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Billingham J., King A.C. — Wave Motion
Billingham J., King A.C. — Wave Motion

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Название: Wave Motion

Авторы: Billingham J., King A.C.

Аннотация:

Waves are a ubiquitous and important feature of the physical world, and, throughout history, it has been a major challenge to understand them. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymp totic expansions as well as with fluid mechanics, elasticity, and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1 edition

Год издания: 2000

Количество страниц: 464

Добавлена в каталог: 09.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute temperature      38 239
Acoustic energy flux      63
Acoustic intensity      44
Acoustic intensity vector      62
Acoustic source      44 59 64
Acoustic velocity potential      39
Acoustically compact      61 69 73 393
Added damping      91
Added mass      91
Adiabatic flow      39
Admittance      46 70
Advection-diffusion equation      324 358
Air      38 174 198 240 256 305 378
Air entrainment      305
Aircraft      378
AKNS method      436
Ampere’s Law      179 217
Amplitude      9 60 77
Amplitude-dependence, nonlinear      424
Analytic continuation      388
Angle of incidence      50
Angle of reflection      51
Angular frequency      9 21 199
Antenna      33 208 213 218
Anvil      42
Aperture      3 70 391 394 401 404
Associated Legendre equation      409
Asymptotic balance      147
Asymptotic expansion      281 288 308 322 323 329 351 371 427
Asymptotic method      2 152 285
Asymptotic solution      307 357 370 377 446
Atmospheric pressure      76
Attenuation      425
Autocatalysis      311 316 326 350 351
Avogadro’s number      239 310
Axisymmetric solution      54
Axon      335 340
Axoplasmic material      335
Barrier      378 379 403
Basis function      23
Beach      87 97 114 121
Bed      124 269 289
Bed condition      77 87 99
Bed topography      74 97
Belousov — Zhabotinskii (BZ) reaction      308
Bending deformation      145
Bendixson’s negative criterion, Dulac’s extension to      343 352
Benjamin — Feir instability      285 297 431
Bernoulli condition      284 301
Bernoulli condition, linearised      91
Bernoulli constant      281
Bernoulli’s equation      76 289
Bernoulli’s equation, linearised      95
Bessel function      55 166 400
Bessel function, modified      160 204
Bessel’s equation      55 115 151
Biot — Savart law      176 217
Boltzmann’s constant      239
Bore      269 270 275
Bore, Severn      275
Bore, undular      280
Boundary condition      20 23 45 48 50 55 60 64 66 93 132 135 189 201 221
Boundary condition, dynamic      98
Boundary condition, impedance      403
Boundary condition, kinematic      98
Boundary layer, viscous      383
Boundary value problem      77 88 152 217 379 411
Boundary value problem, nonlinear      298
Brain      334
Breakers      305
Breaking waves      115
Brewster’s angle      198
Burgers’ equation      3 355
Cagniard — de Hoop technique      166
Canal      297
Capacitance      340
Capillary length      94
Capillary surface      94
Capillary wave spectroscopy      306
CAR      130
Car density      222
Car flowrate      223 358
Car velocity      222
Cartesian coordinates      451
Cauchy — Riemann equations      300
Causality      425
Central nervous system (c.n.s)      334
Centrosymmetric crystal      425
Chaos      308 313 350
Chapman — Jouguet point      257
Characteristic coordinates      366
Characteristic curve      2 219 221 226 245 270 358 371
Characteristic curves      367
Characteristics, intersection of      232 247
Characteristics, neighbouring      232 247
Charge      173 395
Charge density      176 209
Charge, surface      188
Chemical concentration      310
Chemical reaction      220 256 258 308 349
Chemical species      2
Cladding      202
Clarinet      49
Clock reaction      312
coating      33
Coefficients of normalisation      412
Cole — Hopf transformation      355 358 375
Combined free surface condition      86 87 99 106
Combustion      310
Compact disc      378
Compact source      65
Complex potential      300
Complex variable theory      220 269
Complex velocity      300
Compressible gas      219
Computer algebra      416 421 442
Conduction, saltatory      340
Conductivity      188
Conductor      186
Conductor, perfect      188 191 378
Conformal mapping      285
Connection coefficients      406
Connection problem      406
Conservation equation      223
Conservation law, integral      277
Conservation laws, systems of      238
Conservation of cars      223 237 248 314
Conservation of charge      177 340
Conservation of chemical      314
Conservation of current      314
Conservation of energy      243 249 261
Conservation of horizontal momentum      110
Conservation of mass      37 42 43 74 110 244 248 261 276 314 315
Conservation of momentum      37 42 49 74 243 249 261 277
Conservation of total mass      310
Conservation of vertical momentum      109
Conserved quantity      12
Continuity of normal velocity      87
Continuum approximation      222
