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                    | Friedlander S.J. (Ed), Serre D. (Ed) — Handbook of Mathematical Fluid Dynamics, Vol. 3 |  
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                    | Предметный указатель |  
                    | | Federbush, P.      165 171 185 187 222 235 235 Fefferman, CL.      164 235
 Fickett, W.      315 316 328 526
 Fields, empirical      7
 Fields, hydrodynamic      47 60
 Fields, hydrodynamical      13 15 45 51—53 61
 Finite differences (in time)      559
 Fjortoft, R.      250 305
 Fleet, T.M.      755 [51]
 Flow, Blasius      285
 Flow, Couette      285
 Flow, Poiseuille      285
 Foias, C.      221 235 657
 force      165 166 168 174 189 200 228—230
 Forward self-similar solutions      221—226
 Fourier, J.      172 235
 Fowles, G.R.      332 507 526
 Francheteau, J.      499 526
 Frazier, M.      176 178 180 181 191 203 238
 Freeman, N.C.      329 507 526
 Frehse, J.      166 238
 Freistiihler, H.      313 316 326 327 333 335 338 368 499 500 526
 Friedlander, S.      163 172 231 236 308
 Friedman, A.      339 341 527
 Friedrichs, K.O.      315 317 318 387 526
 Friedrichs-type energy estimate      387 448
 Fritz, J.      7 50
 Fujita, H.      167 171 205 208 209 215 232 235
 Function, Boltzmann H      42
 Function, Evans      345
 Function, Evans, reduced      443
 Function, Hardy — Littlewood maximal      198
 Function, Lyapunov      205 208 230 232 233
 Furioli, G.      171 202 209 211 214 217 218 235
 Gaerding inequality      448
 Galerkin method      556 610
 Galilean invariance      513 516
 Gallagher, I.      233 234 239 307
 Gallavotti, G.      74 81
 Galloping instabilities      316
 Gamblin, P.      104 107 110 113 143 755
 Gap lemma      494
 Gardner, C.S.      507 527
 Gardner, R.A.      313 316 322 335 343—347 355 357 367 417 425 443 494 524
 Gas and magnetohydrodynamics      500
 Gas dynamics      317 488 489 508
 Gasser, I.      315 370 371 527
 Gel'fand, I.M.      527 [Ge]
 Gelfand — Lions inclusions      555
 Generalized spectral decomposition      361
 Genuine, coupling      318 352 490
 Genuine, hyperbolic coupling      500
 Genuine, nonlinearity      326 500
 Geostrophic      537
 Gerard, P.      757 [4]; 755 [54]; 239 [98]
 GFD      614
 GFD-Stokes problem      614 640 645
 Ghidaglia, J.-M.      645 648 657
 Gibbs measure      71
 Gibbs states      41
 Giga, M.-H.      227 239
 Giga, Y.      192 193 195 201 202 216 222 227 239
 Gilbarg, D.      326 527
 Gill, A.E.      297 305
 Gill, A.F.      570 571 657
 Glancing      320 332 455
 Global circulation models      537
 Global equilibrium      9
 Global Maxwellian      41 58
 Godillon, P.      313 527
 Godunov, S.K.      317 486 527
 Goldstein, S.      74 50
 Golse, F.      59 60 74 79
 Goodman, J.      313 334 384 387 393 447 527
 Goodman-type weighted norm      387
 Gottwald, G.      335 525
 Goulaouic, C.      757 [10]
 Grad angular cutoff      38
 Grad, A.      4 50 57
 Grad, H.      4 38 50 57
 Gramchev, T.      171 235
 Grand-canonical ensemble      10 11
 Grand-canonical state      11
 Grassin, M.      525 [BGS]
 Gravity      542
 Green — Kubo formula      54 62—64
 Green, M.S.      54 57
 Greenspan, H.P.      297 305
 Grenier, E.      254 268—272 293 300 303 306 307 334 525
 Grisvard, P.      540 614 615 619—621 630 657
 Gronwall lemma      212 580 595 607 609 613
 Gruneisen coefficient      524
 Guenther, R.B.      188 235
 Guerra,I.      229 236
 Gues, O.      313 315 319 334 354 449 452 466 486—488 525
 Guillen-Gonzalez, F.      540 657
 Hadamard stability      328
 Haltiner, G.      541 564 657
 Haney, R.      570 571 657
 Hanges, N.      755 [55]
 Haraux, A.      227 239
