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| Serre D. — Handbook of Mathematical Fluid Dynamics, Vol. 1 |
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| Предметный указатель |
Optical fibers 3
Orientation of a symmetric bodies, second-order liquid 756
Orientation of prolate spheroids, Navier — Stokes liquid 735
Orientation of prolate spheroids, second-order liquid at non-zero Reynolds number 758
Orientation of prolate spheroids, second-order liquid at zero Reynolds number 748
Orientation of symmetric bodies, Navier — Stokes liquid 733
Ornstein — Uhlenbeck 214 218 219
Osher, S. 521 531 565 566 651
Osteen, R.M. 57 69
Otto's Riemannian structure 229
Otto, F. 194 198 204 207 229—233 301
Otto, S.R. 659 757
Outgassing 22
Over-Maxwellian collision kernel 208 215
Overcompressive strong discontinuity 559
Ovsyannikov, L.V. 555 576 651
Oxygen 43
Padula, M. 355 363 370
Paes-Leme, P. 559 651
Pagani, C.D. 39 42 65
Palczewski, A. 87 136 164 290
Panferov, V. 277 296
Pao, Y.P. 135 302
Papanicolaou, G.C. 287 295
Parallel magnetohydrodynamical shocks 612
Pareschi, L. 115 129 130 302
Parity operator 39
Park, N.A. 656 661 749 757
Particle orientation 655
Particle sedimentation 671
Pedlosky, J. 540 [252]
Pedregal, P. 327 370
Pego, R. 389 391 419
Pence, T.J. 390 420
Peng, Y.-J. 138 295 488 540
Penland, C. 62 66
Perfect gas 18 26 27 30 31
Periodic solutions 464
Periodicity boundary conditions 27
Perlat, J.P. 20 52 63
Perthame, B.T. 20 52 63 90 94 109 110 115 132 136—138 144 145 162 286 293 442 497 505 524 534
Perturbation methods 57
Perturbations of equilibria 36
Perturbative regime 134—136 147
Pettyjohn, E.S. 657 790
Petzeltova, H. 337 340 343 344 346 347 349 351 354 355 361 365
Pfaffelmoser, K. 90 302
Pham-Van-Diep, G.C. 61 65
Phase space 5 10 14
Phenomenological derivation 115
Philips, P.S. 593 651
Photon emission 57
photons 53 56 57 86 280 281
Physical values,  609
Physical values,  609
Physical values,  599
Physical values,  607
Physical values,  575 598 607
Physical values,  598
Physical values,  575 598 607
Physical values, c 575 599 608
Physical values, E 575 598 607
Physical values, p 575 598 607
Physical values, S 575 598 607
Physical values, T 575 598 607
Physical values, V 575 598 607
Physical values, vectors H 607
Physical values, vectors v 575 598 607
Piccoli, B. 478 479 531
Pileckas, K. 662 790
Pinsky, M.A. 135 295 540
Piriou, A. 565 572 649
Pitaevskii, L.P. 78 90 93 299
Pitted, M. 110 302
Planck distribution 57 284
Plasmas 89—94
Platkowski, T. 87 88 302
Plohr, B.J. 515 517 534 650
Poincare's lemma 270
Poincare's recurrence theorem 105
Point masses 6 9 46
Poisson, S.D. v vii
Pokorny, M. 662 663 750 755—758 759
Poletto, M. 656 790
Polewczak, J. 136 302
Pollen 3
Polovin, R.V. 559 618 641 643 645 646 647
Polyatomic gas 10 20 43 44 46 48 50 52 54 57 62
Polyatomic molecules 5 47 52 58
Polytropic gas 423 576
Porous medium 198
potential energy 54 55
potential flow 61
Potential-like solutions 769
Poupaud, F. 86 297 463 521 540
Povzner equation 88
Povzner inequalities 148
Povzner inequalities, reverse 150
Povzner, A.J. 88 132 133 147 148 302
Power-law potentials 10
Pozio, A. 178 255
Prandtl number 20
Prangsma, G.J. 52 65
Pre-postcollisional change of variables 126
Pressure 5 7 16 20 30 37
Pressure gradient 3
Presutti, E. 88 292
Price, J.M. 62 65
probability density 5—8 10 14 22 23 44 47
probability distribution 59
Probstein, R.F. 61 65
Prokopov, G.P. 594 650
Propagation of smoothness 124 137 138 146—147 157 159 160
Propelling boundary conditions 780
Proutiere, A. 175 302
Pseudo-differential operators 165 175
Pulvirenti, A. 133 157 186 187 250 302
Pulvirenti, M. 9 18 24 60 65 82 84 88 89 96—100 103 105 107 109 114 132—134 136 143 194 195 228 233—235 273 276—279 286 259
Qin, Y. 357 377
Quantum Boltzmann equation 86
Quantum kinetic theory 279—285
quantum mechanics 10 46 47 54
Quastel, J. 113 303
Rabier, P. 701 790
Radiation 3 53 56 57
Radiation frequency 57
Radiative transfer 56
Radioactivity 3
Radon transform 156—157
Rajagopal, K.R. 309 313 371 789
Ralston, F.V. 549 565 651
Rammaha, M.A. 442 540
Rankine — Hugoniot conditions 576
Rankine — Hugoniot conditions, see aso jump conditions 555
Rarefaction curves 447
Rarefaction waves 457 508
Rascle, M. 451 463 468 505 510 521 526 533
Rate coefficients 53
Rauch, J. 549 565 566 570 657
Rault, D.F.G. 61 62 68
Raviart, P.-A. 428 536
Rayleigh waves 571
Re-entry calculations 62
Reactants 53
Reacting collision 10
Reaction cross-section 53 54
Reaction model 54
Reaction rates 56
Reactive collision 46
Reactive cross-section 62
| Reciprocity 23 24 40 49
Recombination process 54
Recombination reaction 54
Reddy, B.D. 655 789
Reduced mass 43
Redwane, H. 138 176 291
Reflection 57
Regularity of the gain operator 156—157 171 201 226
Regularization 123 138 146—147 165 170—175 177—180 183
Reichelman, D. 62 68
Rein, G. 110 298
Relative speed 10 55 58
Relative velocity 5 9
Relativistic Boltzmann equation 86
Relativistic gas dynamics 597
Relativistic Rankine — Hugoniot conditions 599
Relativistic shock wave 599
Relaxation 521
Relaxation time 48 50
Rendall, A.D. 442 547
Renormalization 137 159—160 175—176
Renormalized 323
Renormalized formulation 182
Renormalized solution 137—139 145—147 159—160 163—164 178—180 321—324 326 328 331 335 340 341
Rescaled convolution 247
Resonance 426
Reynolds number 61 675
Rhee, H.K. 526 547
Rickwood, D. 655 789
Riemann invariants 433
Riemann problem 380 385 446 447
Riemann semigroup 478
Riemann solutions 483
Riemann, B. v vii
Ringeisen, E. 132 303
Ringhofer, C.A. 539 [228]
Risebro, N.H. 472 547
Risken, H. 198 241 303
Rivlin, R.S. 364 368
Rjasanow, S. 115 291
Robbin, J.W. 536 [121]
Roberto, C. 107 207 232 286 288
Roco, M.C. 656 791
Rogers, R.C. 529 540
Rokhlenko, A. 206 292
Rokyta, M. 313 320 369
Romano, V. 553 554 569 649
Romanovskii, Y.R. 135 300
Rosales, R. 519 536 647 657
Rostoker collision operator 94
Rotational cross-section 62
Rotational discontinuity in magnetohydrodynamics 608
Rotational energy 48
Rough sphere model 48
Rousset, R. 571 582 647
Roussinov, V. 62 69
Roytburd, V. 420 [65]; 529 532
Rozhdestvenskii, B.L. 549 555 559 560 577 609 657
Rubin, S.G. 61 65
Rudman, S. 61 65
Rugged, Y. 540 [236]
Ruggeri, T. 553 555 651
Russo, G. 115 129 302 597 602 619 626 647
Rutherford's formula 83 266
Ruzicka, M. 313 320 369
Rykov, Y. 521 535
Sable-Tougeron, M. 389 475 647 651
Saint-Raymond, L. 138 144 145 206 266 297
Saloff-Coste, L. 270 295
Salvarani, R. 115 294
Sandler, S.I. 48 65
Santos, A. 278 292
Sather, N.R 48 65
Sauer, N. 655 759
Scaled Boltzmann equation 28
Scalings 25 26
Scattering amplitude 47
Scattering event 57
Scattering formulas (Maxwell's) 82
Scattering kernel 23 24
Scattering law 58
Scattering probability 57
Schaeffer, D.G. 547 [267]; 547 [268]; 559 657
Schaeffer, J. 90 303
Schamel, H. 94 305
Schauder, J. v vii
Scheffer, G. 107 207 232 286 255
Schippers, S. 24 63
Schmeiser, C. 86 302
Schmidt, B. 61 65
Schneider, J. 87 307
Schochet, S. 463 541
Schulz-Rinne, C.W. 518 547
Schwartz, L. 541 [271]
Screening (Debye) 90 180
Second-order liquid 670
Sedimentation 656
Sedov, L.I. 657 [112]
Self-propelled bodies 658 761
Self-propelled motion 761
Self-propelled motion, steady, attainability 773 785
Self-propelled motion, steady, Navier — Stokes 775
Self-propelled motion, steady, Stokes approximation 763
Self-propelled motion, steady, symmetric bodies 767 784
Self-propelled motion, steady, weak solution 776
Self-propelled motion, unsteady, Navier — Stokes 785
Self-propelled motion, unsteady, Stokes approximation 773
Self-similar solutions 101 117
Sell, G.R. 352 370
Semi-classical limit 282
Semmes, S. 534 [72]
Senftleben — Beenakker effects 49
Sentis, R. 137 144 297
Separated flows 62
Sequeira, A. 662 760 759
Seregin, G.A. 655 759
Serre, D. 340 361 367 369 391 419 446 453 461 463 519 526 529 536 571 582 647 647 661 662 696 697 700 701 737 791
Serrin, J. 313 370 382 417
Shannon — Stam inequality 108 217 255
Shannon — Stam inequality, for Boltzmann's operator 255—256
Shannon's entropy 107
Shapere, A. 659 797
Shapiro, A.H. 313 370
Shapiro, M. 278 297
Sharp, D. 517 536
Shear stress 38
Shearer, J. 512 547
Shearer, M. 382 383 385 386 420 657
Shelukhin, V.V. 361 370
Shen, W. 526 541
Sheng, W.-C. 521 541
Sherman, F.S. 24 66
Shibata, Y. 363 369 696 704 755
Shinbrot, M. 136 162 298
Shizuta, Y. 135 201 303
Shkarofsky, I. 121 303
Shock capturing scheme 515
Shock curves 447 454
Shock front solutions 443
Shock layers 37
Shock profile 61
Shock wave 4 37 61 135 425
Shock wave structure 61
Shorenstein, M. 61 68
Shu, C.-W. 387 390 420
Shuttle Orbiter 62
Sideris, T.C. 436 439—442 541
Siegel, R. 57 65
Silhavy, J. 364 370
Silhavy, M. 313 364 370
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