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| Авторизация |
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| Stoker J. J. — Water Waves: The Mathematical Theory with Applications |
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| Предметный указатель |
Abdullah, A.J. 375 388
Aerodynamics 411
Angle of trim 286
Archimedes’ law 254 277
Arthur, R.S. 132 133
Atmosphere, gravity waves 874
Atmosphere, tidal oscillations 374
Atmosphere, waves on discontinuity surfaces 375
Backwater curves 456
Backwater effects in long rivers 461
Baird, E.G. 412
Bakhmeteff, B.A. 451
Bateman, H. 117
Bates, C.C. 138
Beaches see also "Sloping beaches"
Beaches, waves breaking on shallow 352
Bernoulli’s law 9
Bernstein, S., theorem 43
Biesel, F. 364 365
Bifurcation conditions 529
Bifurcation phenomenon 343
Birkhoff, G. 342
Bjerknes, J. 376
Board, as fixed breakwater 432
Board, as floating breakwater 436
Bondi, H. 72
Bore 307 315 326 368
Bore, development 351
Bore, Tsien-Tang River 820 368
Bouasse, H. 423
boundary conditions 10 19
Boundary conditions, dynamical 55
Boundary conditions, fixed boundary surface 11
Boundary conditions, free surface 11
Boundary conditions, kinematic 16 56
Boundary conditions, small amplitude theory 19
Boundary conditions, tidal theory 422
Boussinesq, J. 342 351 451
Breaking of a dam 313 333 513
Breaking of a dam, discharge rate 338
Breaking of a dam, resulting bore 334
Breaking of waves 69 307 315
Breaking of waves, at crests 369
Breaking of waves, in shallow water 351
Breaking of waves, induced by wind action 372
Breaking of waves, on shallow beaches 352
Breakwaters 429
Breakwaters, Cauchy — Riemann equations 345
Breakwaters, dispersion induced 443
Breakwaters, fixed board 432
Breakwaters, floating board 436
Breakwaters, floating elastic beam 438
Breakwaters, reflection of energy 446
Broer, L.J.F. 53
Bruman, J.R. 412
Carr, J.H. 132 445 448
Carson, R.L. XIV
Cauchy, A.L. 35 154
Cavitation 310
Characteristic(s), curves 294
Characteristic(s), differential equations 294
Characteristic(s), envelope 307 314 355
Characteristic(s), intersection 355
Characteristic(s), method 293 469
Characteristic(s), propagation of discontinuities along 473
Charney, J.G. 375
Chezy formula 466
Chrystal, G. 424
Circulation 7
Cliff, waves against a vertical 84
Cnoidal waves 342
Cold front 380
Comparison of predicted and observed floods 498
Compressibility 3
Contact discontinuity 318
Continuity equation 453
Convolution theorem 143
Cooper, R.I.B. 138
Copson, E.T. 117 181
Coriolis acceleration 383
Coriolis acceleration, force 381
Cornish, V. 466
Courant, R. 293 300 407 470 476 477
Crests, breaking of waves at 369
Critical speed, inappropriateness of linear theory at 217 344
Critical speed, instability of steady flow with 344
Crossley, H.E. 412
Cyclone 376 399
Daily, J.W. 351
Dam, breaking 313 333 513
Dam, discharge rate on breaking 338
Dam, shock resulting from breaking 334
Danel, P. 138
Darbyshire, J. 137
Davies, T.V. 374 522
de Vries, G. 342 343
Deacon, G.E.R. 137 171
Deymie, P. 505
Diffraction around a vertical wedge 109
Diffraction around a vertical wedge, problem of Sommerfeld 109
Diffraction around a vertical wedge, theory, physical verification of 132
Dipoles 13
Discontinuities, propagated along characteristics 473
Discontinuity conditions 314
Discontinuity conditions, surfaces in the atmosphere 375
dispersion 51
Divergence theorem 6
Diverging system of waves 237
Dock problem 74
Dock problem, two-dimensional 108
Domain of dependence 298
Domain of determinancy 299
Dressler, R.F. 466 467 468
Dubreuil-Jacotin, M.L. 522
Dynamic boundary condition 16 55
Eckart, C. 73 136
eigenvalue problems 424
Einstein, H.A. 412
Elastic beam, used as floating breakwater 438
Energy 13
Energy, average 50
Energy, balance across a shock 318
Energy, flux 13
Energy, rate of change 13
Energy, reflected by a breakwater 446
Energy, transmission by progressing waves 15
Energy, transmission by simple harmonic waves 47
Energy, velocity of the flow of 49
Engineering methods in flood wave problems 485
Envelope of characteristics 307 314 355
Equation of continuity 7 453
Equations of flow in open channels 452
Equations of motion 4
Equations of motion, Eulerian form 6
Equations of motion, Lagrangian form 4
Equations of shallow water theory, nonlinear 24
Equations of shallow water theory, validity beyond the breaking point 362
Euler variables 5
Exact free surface condition 513
