Friedlander S.J. (Ed), Serre D. (Ed) — Handbook of Mathematical Fluid Dynamics, Vol. 3 :: Электронная библиотека попечительского совета мехмата МГУ

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Friedlander S.J. (Ed), Serre D. (Ed) — Handbook of Mathematical Fluid Dynamics, Vol. 3

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Название: Handbook of Mathematical Fluid Dynamics, Vol. 3

Авторы: Friedlander S.J. (Ed), Serre D. (Ed)

Аннотация:

This is the fourth volume in a series of survey articles covering many aspects of mathematical fluid dynamics, a vital source of open mathematical problems and exciting physics.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 680

Добавлена в каталог: 19.05.2008

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

Предметный указатель

Low density scaling      64
Low Mach number      4 56 61 63 64
Low, B.C.      338 526
Lyapunov function      205 208 230 232 233 265
Lyng, G.      313 315—317 321—323 336 529
Mach number      56 515
Maclntyre, M.      88 158
Magenes, E.      614 647 657
Magnetohydrodynamics (MHD)      317 489 491
Mahalov, A.      307 [3]
Majda theorem      332
Majda, A.J.      56 81 157 235 320 321 325 328—332 364 449 452 501 507 508 523 530
Malek, J.      166 222 238
Marchesin, D.      327 335 524
Marchioro, C.      7 80 759 267 309
Marcinkiewicz interpolation      202
Marcinkiewicz theorem      85
Margolin, L.G      537 658
Markovian kernel      225
Marra, R.      50 51 62—64 80
Marsden, J.E.      267 305
Mascia, C.      313 316 319 321—323 335 340—342 345—350 352—355 357—360 370 374—377 379—385 390 393 398 400—402 404 405 407 409 411 413 415 417 422—425 499 530
Masmoudi, N.      59 60 57 234 241 305 657
Mass map      338 368
Mass, conservation equation      611
Matsui, S.      192 193 239
Matsumura, A.      313 335 385 529
Maximum principle      222
Maxwell, J.C.      24 50 82
Maxwellian      41 42 45—47 49 50 57 59
May, R.      191 216 241
Mazya, V.G      540 614 657
Mazzucato, A.L.      171 241
McGrath, F.      156 759
Mean free path      22 35 38 40 44 74
Meleard, S.      37 82
Menikoff, R.      324 326 327 331 332 335 489 537
Metivier theorem      332 338 499
Metivier, G.      313 315 316 319—321 329 332 334 343 344 354 364 366 449 452 457 462 464 466 472 486—488 499—501 504 507 526
Meyer, Y.      88 142 757 175 179 185—187 191—195 197 198 204 210 216—218 220 223 224 226 227 231 233 234 236
microcanonical ensemble      9
Miirmann, M.G      15 16 52
Mikelic, A.      296 307
Mild equation      172
Mild forward self-similar solutions      223
Mild solution      169 170 172 191 194 196 197 199 204 205 208—210 214—216 223—225 231—233
Mild solutions      168—171 191 192 208 209 214—217 224 227 231
Miller, J.R.      222 242
Miyakawa, T.      172 195 222 234 239
Moise, I.      658 [26]; 658 [27]
Monniaux, S.      234 242
Montgomery-Smith, S.      210 213 242
Morrey — Campanato      191
Morrey — Campanato spaces      187 188 222
Morrey, C.B.      4 15 52
Moser inequality      449 452
Munch, A.      316 525
Munk, W.H.      309 [52]
Navier — Stokes equations      4 51 52 54 61 163—166 169—173 177 178 182 185 187 189—193 195—197 200—202 205 208—211 214—216 220—227 229—235 488 489 538 561
Navier — Stokes — Fourier equations      54
Navier, C.L.M.H.      172 242
Near equilibrium regime      48
Necas, J.      221 222 247
Neumann — Robin boundary value problem      629
Newton equations      5
Newton laws      4
Nicolaenko, B.      4 51 79
Nirenberg, L.      164 236 657
Nishida, T.      4 50 52 537
Nishihara, K.      313 335 529
No-slip boundary conditions      548
Nonequilibrium distribution      13 63
Nonequilibrium effects      51
Nongradient method      62
Nonhydrostatic models      538
Nonlinear stability      375 393 446 450
Nonsmooth domains      540
Nonuniqueness      163
Normal modes      404 455
Nouri, A.      37 79
Number, Burgers      597
Number, Mach      56 515
Number, Mach, low      56
Number, Reynolds      205 230 232 233
Number, Reynolds, critical      286—288 297 301 306
Number, Rossby      597
Nussbaum, R.      253 309
Nussenzveig Lopes, H.J.      114 759
O'Leary, M.      222 242
Ocean      539 545
Ocean Global Circulation Models      537
Oelschlager, K.      15 52
Oh, M.      313 537
Okamoto, H.      205 227 235
Oleinik, O.      292 309
Oliver, M.      305 [43]; 305 [44]
Olla, S.      16 17 62 52
One-dimensional stability criterion      335
Operator, Boltzmann linear      42 45 49 52
Operator, Boltzmann linearized      47 62
Operator, Laplace — Beltrami      544
Operator, Leray — Hopf      195
Operator, lifting      630
Operator, Liouville      25 27 29 62
Operator, pseudo-differential      167 198
Orbital stability      374
Orenga, P.      538 658
Orr-Sommerfeld equation      275 277 278 286
Oru, F.      171 177 193 198 217 239
Orum,C.      188 235
oscillations      228
Oscillatory behavior      165 168 171 185 186 193 202 203 205 207 209 230 233 234
Osher, S.      530 [MO]
Ossiander, M.      188 235
Overcompressive shock      322 333 367 454 475 477 479
Papanicolaou, G.      50 50
Parabolic scaling      4 56 61 62 64 75
Paradiflferential calculus      88 122 131
Paraproduct      165 184 185 234
Paraproduct algorithm      183
Paraproduct rule      183
Parkinson, CL.      541 544 658
Pavlovic, N.      163 238
Pazy, A.      339 341 342 531
Pecher, H.      171 242
Pedlosky, J.      297 309 545 658
Peetre, J.      178—182 203 242
Pego, R.L.      316 321 324—326 367 530
Pellegrinotti, S.      15 80
Perfect gases      46
Persistence result      208—211
Pes      567
PEs of the ocean      549 559
Petcu, M.      540 597 598 658
Phase-transitional shock profile      324
Phillips, R.S.      530 [LaP.1]; 530 [LaP.2]
Piecewise linear profiles      272
Piriou, A.      364 365 526
Pittman, E.B.      338 527
Planar viscous shock waves      315
Planchon, F.      88 142 157 174 188 194 195 198 200 202—204 209 213 218 223—225 227 233 234 237
Plaza, R.      313 335 336 338 499 531
Plohr, B.      324 326 327 331 332 335 489 524
Pointwise Green distribution bounds      377 425
Poiseuille flow      275
Pokorny, M.      222 247
Ponce, G.      759 [61]; 201 202 231 239
Porous medium      227
Prandtl boundary layers      297
Prandtl equations      290 291 296

