Serre D. — Handbook of Mathematical Fluid Dynamics, Vol. 1 :: Электронная библиотека попечительского совета мехмата МГУ

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Serre D. — Handbook of Mathematical Fluid Dynamics, Vol. 1

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Название: Handbook of Mathematical Fluid Dynamics, Vol. 1

Автор: Serre D.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

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Количество страниц: 813

Добавлена в каталог: 21.05.2008

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Предметный указатель

Compressibility conditions      577
Compressible and1or heat conducting fluids      364
Compressible flows      37
Compressible fluids      318 361 423
Compressible Navier — Stokes equations      20 31 32 319 357
Compressible scaling      25
Compressible viscous fluid      311
Concentration      53
Concentration gradient      3
confinement      88 195—196
Conley, C.      534 [71]
Conservation equations      30
Conservation form      30
Conservation laws      103
Constantin, P.      534 [73]
Constants,       614
Constants,       610
Constants,       611 613
Constants, $M_{i}$       610
Constants, $M_{\infty}$       579 614
Constants, $q_{\infty}$       611
Constants, $\gamma$       576
Constants, $\hat{\rho}$ , $\hat{p}$ , $\hat{\rho}_{\infty}$ , $\hat{p}_{\infty}$ , $\hat{u}_{i}$ , $\hat{u}_{\infty}$       556
Constants, $\omega_{\infty}$       614
Constants, a      579 615
Constants, b      583 601
Constants, M      579 610
Constants, q      611
Constants, R      579 611
Constants, vectors, h      610
Constants, vectors, M      610
Constitutive relations      309
Contact discontinuities      448
Contact discontinuity in magnetohydrodynamics      608
Contact strong discontinuity in gas dynamics      576
Continuity equation      27 38
Continuum      43
Continuum equations      28 29
Continuum gas dynamics      13
continuum limit      25 26 30 54
Continuum mechanics      15 37 61
Continuum model      3 61
Continuum regime      31
Contracting metrics      201 249—254 258
Convection      31
Convexity      126
Conway, E.      534 [74]
Coquel, F.      524 534
Cordier, S.      93 115 257 292
Corli, A.      389 415
Coron, F.      135 293
Correlation function      274
Corrugation stability of a strong discontinuity      597
Coscia, V.      662 787
Couette flow      37
Coulomb interaction      83 90 114 184 266 267
Coulomb logarithm      121
Courant, R.      432 446 517 534 552 649
Cover, T.      107 108 207 255 260 286 293
Cowling, T.      24 32 65 113 280—282 286 293
Cox, R.G.      655 755
Cramer — Rao inequality      255
Crandall, M.G.      432 534
Crasta, G.      478 532
Cross-section      47 58 59 62 81 82
Cross-section, for momentum transfer      120 167
Csiszar — Kullback — Pinsker inequality      204
Curtiss, C.F      32 48 66
