Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Debnath L. — Nonlinear Partial Differential Equations for Scientists and Engineers
Debnath L. — Nonlinear Partial Differential Equations for Scientists and Engineers

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Nonlinear Partial Differential Equations for Scientists and Engineers

Автор: Debnath L.

Аннотация:

This book presents a comprehensive and systematic treatment of nonlinear partial differential equations and their varied applications. It contains methods and properties of solutions along with their physical significance. In an effort to make the book useful for a diverse readership, modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Nonlinear Partial Differential Equations for Scientists and Engineers is an exceptionally complete and accessible text/reference for graduates and professionals in mathematics, physics, science, and engineering. It is also suitable as a self-study/reference guide.


Язык: en

Рубрика: Математика/Анализ/Дифференциальные уравнения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 593

Добавлена в каталог: 06.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Abdelkader      325
Ablowitz      96 99 325 400 413
Absorption isotherm      205
Acoustic radiation problem      62—64
Acrivos      97
Adiabatic invariant      463
airy      332
Airy differential equation      442
Airy function      36 358
Airy integral      36
AKNS method      400—401
Alfven wave velocity      266
Ammerman      95 302
Antikink      336 474 477
Antisoliton      473 474 477 483
Aoki      95 301
Arecchi      95
Aris      95
Arnold      95 301
Aronson      323
Asano      97 502 511—512 515 526
Associated Legendre equation      376
Associated Legendre function      376
Asymptotically stable      306
Average conservation equation      464
Average Lagrangian      468 470
Average variational principle      469
Axisymmetric acoustic radiation problem      62
Axisymmetric diffusion equation      61
Axisymmetric wave equation      60
Backlund transformation      386—388 403 450 484
Balmforth      98
Barenblatt      324—326
Barone      95
Ben Jacoh      98
Benjamin      97 98 280 418
Benjamin — Bona — Mahony (BBM) equation      97 265 401
Benjamin — Feir (modulational) instability      424 426
Benjamin — Ono (BO) equation      97
Benney      96 422
Benton      324
Berezin      351 352
Bernoulli — Euler equation      90
Bespalov      96
Bessel function      59 62
Bhatnagar      516
Bianchi theorem      389
Biharmonic equation      9 64 86
Birkhoff      309
Birkhoff theorem      418
Bjackstock      324
Blasius problem      85 328
Bleakney      23 [
Bohr — Sommerfeld rule      385
Boltzmann constant      344
Boltzmann distribution      345 518
Boltzmann nonlinear diffusion problem      312 326
Boltzmann transformation      314
Bore      238
Born — Infeld equation      107
Bound state      364—366 483
Boundary-value problem      5 59
Boussinesq      332
Boussinesq equation      9 95 108 265 333 339 341 357 533
Brauner      324
Breakers      203
Breather solution      481 482
Bright soliton      414
Brillouin      441
Britton      325
Brunt — Vaisala frequency      266
Burgers      95 284 296
Burgers equation      95 200 256 284 285 289 518
Burgers — Huxley equation      98
Burton      231
Cannonical form      10
Cannonical transformation      148
Canosa      325
CASE      324
Cauchy condition      5
Cauchy data      120 124—125 131 242
Cauchy principal value      97
Cauchy problem      5 16—17 34 39 47 50 80 88 119—120 130 131 141 157 158 178
Cauchy — Poisson problem      56 64 81 89
Cauchy — Riemann equations      387
Caustic      441
Cavali — Sforva      95 302
Characteristic base curve      117
Characteristic curves      11 117 118 224—225 340
Characteristic direction      116 136
Characteristic equation      11 117 137
Characteristic shock      253
Characteristic strip      139
Characteristic strip equations      139
Characteristic velocity      279 281 467
Characteristics      11 117 238
Charpit equations      137 139 142
Chen      96 99
Chezy formula      202
Chiu      324
Chromatographic models      204—208
Chu      96 282 421
Clairaut equation      140 141 144
Classical solution      3
Cnoidal wave      350—351
Cole      289 301
Cole — Hopf transformation      289 361
Column isodierm      205
Commutator      392
Complete elliptic integral      350
Complete integral      113
Complete solution      113
Compression wave      164 208
Conjugate variables      148
Conservation equations      172—173 319 463
Conservation laws      159 160—161 186 359 419 517
Conservation of energy      369
Conserved densities      360
Continuity equation      186 209 214 219 344
Continuous spectrum      368
Convolution      33
Convolution theorem      33—34
Cornish      216
Courant      247
Cramer      517
Crandell      383 403
Crank      316 323
Crighton      324
Cylindrical KdV equation      402
D'Alembert solution      17 35 76 244 339
Darcy law      254
Dark soliton      414 448
Davey      96 422
Davis      97 491
de Broglie wave      266
De Leonardis      482
de Vries      96 333
Debnath      52 56—57 59 64—66 81—82 86 89 96 100 233 278 280 337 350 354 409 411 413 454 474
Debye      333
Debye length      345
density      186 359
Derivative expansion method      531
Developable surface      145
Dielectric constants      439
Diffusion coefficient      25 212 310
Diffusion equation      7 25 27 39 46 51—54 61 68—69 84—85 90 284 289—290 310 312 316 319—320
diffusion length      256
Diffusion-reaction equation      302 319—320
Diffusive wave      285 288
Dipole solution      298
Dirac delta function      32—33 37 40 62
Dirichlet condition      5