Experimental, solitary wave 351
Experimental, wave tanks 71
Experimental, waves on sloping beaches 71
Finite difference methods 296 424 474
Finite difference methods, convergence of 477 481
Finkelstein, A. 153 187
Fjeldstad, J.E. 147
Fleishman, B. 438
Fleming, R.H. 133
Floating, bodies in shallow water 431
Floating, breakwaters 414
| Floating, elastic beam 438
Floating, rigid body 245
Flood prediction 482
Flood routing 461
Flood waves, in the Mississippi and Ohio Rivers 458 483 494
Flood waves, monoclinal 462
Flow, around bends 405
Flow, between two walls 410
Flow, in open channels 451
Flow, of energy 13
Flow, over obstacles 344
Flow, through a sluice 407
Forced oscillations 55
Forchheimer, P. 451
Forel, F.A. 423
Fourier integral theorem 153
Fourier transform 35 155
Free natural vibrations of a lake 424
Free surface 11 see
Free surface condition 20
Free surface condition, exact 11 513
Free surface condition, linearized 11 12 35
Free surface elevation 16
Freeman, J.C., Jr. 375 377 384 388 408
Friction 451
Friction slope 455
Friedrichs, K.O. 27 32 73 74 75 76 108 293 300 343 344 345 349 371 407 470 529
Front 378
Front of shock 320
Front, cold 374 380
Front, occluded 381
Front, stationary 378
Front, warm 374 380
Gas dynamics analogy 25
Geometrical optics 133
Gerber, R. 522
Gilerest, B.R. 451 462 482
Goldstein, E. 447
Gravity waves in the atmosphere 374
Green’s function 280
Green’s function, time-dependent 187
Group of waves 51
Group velocity 51 170
Hamada, T. 359 372
Hanson, E.T. 72 89
Harbors, design of 429
Harbors, model studies 429
Harbors, oscillations 414
Harleman, D.R.F. 412
Haskind, M.D. 248 259
Haurwitz, B. 376
Havelock, T.H. 219 242 246 248 253 256
Heave 250 255
Heaving 278
Heins, A.E. 74 108 141
Helmholtz’s theorem 7
Higher-order approximations in shallow water theory 28 32
Hinze, J.O. 160
Hogner, E. 220 242
Hopf, E. 44
Hump 352
Hydraulic analogy 412
Hydraulic jumps 307 324 407 see
Hydraulic jumps, interaction of 412
Hydraulic radius 454
Hydraulics, mathematical 451
Hydrostatic pressure law 24 31
Hydrostatic pressure law, in meteorology 374 382
Hyers, D.H. 32 343 345 349 371 529
Influence point 228
Initial characteristic 302
Initial steepness of a wave 357
Instability of steady flow with critical speed 344
Interaction of two hydraulic jumps 412
Internal waves 147
Intersection of characteristics 355
Irrotational flow 9
Isaacs, J.D. 133
Isaacson, E. 73 74 451 476 477
Iteration process 539
Iversen, H.W. 359
Jeffreys, H. 352 422
John, F. 76 113 146 175 206 249 431
Johnson, J.W. 133
Johnson, M.W. 133
Jump, hydraulic see "Hydraulic jumps"
Junction of the Ohio and Mississippi Rivers 457 509
Junction of the Ohio and Mississippi Rivers, flood wave through 494
Kampe de Feriet, J. 187
Karp, S.N. 117 141
Keldysh, M.V. 203
Keller, J.B. 32 141 146 343 351 371 447 476 481
Kelvin, W.T. 163 219
Kelvin’s theory of ship waves 219
Keulegan, G.H. 370
Kinematic boundary condition 16 56
Korteweg, D.J. 342 343
Korvin-Krukovsky, B.V. 260
Kotik, J. 153 187
Kotschin, N.J. 61
Kreisel, G. 146
Krylov, A.N. 248
Lagrangian form of the equations of motion 4
Laitone, E.V. 412 413
Lake, free natural vibrations of 424
Lamb, H. 23 27 57 58 180 421
Lavrentieff, M. 344
Lax, A. 368
Lax, P. 476 481
Leray, J. 522
Levi-Civita, T. 17 21 343 345 346 347 374 513 522 524
Levi-Civita’s theory 513 522
Lewis, E.V. 260
Lewy, H. 61 72 73 74 76 79 108 537
Lichtenstein, L. 515 522 529
Linear theory 35
Linear theory, derivation of 19
Linear theory, free surface condition 21
Littman, W. 522
Local speed of small disturbance see "Wave speed"
Long waves, theory of 23 291
Longuet-Higgins, M.S. 137 138
Lowell, S.C. 136
Lunde, J.K. 246 248 257
Macdonald, H.M. 117
Mach lines 409
Manning’s formula 454
Manning’s roughness coefficient 457
Margules’ law 387
Mason, M.A. 372
Mass flux 6
Mass flux, across a shock front 318
Massau, J. 482
Mathematical hydraulics 451
McNown, J.S. 426 428
Meteorology 374
Meteorology, hydrostatic pressure law in 374 382
Miche, A. 72 137
Michell, J.H. 248 253 256 263 285
Michell’s type ship 257
Microseisms, origin of 137
Mississippi River 509
Mississippi River, flood waves 458 484
Mississippi River, junction with the Ohio River 457 509
Mississippi River, model 482 509
Model studies of harbors 429
Models of the Ohio and Mississippi Rivers 482 508
Momentum, conservation of 3
Monoclinal flood wave 402
Motions see also "Flow" "Waves"
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