Cut-off (Grad's angular)      84 120 124 138 153—164
D'yakov, S.P.      548 578 580 582 584—586 597 649
Dacorogna, B.      534 [79]
Dafermos, C.M.      332 367 389—391 399 406 414 415 441 442 446 453 461 463 467 468 472 478 479 481—484 488 513 529 531 533
Dahler, J.S.      48 65
Dahler, N.F.      48 65
Damping      442
Danchin, R.      318 319 321 367
Daneri, A.      39 42 64
Darboux, G.      535 [92]
Darrozes, J.S.      25 35 65
Dautray, R.      86 293
De Boer, J.      135 305
de Groo, S.      86 294
de Masi, A.      27 28 66 135 292
de Saint Vcnant, B.      v vii
Debye length      91 114 121 180
Debye potential      84 90 114 179 180
Decay      463 479 505
Deckelnick, K.      363 367
Decoster, A.      89 94 286 294
Defect measure      326 327 333 341
Deflection angle      58
Degond, P.      86 93 115 121 135 180 266 268 281 290
Degrees of freedom      10
Dekroix, J.      84 89 93 121 294
del Pino, M.      198 233 294
Delocalized collisions      89
Delta function      25 44
Delta wing      62
Dembo, A.      107 207 255 294
Demutskij, V.P.      641 643 645 646 651
Dense gas      30
density      3 5 10 13 16 19 20 27 31 34 37 41
Density parameter      31
Deschambault, R.L.      518 519 535
Deshpande, M.V.      618 619 626 646 651
Deshpande, S.M.      59 66
Desjardins, B.      348 359 365 366 367 788
Desvilleltes, L.      84 86 99 110 114 115 118 122 124 129 133 137 138.
Detonation wave      529
Di Blasio, G.      133 295
Di Meo, M      135 295
Diaconis, P.      270 295
Diatomic gases      43 48
Diatomic oxygen      53
Differentiation of Boltzmann's operator      125
Diffuse reflection      60
Diffusion      31
Diffusion coefficient      53 58
Diffusive models      86 199
Ding, X.      381 385 418 499 502 504 505 521 531 535
DiPerna — Lions' theorem      137—139 154 160 163
DiPerna, R.      90 137 138 144 154 159 160 164 176 287 295 327 332 333 368 385 415 464 467 468 472 481 484 487 497 505 509 512 535
Direct Simulation Monte Carlo (DSMC)      48 57 58 60—62
Discontinuous solutions      443 446 458 479 488 513
Discrete ordinate methods      61
Discrete velocities      87 139
Discrete velocity models      58
Discrete vibrational levels      50
dispersion      110
Displacement convexity      230
Dissipation      28
Dissipative boundary conditions      573
Dissipative solutions      138 164
Dissociating molecule      54
Dissociation      54
Dissociation energy      54
Dissociation-recombination reaction      54
Distribution function      5 6 10 18 22 34 43 47 52 53 61 77—78
DIT (dissipative integrals techniques)      574
Divergence formulation      116
Dogra, V.K.      62 65
Dolbeault, J.      86 197 198 233 237 282 285 291
Dorovsky, V.N.      555 569 645
Drag      22 34 39 42
Druzhinin, I.Yu.      569 613 615 619 626 628 629 636 637 641—644 645
Du, Y.      277 295
Dual estimates      155—156
Dudyriski, M.      86 295
Dufty, J.      278 292
Duhamel formula      157—159