Dirichlet problem      5 29 36 45 102
Discontinuous solution      165 172 178—181
dispersion relation      264 278 407 441 443—444 446 497 516
Dispersion relation dispersive wave      264
Dispersion relation for Alfven gravity wave      266
Dispersion relation for cnoidal wave      351
Dispersion relation for de Broglie wave      43 266
Dispersion relation for electromagnetic wave      266
Dispersion relation for ion-acoustic wave      346
Dispersion relation for nonlinear wave      278
Dispersion relation for solitary wave      410
Dispersion relation for string wave      516
Dispersion relation for water waves      65 265 410
Dodd      396
Drazin      379—380 384 478
Dressier      216—217 218
Dunbar      325
Dutta      350 354 409 411 474
Effective mode      418
Eigenfunctions      22 26 28
Eigenvalues      22 26 28
Eikonal equation      151 155 441
Ekman layer      85
Elastic particles      482
Elastic wave equation      110
Electrical susceptibility      439
Electromagnetic wave equation      9
Electron plasma frequency      345
Elliptic equation      12 13
Elliptic integral      350 409
Energy density      272 275
Energy flux      272 275
Engelbrecht      515
Entropy criterion      180
Envelope      129
Envelope soliton      336 413—414 526
Enz      95
Equation, associated Legendre      376
Equation, axisymmetric wave      60
Equation, Benjamin — Bona — Mahony (BBM)      97 265 401
Equation, Benjamin — Ono (BO)      97
Equation, Bernoulli — Euler      90
Equation, biharmonic      9 64 86
Equation, Bom — Infeld      107
Equation, Boussinesq      9 95 108 265 333 339 341 357 533
Equation, Burgers      95 200 256 284 285 289 502 518
Equation, Burgers — Huxley      98
Equation, Cauchy — Riemann      387
Equation, characteristic      11 117 137
Equation, Charpit      137 139 142
Equation, Clairaut      140 141 144
Equation, conservation      172 173 319 463
Equation, continuity      186 214 219 344
Equation, cylindrical KdV      402
Equation, diffusion      7 25 27 39 46 51—54 61 68—69 84—85 90 284 289 290 310 312 316 319—320
Equation, diffusion-reaction      302 319—320
Equation, dynamical      462
Equation, eikonal      151 155 441
Equation, elastic wave      110
Equation, electromagnetic wave      9
Equation, elliptic      12 13
Equation, Euler      120 257 277 282
Equation, Euler — Darboux      19
Equation, Euler — Lagrange      100—102 104 109 276
Equation, Euler — Poisson — Darboux      234 260
Equation, evolution      392 395 505 508
Equation, Fisher      95 301
Equation, Gardner      362
Equation, Gelfand — Levitan — Marchenko (GLM)      373 374 375 377
Equation, Ginzburg — Landau (GL)      98
Equation, glacier flow      211
Equation, Hamilton      103 146
Equation, Hamilton — Jacobi      145—147 274
Equation, heat      7 51
Equation, Helmholtz      8 63 71 73 80
Equation, hyperbolic      11-13 231 284
Equation, hypergeometric      232
Equation, internal wave      265
Equation, internal-inertial wave      266
Equation, Kadomtsev — Petviashvilli (KP)      99 402—403
Equation, KdV — Burgers      502
Equation, kinematic wave      94 161 186 202 465
Equation, Klein — Gordon (KG)      8 80 91 94 104 265 426 453 456 458 460 496—497
Equation, Korteweg — de Vries (KdV)      9 35 333—334 343 347 356 358 360 363 398 403 449 517 519 521 539
Equation, Lagrange      102—103
Equation, Laplace      8 36 38 45 56 59 61 65 79 90 101 387
Equation, Lax      392—393 400 403
Equation, linear partial differential      2—3 111
Equation, linear scattering      487
Equation, linear wave equation      7 21 34 242
Equation, Maxwell      344 438—439
Equation, minimal surface      102
Equation, modified KdV (mKdV)      96 354—355 361 399 403 515 517
Equation, Navier — Stokes      214
Equation, nonlinear diffusion      284 312 314 316
Equation, nonlinear diffusion-reaction      319
Equation, nonlinear partial differential      3 93 111 112 270
Equation, nonlinear Schrodinger (NLS)      96 282 396 398 402 408 410 412 415 422 424 431 436 438 447 448 451 482 525 526 533
Equation, nonlinear wave equation      94 238
Equation, Painleve      357 491
Equation, parabolic      12 284
Equation, paraxial      444
Equation, Peregrine      520
Equation, Poisson      8 70 109
Equation, Prandtl — Blasius      328
Equation, quasi-linear partial      2 111 282
Equation, Riccati      364
Equation, roll wave      216
Equation, Rossby wave      83 266
Equation, Schrodinger      9 42—44 109 266 364 371 396 401 407
Equation, shallow water      236 257 339 340
Equation, sine-Gordon (SG)      94 386 399 470—471 482 484 495 499
Equation, sinh-Gordon      399 498
Equation, telegraph      8 80 83—84 232 258
Equation, traffic flow      255
Equation, Tricomi      13 260
Equation, water wave      107
Equation, wave      3 7 16 21 34 47 55 60 62 73—77 79 94 104 110 238 242 439 493
Equation, Whitham      271—273 276 278 282 404 421
Equation, Yang — Mills      99
Estabrook      387 389 396
Euler equation      120 257 277 282
Euler — Darboux equation      19
Euler — Lagrange equation      100—102 104 109 276
Euler — Poisson — Darboux equation      234 260
Evolution equation      392 395 502 505 508
Expansive wave      163 170 179 207
Fan      194 207
Fan centered      194—195
Feir      280 418
Ferguson      418
Fermi      333 418
Fermi — Pasta — Ulam (FPU) recurrence      334 418
Fife      95 323 325
Fisher      95 301
Fisher equation      95 301
Fission      381
FitzHugh      98
Flood wave      202 203
Flux      159 186 359
Flux transport      319
Focusing instability      448
Forcing term      264
Fordy      396
Fourier method      5 21
Fourier solution      47
Fourier transform      32 44 268
Fractional derivative      52—53
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте