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Stoker J. J. — Water Waves: The Mathematical Theory with Applications
Stoker J. J. — Water Waves: The Mathematical Theory with Applications

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Название: Water Waves: The Mathematical Theory with Applications

Автор: Stoker J. J.

Аннотация:

Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications such as the Laplace and Fourier transform methods, conformal mapping and complex variable techniques in general or integral equations, methods employing a Green's function. Coverage includes fundamental hydrodynamics, waves on sloping beaches, problems involving waves in shallow water, the motion of ships and much more.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 609

Добавлена в каталог: 30.11.2013

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