 Hard potentials      38
 Hard sphere model      18
 Hard spheres      4 36 38
 Hardy      179
 Hardy spaces      179 198 234
 Hardy — Littlewood maximal function      198
 Hardy — Littlewood — Sobolev inequalities      202
 Hausdorff — Young inequality      484
 Heat conducting ideal gas      54
 Heat equation      77 226 234 625
 Heisenberg principle      185
 Henningson, D.S.      290 309
 Henry, D.      277 305 357 455 525
 Heywood, J.G      213 228 234 239
 Hilbert expansion      4 37 42 46—48 51 52 54 75 77
 Hilbert procedure      46
 Hilbert series      46 52
 Hilbert, D.      3 4 50 57
 Hille — Yosida theorem      339
 Hoelder inequality      187 195 203 582 602 606
 Hoelder spaces      93 126 176 178
 Hoelder — Zygmund spaces      176 177
 Hoermander, L.      104 755
 Hoff, D.      313 325 338 380 381 385 406 438 447 448 453 455 525
 Holm, D.D.      267 305
 Homogeneous Boltzmann equation      44 47 48 50
 Homogeneous boundary conditions      574
 Homogeneous Dirichlet boundary condition      623
 Homogeneous Neumann condition      623
 Homogeneous space      179 180 188 198 203 210 211 232
 Horn, R.A.      513 525
 Howard, P.      313 316 318 322 331 334 336 342 345—347 352 355 357—359 361 362 370 393 395 410 417 420—425 428 434 438 441 443 455 474 477 494 525
 Hu, C.      540 579 614 640 645 657
 Huang, C.      144 755
 Hughes, M.      88 7<50
 Hugoniot curve      326 335
 Humidity      537
 Humpherys, J.      313 335 336 525
 Hunt, R.      188 218 239
 Huot,R      313 525
 Hydrodynamic equations      64 74
 Hydrodynamic fields      47 60
 Hydrodynamic limit      37 38 74
 Hydrodynamic pressure      14
 Hydrodynamical equations      18 37 41 50
 Hydrodynamical fields      13 15 45 51—53 61
 Hydrodynamical limit      15—17 44 50 64 70
 Hydrodynamical limit of the Boltzmann equation      49
 Hydrodynamical moments      48
 
 | Hydrodynamical parameters      58 Hydrodynamical regime      50
 Hydrostatic approximation      545 564
 Hydrostatic equation      538 597
 Hyperbolic scaling      55 74
 Hyperbolic-parabolic smoothing      352 380
 Ianiro,N.      15 50
 Ideal fluid      46
 Ideal gas      38 41 50 54 56 524
 Iftimie, D.      107 110 113 114 159 234 239
 Ill posedness      227 234
 Illner, R.      19 34 35 37 39 80
 Incompressible Euler equations      4
 Incompressible Euler regime      56
 Incompressible fluid      614
 Incompressible limit of the Navier — Stokes equations      56
 Incompressible Navier — Stokes equations      4 58 59 60 64
 Incompressible Navier — Stokes-Fourier equations      58 62
 Inequality Cattabriga — Solonnikov      640
 Inequality Cattabriga — Solonnikov-type      649
 Inequality Cauchy — Schwarz      203
 Inequality Hardy — Littlewood — Sobolev      202
 Inequality Hausdorff — Young      484
 Inequality Holder      187 195 203 602 606
 Inequality interpolation      602 606
 Inequality Poincare      604 654
 Inequality Sobolev      213 232 234 602 606
 Inequality Young      188 192 195 202 206 218 219 612 613
 Inhomogeneous space      178 180 210 211
 Inner problem      324 441
 Instantaneous projection      381 394
 Interaction potential      15
 Interior regularity      619
 Interpolation      581
 Interpolation inequalities      602 606
 Interpolation theory      220
 Inui, K.      192 193 239
 Inviscid Burgers equation      17
 Inviscid stability transition      332 334
 Iooss, G.      307 308
 Isobar      565
 Jawerth, B.      176 178 180 181 191 203 238
 Jeffrey, A.      320 489 528
 Jenssen, K.      313 529
 Johnson, C.R.      513 528
 Jones, B.R      192 202 238
 Jones, C.K.RT.      316 344 345 355 357 367 417 425 524
 Joseph, D.D.      233 239
 Kac, M.      4 81
 Kanel, Y.      385 529
 Kapitula, T.      322 343 355 393 488 494 529
 Karch, G      163 166 171 174 227 229 231 234 236
 Kato, J.      239 [103]
 Kato, T.      757 [12]; 759 [61]; 167 171 195 201 202 204 208 209 214—216 227 232 233 238 305 344 346 425 460 494 498 529
 Katz, N.H.      163 239
 Kawanago, T.      231 239
 Kawashima class      317
 Kawashima, S.      313 317 318 352—354 372 377 383—385 447—450 452 485 529
 Kawashima-type energy estimate      389 449
 Kazhikov, A.      540 657
 KdV equations      227
 Khesin, B.A.      254 265 266 307
 Kim, H.      229 237
 Kinematic energy      539
 kinetic energy      541
 Klainerman, S.      56 81 759 228 240
 Koch, H.      179 209 210 240
 Kohn, R.      164 236
 Kontorovich, V.M.      329 507 529
 Kozlov, V.A.      540 614 657
 Kozono, H.      166 213 214 224 226 240
 Kreiss, G      313 335 529
 Kreiss, H.-O.      313 316 320 329 364 365 457 529
 Kubo, R.      15 54 81
 Kuroda, S.T.      205 238
 Lachowicz, M.      37 47 49 50 81
 Lamb, H.      305 [41]
 Landau, L.D.      228 230 240
 Lanford, O.E.      4 7 24 36 57
 Lang, S.      519 529
 Laplace — Beltrami operators      544
 Laplace — Fourier transform      334 339
 Laprise, R.      537 657
 Lateral boundary of the ocean      547
 Law of large number      36
 Laws, conservation      108 110
 Laws, Newton      4
 Lax, characteristic conditions      327
 Lax, P.D.      324 325 327 527
 Lax, shock      322 367 454 475 477 479 500
 Lax, structure theorem      325 501
 Le Jan, Y.      165 188 194 224 226 240
 Lebowitz, J.L.      51 58 74 50
 Lee, H.I.      316 530
 Lemarie-Rieusset, P.-G.      88 759 187 194 202 209 211 214 216—218 222 227 233 235
 Lemma, Bernstein's      175
 Lemma, Gronwall's      212 580 595 607 609 613
 Lemma, uniform      605
 Lemma,-"div-curl"      193
 Lemoine, J.      540 657
 Leray theorem      145
 Leray — Hopf operator      195
 Leray — Hopf projection      167 192 207
 Leray, J.      759 [66]; 163 171 211 221 247
 Lerner, N.      755 [33]
 Levermore, CD.      59 60 79
 Levinson, N.      526 [CL]
 Lichtenstein, L.      103 759
 LiefVendahl, M.      313 335 529
 Lifshitz, E.M.      228 230 240
 Lifting operator      630
 Lilly, H.      303 305
 Lin, C.C.      305 [46]; 314 530
 Lin, F.-H.      164 247
 Linear Boltzmann equation      5 64 74 77
 Linear Boltzmann operator      42 45 49 52
 Linearized Boltzmann operator      47 62
 Linearized stability      374 381 446
 Lions, J.-L.      305 [47]; 305 [48]; 538—540 548 549 551 557 559 565 570—572 602 614 643 644 647 657
 Lions, P.-L.      4 59 60 50 193 213 234 237 309
 Liouville equation      12 13 16 25—27 29 61
 Liouville measure      9 10
 Liouville operator      25 27 29 62
 Liouville theorem      39
 Littlewood — Paley      186
 Littlewood — Paley decomposition      165 174 175 178 184—186 188 234
 Littlewood — Paley theory      126
 Liu — Oleinik condition      326
 Liu, H.      313 530
 Liu, T.-P.      51 52 326 327 335 338 377 379 393 410 441 490 491 527
 Lizorkin space      210
 Local equilibrium      9 15 16 38 41 46 51 52 58 62 63 75 77
 Local equilibrium, assumption      12 13 15 38 40 50 61
 Local equilibrium, average      13
 Local equilibrium, distribution      12 13
 Local equilibrium, state      12 77
 Local Gibbs state      61
 Local Leray solution      169
 Local Maxwellian      41 52 58
 Localized instabilities      259
 Loefstrom, J.      188 219 220 235
 Lombardo, M.C.      294 307
 Lopatinski determinant      508
 Lopes Filho, M.C.      114 159
 Lord Kelvin      314 529
 LordRayleigh      249 309 537
 Lorentz      165 191
 Lorentz model      64 74 78
 Lorentz spaces      187 193 198 217 218 220 224 226 229 231
 Low density limit      70
 
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