrium, axisymmetric      67 137
Surface(s), equilibrium, cylindrical      167 170
Surface(s), equilibrium, doubly connected      194
Surface(s), equilibrium, horizontal      139 173
Surface(s), equilibrium, stability of      146
Surface(s), flat (gently sloping)      110
Surface(s), free      65 190 192
Surface(s), nonsymmetric      197
Surface(s), tension      37f. 97
System, parameter-dependent      130
Technique, floating zone      194
Theorem on explicit functions      271
Theorem, Gagliardo’s      524
Theorem, instability      124
Theorem, Keldysh’      455
Theorem, Krasnosel’skii      490
Theorem, Krein’s      473
Theorem, Lagrange’s      323
Theorem, Meusnier’s      31
Theorem, Mikhlin      304
Theorem, Riesz’s      447 460
Theorem, Rouche’s      416
Theorem, Sobolev’s embedding      396 447 449
Theorem, stability      124 397
Theorem, Weyl’s      347
Theorem, Yudovich’s      492f.
Theory of bifurcation of solutions      507
Theory of bifurcation of solutions of oscillating kernels      507
Theory of bifurcation of solutions, boundary-layer      62
Theory of bifurcation of solutions, Fredholm’s abstract      454
Theory of bifurcation of solutions, Frobenius      474
Theory of bifurcation of solutions, Kato’s general      457
Theory of bifurcation of solutions, Krasnosel’skii’s      474
Theory of bifurcation of solutions, Landau phenomenological      491
Viscosity, high      410
Viscosity, low      409 422 425
Wave(s), backward      325
Wave(s), capillary      81
Wave(s), forward      325
Wave(s), inertial      340
Wave(s), internal      326 330
Wave(s), standing      325
Wave(s), surface      326 328 441
Weyl’s sequence      346
Zero-gravity      1f. 6 43 50 72 82 100 137 143 145 154 156 159 164 166 172f. 188 194 203f. 206 253 433 464
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