Pressure      11 46 56 542
Presutti, E.      15 80
Primitive equations      537 538 541 545 563 574
Problem, GFD-Stokes      614 640 645
Problem, inner      324 441
Problem, regional      566
Problem, Stokes      614 645 650 651
Prognostic variables      541 546 567 597 599
Propagation of chaos      21 23 33
Pseudo-differential operator      167 198
Pseudo-geometrical domain      565 570
Pseudo-measure      225 226 229
Pseudo-measure space      188 191
Pseudo-self-similar solutions      222
Pulvirenti, M.      7 19 34 35 37 39 74 80 267 309
Qiu, Q.-J.      7<50 [90]
Quasi-geostrophic models      537 538
Quastel, J.      64 82
Racke, R.      231 242
Rankine — Hugoniot conditions      324 513
Ratiu, T.S.      267 308
Rayleigh criterium      249 265
Rayleigh equation      247 249 250 278 286
Real interpolation      188
Reduced Evans function      443
Reduced phase space      358
Reduction lemma      347 495
Regional problems      566
Reid, W.H.      250 253 267 272 282 307 526
Relative entropy      16 60
Rescaled Boltzmann equation      45 50
Rescaled Liouville operator      61
Resolvent kernel      354
Resolvent kernel, formula      359 361 418
Reynolds      230
Reynolds number      205 230—233 275 295 296 597
Rezakhanlou, F.      17 82
Ribaud, F.      171 242
Ricci, V.      74 80
Richtmyer, R.D.      328 329 507 532
Riesz transforms      167 173 174
Rigid lid assumption      547
Riviere, N.M.      192 202 238
Robert, R.      296 307
Roberts, A.E.      329 507 532
Roberts, K.      88 160
Robin boundary conditions      614
Rodnianski, I.      142 759
Rodriguez-Bellido, M.A.      540 657
Rosen, G.      221 243
Rossby number      597
Rossmann, J.      540 614 657
Rousset, F.      313 330—332 334 525
Rubin, J.      529 [KR]
Ruelle, D.      9 52
Ruggeri, T.      525 [BoR]
Runts, T.      142 759
Ruzicka, M.      221 222 242
Saint-Raymond, L.      59 60 57
Saint-Raymond, X.      143 755
Sait6,N.      15 52
Sakamoto, R.      329 532
Salinity      541
Sammartino, M.      268 292 294 307
Sandstede, B.      322 343 488 494 529
Sattinger, D.      336 347 532
Sawada, O.      239 [105]; 243 [204]
Scaling invariance      51 54
Scattering coefficients      440
Scheffer, V.      243 [205]
Schlichting, H.      309 [59]; 548 658
Schmid, P.J.      290 309
Schochet, S.      309 [61]
Schonbek, M.E.      222 234 237
Schrodinger equation      201 227
Secchi, P.      231 244
Self-similar      228 229
Self-similar solution      226 227
Self-similar solutions      165 185 196 205 215 220 222 224 226 227
Self-similarity      234
Semigroup      167 168 170 172 181 193 199 210 226
Semmes, S.      193 237
Seregin, G.      213 235
Serfati, P.      104 144 759 243
Serre, D.      114 759 316 323 329—332 334 338 364 365 367 368 370—372 441 444 477 486 508—510 519 523 525
Serrin, J.      213 243 309
Shallow water equations      538
Shear layers      247 267
Shearer, M.      316 525
Shibata, Y.      231 243
Shinbrot, M.      163 164 243
Shizuta, Y.      352 353 372 485 529
Shnirelman, A.      267 308
Short range potential      22
Sickel, W.      142 759
Sideris, T.C.      107 110 113 759 242
Simonnet, E.      658 [26]
Simple Exclusion Process      17 62
Sinai billiard      5 79
Sinai, Ya.G      5 74 78 79 50
Singular solution      226 228—230
Singularity      221 226 228 229 234
Slemrod, M.      324 532
Smagorinsky, J.      543 655
Smale, S.      163 243
Smolarkiewicz, P.K.      537 658
Smoller, J.      324 325 327 514 526
Sobolev embedding      180 191 199 201 202 222 452 557
Sobolev inequalities      213 232 234 602 606
Sobolev space      165 169 176 179 188 191 201 208 210 211 222 232 541
Sobolev — Bessel spaces      176 178 198
Soft potentials      38
Sohr, H.      213 214 240
Solution, hydrodynamical      48 51
Solution, layer type boundary      268
Solution, self-similar      165 185 196 205 215 220 222 224 226 227
Solution, self-similar, forward      221—226
Solution, singular      226—230
Solution, stable      227
Solution, stationary      228 229
Solution, turbulent      170
Sone, Y.      56 82
Sound speed      511 517
Space, $BMO^{-1$ }      179 181
Space, $\overset{\cdot}{B}^{-1, \infty}_{\infty}$       181 190 191
Space, Besov      130 165 177 178 180—183 185 186 188 190 196 197 201—205 209—211 217 218 220 222—224 226 234
Space, BMO      179 181 213
Space, critical      190 191 194 208—210 214 215 222 223 226
Space, Hardy      179 198 234
Space, Hoelder      93 126 176 178
Space, Hoelder — Zygmund      176 177
Space, homogeneous      179 180 188 198 203 210 211 232
Space, inhomogeneous      178 180 210 211
Space, Lebesgue      176 179 187 191—193 195 198 201 208—211 214 232
Space, Lizorkin      210
Space, Lorentz      187 218 220 224
Space, Morrey — Campanato      187 188 222
Space, reduced phase      358
Space, Sobolev      165 169 176 179 188 191 201 208 210 211 222 232 541
Space, Sobolev — Bessel      176 178 198
Space, subcritical      191 192 227 231 233
Space, supercritical      191—193 208 214 222 232 233
Space, Triebel — Lizorkin      178 180—182 186 198 191 202 210
Specific heat      62
Spectral decomposition      406
Spectral resolution      340
Spectral-radius      253 256 260
Spectrum      339 455
Spinning instabilities      316
Spohn, H.      74 82

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