Dukes, P.      83 88 297
Dunn, J.E.      378—380 415
Durr, S.      660 755
Dust      3
Duvaut, G.      244 295
E, W.      521 535
Ebin, D.B.      312 365
Eden, A.      391 419
effective mass      661 679
Effective viscous flux      318 330 338
Egorushkin, S.A.      572 619 625 647 649
Ehrenfest, R      105 106 287 295
Ehrenfest, T.      105 106 287 295
Ekiel-Jezewska, M.L.      86 295
Elastic collisions      48—50 79
Elastic cross-section      62
Elasticity      512
Electric power plants      3
Electronic states      56
Electrons      53
Elementary mechanics      4
Ellipsoidal statistical (ES) model      20
Ellis, R.S.      135 295
Elmroth, T.      133 147—149 295
Emanuel, G.      52 66
Embid, P.      515 535
Emery, M.      207 222 231 232 289
Emission coefficient      57
Emission of radiation      57
Empirical measure      78 97
Endothermic reaction      54
Energy      15 18 19 34 53 60 310 316 317 328 329 334—336 340 344 346 349 353 357 363
Energy balance      46 54
Energy conservation      30 43—45 55 60
Energy density      14
energy equation      38
Energy flow      14 15 25
Energy integral      573
energy release      54
Energy states      54
Energy transfer      50
Engelberg, S.      442 535
England, J.      107 300
Engquist, B.      535 [111]; 535 [112]
Enskog equation      89
Enskog equation, for granular media      273—274
Enskog, D.      25 31 66
entropy      18 25 97 104—109 130 191
Entropy dissipation      104 126 130 146 154 160 164 167 170—172 178 183 191—244
Entropy dissipation methods      203—244
Entropy dissipation, for Kac's master equation      271
Entropy inequality      426
Entropy power      207
Entropy rate criteria      389
Entropy solution      444 479 486 488 489
Entropy, for quantum models      283—284
Entropy-entropy dissipation inequality      205
Entropy-entropy dissipation inequality, Boltzmann equation      210—223
Entropy-entropy dissipation inequality, Fokker — Planck equation      206—207
Entropy-entropy dissipation inequality, Kac's master equation      271—272
Entropy-entropy dissipation inequality, Landau equation      208—210
Entropy-entropy flux pair      426 489
Environmental problems      3
Erdos, L.      86 281 293
Ernsi, M.H.      101 295
Erpenbeck, J.J.      529 535 578 580 584 585 602 649
Erwin, D.A.      61 65
Escobedo, M.      86 118 123 279 281 282 284 295
Esposito, R.      27 28 66 206 235 276 289
Esteban, M.      655 755
Eternal solutions      117 251
Euler equations      3 25—28 30—32 37 112 423 521
Euler — Poisson equations      442 517
Euler, L.      v vii
Evans, L.C.      332 365 535
Evolutionarity condition      558
Evolutionary strong discontinuity      558
Excited levels      56
Exothermic reaction      54
Explicit solutions      101 134
Fan, H.-T.      382 383 385 386 389—392 415
Fast and slow magnetosonic velocities      609
Fast magnetohydrodynamical shock wave      610
Feireisl, E.      327 333 335 337 339 340 342—344 346 347 349 351 352 354—357 361 365
Felderhof, B.U.      379 418 755
Feldman, M.      521 533
Feldstein, A.      689 790
Feng, J.      656 662 663 750 758 759
Fermi — Dirac distribution      283
fermions      280
Ferziger, J.H.      32 66
Fickett, W.      529 535
Filbet, F.      115 292
Filippov, A.F.      479 535
Filippova, O.L.      619 626 646 649
Finite energy weak solution      334 335 336 339 340 343 344 346—348 349 350 351 354 356 358 360
Finite ordinate schemes      39
Finite — Pointset method      60
Finn, R.      704 755
Firsov, A.N.      135 300
Fisher information      193 207 222 253—258
Fisher, R.      254 296
Flow domain      60
Flow field      57 58 62
Flow past a body      27 34
Flow past a cylinder      62
Fluctuations      60 61
Fluorescence      57
Flying vehicle      3
Fog      3
Foias, C.      356 365
Fok, S.K.      515 536
Fokker — Planck equation      20 86 94 196 197 202 237
Ford, G.W.      78 286 304
Fortes, A.      656 755
Fougeres, P.      107 207 232 286 255
Fourier transform      128—130 171—173 175 247 251—253
Fourier — Laplace transforms, $\tilde{F}$       565
Fourier — Laplace transforms, $\tilde{U}$       565
Fournier, N.      177 178 187 296
Fowles, G.R.      602 649
Frame-invariance      671
Francheteau, J.      424 536
Free energy      193 197
Free fall      672
Free fall, Navier-Stokes liquid      674
Free fall, second-order liquid      737
Free fall, steady      673
Free fall, steady, Navier — Stokes, asymptotic behavior      704 716
Free fall, steady, Navier — Stokes, existence      697
Free fall, steady, second-order liquid at non-zero Reynolds number      749
Free fall, steady, second-order liquid at zero Reynolds number      738
Free fall, steady, second-order liquid, existence      743
Free fall, steady, second-order liquid, symmetric      745
Free fall, steady, Stokes approximation      676
Free fall, steady, weak solutions      700
Free fall, Stokes approximation      675
Free fall, translational steady, Navier — Stokes liquid      717
Free fall, unsteady, Navier — Stokes      736
Free fall, unsteady, Stokes approximation      681
Free transport      79
Free-molecular conditions      37
Free-molecular flow      31
Free-molecule flow      33
Free-molecule regime      4
Freeman, N.C.      548 649
Freistuhler, H.      559 560 649
Frezzotti, A.      57 63 65
Frid, H.      456 458 468 484 486 487 505 507 509 510 512 513 517 525 526 529 533
Fridlender, O.G.      32 37 67

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