Convective acceleration      40 75
Convective derivative      43
Convolution theorem      160
Core      202
Crapper, G.D.      299
Critical angle      196
Current      337
Current density      179 209 340
current loop      179
Current, localised distribution      212
Current, surface      188
Current, time-varying      208
Curvature      299
Cut-off frequency      50 53 57 151
Cylindrical polar coordinates      54 201 451
Dam break problem      270
Damper      92
Decibel      44
Deep water      79 90 97 99 104 124 125 220 269 399
Degrees of freedom      239
Dendritic cell body      335
Density discontinuity      29
Detonation      256
Detonation adiabatic      257
Detonation, over-driven      261 268
dielectric constant      187 199
Differential-difference equation      405
Diffraction      3 17 70 100 355 378 401
Diffraction pattern      378 397 404
Diffraction pattern, optical      394
Diffraction, Fraunhofer      393
Diffraction, Fresnel      393
Diffraction, geometrical theory of      398
Diffraction, scalar      379 391 397
Diffraction, Sommerfeld      379
Diffraction, vector      379 394
Diffusion      220 308 314 355
Diffusion coefficient      314 316
Diffusion equation      349 367 376
Diffusion equation, linear      314
Diffusion equation, nonlinear      314
Dilatation      131
Dimensional analysis      143
Dipole moment      210
Dipole, harmonic electric      218
Directivity      57 398
Directivity function      69 73
Discontinuity      221 234
Discrete spectrum      407 438
dispersion      10 77 99 111 189 205 220 269 285 307 424 430
dispersion relation      10 15 77 79 84 88 93 96 99 100 111 121 146 148 156 286 295 304
Dispersion, anomalous      434
Dispersion, material      207 431
Dispersion, normal      433
Dispersion, waveguide      207 431
Dispersive system      10 15
Displacement current      179 180
Displacement vector      130
Dissipation      362 367
Distributed circuit theory      308
Divergence theorem      43 177 185 190 316 453
Drift      284
Duck      99
Dynamic boundary condition      76 95 106
Dynamic free surface condition      80 86
Dynamo      180
d’Alembert’s solution      26 34 368
Ear      42 44
Earthquake      1 74 115 130 139 156
EDGE      378 390 401
Eigenfrequency      53 72 217
Eigensolution      22 204
Eigenvalue      406
Eigenvalue, bound state      407
Eikonal equation      153
Elastic body, finite      143
Elastic body, infinite      132 157
Elastic body, semi-infinite      135 161
Elastic body, unbounded      172
Elastic half-space      169
Elastic solid      130 219
Elasticity      2
Electric circuit theory      340
Electric current      174
Electric current density      177
Electric Dipole      210
electric dipole moment      187
Electric dipole, time-harmonic      210
Electrical permittivity      174
Electromagnetic induction      180
Electromotive force      181
Electron      173 187 216 425
Electrostatics      177
Elliptic function      294 296
Energy      11 15 16 19 23 27 29 31 33 53 56 57 62 81 100 109 124 148 197 206 276 278 281
Energy density      12 186
Energy extraction      91
Energy flux      44 46 73 186 211 214 243 252
Energy loss      252
Energy transmission      44
Energy, acoustic      42
Energy, acoustic potential      43
Energy, compressive potential      44 81
Energy, dissipation of      280
Energy, elastic potential      12
Energy, electrical      91
Energy, equipartition of      25 27 45 125 186
Energy, hydrodynamic      91
Energy, hydrostatic potential      278
Energy, incident      93
Energy, internal      239 243 249
Energy, kinetic      12 19 25 44 71 83 243 278
Energy, mechanical      241
Energy, potential      12 20 25 71
Energy, thermal      241
Energy, wave      126
Enthalpy      241
entropy      241 244 246 248 252 262 280 363 365
Envelope      9 13 21 424 449
envelope function      426
Enzyme reaction      329
Equal areas rule      236 248 266 361
Evanescent mode      151
Expansion fan      230 369 371 374
Explosion      252
Far field      60—62 65 73 210 212 213 380 393 397
Faraday resonance      128
Faraday’s law      180
Feedback      337
Fick’s law of diffusion      314
Field, axial component      201 203 217
Field, dipole      208
Field, electric      173 183
Field, electromagnetic      177 185
Field, magnetic      173 183
Field, transverse components      201 203 217
Fisher’s Equation      323
Fitzhugh — Nagumo equations      308 334 342 352
Flexural deformation      145
Flow, irrotational      281
Flow, one-dimensional      244
Flow, subsonic      251
Flow, supersonic      251
Fluid mechanics      131 222 314 405
Fluid particle      76 81
Force, electric      173
Force, electromagnetic      185
Force, gravitational      36
Force, hydrodynamic      91 93 401
Force, intermolecular      94
Force, internal line      157
Force, localised      156
Force, magnetic      173
Force, point      161
Force, restoring      74
Force, viscous      36 364
Ford Fiesta      85
Fossil fuel      91
Fourier component      48 107 109
Fourier integral      171
Fourier integral transform      66 105
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