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| Serre D. — Handbook of Mathematical Fluid Dynamics, Vol. 1 |
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| Предметный указатель |
Kuseer 1 22—24 49 50 67
Ladyzhenskaja, O.A. 650 [82]
Laminar regime 62
Landau approximation 114 167 180—184
Landau equation 91—94 105 114 121—123 151 178 180—184 256—257 267
Landau length 91 180
Landau operator 180
Landau, L. 91 116 299 558 574 576—578 597 606 608 609 613 634 640 643 644 650
Landirn, C. 287 298
Lanford's theorem 96 107 136 266
Lanford, O., III 9 19 67] 287 299
Lankaster, P. 650 [86]
Larnpis, M.C. 23 24 34 47 51 52 60 65 293
Larsen — Borgnakke model 50 51
Larsen, P.S. 50 64[27]
Law of interaction 9
Lax discontinuities 561
Lax entropy conditions 560 see
Lax shock 560 see
Lax — Friedrichs scheme 497
Lax's theorem 448
Lax, P. 432 433 436 438 441 448 464 467 481 483 497 518 536 553 560 593 650
LC (Lopatinski condition) 567
Le Tallec, P. 20 52 63
Leading edge 61
Leal, L.G. 655—658 749 759 790
Lebowitz, J.L. 20 27 28 66 105 135 206 286 292
Ledoux, M. 222 261 299
Lee, C.-H. 391 392 419
Lee, H.I. 529 535
Lee, S.C. 655 790
LeFloeh, P. 388 389 417 478 479 491 497 505 521 531
Legge, H. 62 67
Lemoine, J. 662 757
Lemou, M. 93 115 135 268 282 292
Lentati, A. 24 65
Leray, J. v vii 299
Lessen, M. 618 619 626 646 657
LeVeque, R.J. 428 538
Levermore, C.D. 138 266 282 284 290 524—527 529 531
Levermore, D. 112 138 266 290
Lewicka, M. 478 479 532
Lewis, J.H. 61 66
Li, D. 391 419 446 537
Li, H. 277 295
Li, J. 519 535
Li, T.-C. 535 [95]
Li, T.-T. 432 436 445 446 521 535
Li, Y. 456 484 533
Lieb, E. 260 299
Lieberman, G.M. 521 532
Liechtenstein, L. v vii
Lien, W.-C. 521 535
Lifshitz, E.M. 78 90 93 299 558 574 576—578 597 606 608 609 613 634 640 644 650
Lift 22 34
Lighthill, M.J. 519 535
Lillicrap, D.C. 62 67
Lin, L.W. 436 438 441 538
Lin, P.X. 512 538
Linear Boltzmann equation 86 99 281
Linearization 191 202—203
Linearized Boltzmann equation 36 37 39 40 134 138
Linearized collision operator 21 36
Linearized collision term 21
Linearized stability problem for a strong discontinuity 557
Linnik functional (Fisher information) 255
Linnik, Y.V. 255 299
Linz, P. 688 790
Lions' theorem 156 157
Lions, J.-L. 86 244 293 369
Lions, P.-L. v, vii [6]; 90, 103, 109, 112, 131, 136—138, 144, 146, 147, 154, 156, 157, 159, 160, 164, 170, 176, 179, 180, 195, 201, 261, 285, 287, 295 1190]; 295 [191]; 295 [192]; 295 [193]; 295 [194]; 295 [195]; 297 [242]; 299 [306]; 299 [307]; 299 [308]; 299 [309]; 299 [310]; 299 [311]; 299 [312]; 299 [313]; 299 [314]; 300 [315]; 300 [316]; 300 [317]; 300 [318]; 300 [319]; 300 [320]; 300 [321]; 300 [322]; 300 [323]; 313 320—324 330—333 337 338 340 344 346 349 350 357—360 365 497 505 534
Liu, H. 442 518 521 533
Liu, T.-P. 366 369 419 438 441 461 463 464 468 470 476 478 488 515 521 522 524—527 529 532 560 649
Liu, X.-D. 518 535
Liu, Y.J. 656 658 662 663 738 749 750 758 759 790
Liubarskii, G.Ia. 559 618 647
Loaded-sphere model 48
Local Maxwellian 19
Local well-posedness 428 443
Localization of collisions 79
Localization of the distribution function 123 147—153
Logarithmic Sobolev inequality 207 209 216 222
Loitsyanskii, L.G. 771 790
Long-time behavior 109—111 189—244 258
Long-time behavior, for granular media 277
Long-time behavior, for quantum models 283—284
Lopatinski determinant 568
Lord, R.G. 52 61 67
Lordi, J.A. 48 67
Lorentz gas 99
Lorentz, H.A. 47 67
Loschmidt's paradox 106
Loss term 81
Loss, M. 270 292
Low, E.E. 555 649
Low-density limit 96
Lower bounds 185—226
Loyalka, S.K. 4 69
Lozzi, A. 518 519 531
LSP (linearized stability problem) for fast MHD shock waves 614
LSP (linearized stability problem) for gas dynamical shock waves 579
LSP (linearized stability problem) for relativistic gas dynamical shock waves 600
LSP (linearized stability problem) for slow MHD shock waves 617
LSP (linearized stability problem) for the MHD contact discontinuity 630
LSP (linearized stability problem) for the MHD tangential discontinuity 642
LSP (linearized stability problem) for the rotational discontinuity 635
Lu, X. 86 110 138 148 157 164 205 279 280 284 285 300
Lu, Y.-G. 526 533
Lucquin-Desreux, B. 121 180 266 294
Lundgren, T.S. 656 755
Luo, P. 381 385 418 499 502 504 505 531 535
Luo, T. 361 369
Luskin, M. 531 535
Lyapunov functional 104—109 191—198 255 260
Lyubimov, G.A. 559 606 608 609 611 612 650
MacCamy, R.C. 442 539
Mach number 27 61
Macroscopic density 78
Macroscopic velocity 78
Magnetic field 47 49
Magnetoacoustic system 610
Magnetohydrodynamical shock wave 608
Majda, A. 27 67 333 368 430 432 436 438 441 442 444 445 515 517—519 529 532 555 558 560 561 565 566 569—572 578 583 587 593 595 596 647 651
Makino, T. 354 370 442 463 515 539
Malek, J. 313 320 351 352 369
Malrieu, F. 107 207 232 234 286 255
Mamontov, A.E. 364 369
Manev interaction 88
Marcati, P. 539 [227]
Marchesin, D. 559 561 650
Maremonti, P. 682 686 689 696 788
Markelov, G.N. 62 66
Markowich, P. 198 207 232 233 289
Markowich, P.R. 198 233 293
Markowich, PA. 89 94 281 286 293
Marra, R. 135 206 292
Marsden, J.E. 313 367
Marshall, G. 515 536
Martin, H. 655 790
Martin, N. 107 300
Maslova, N.B. 135 300
Masmoudi, N. 138 300 365
Mass 15 19
Mass conservation 30
Mass density in phase space 13
Mass flow 14 42
Mates, R.E. 48 67
Matsumoto, H. 58 67
Matsumura, A. 315 316 361 369
Matusu-Necasova, S. 347 354 364 368
| Mawhin, J. 395 419
Maximum principle 186—187
Maxwell molecules 10 60
Maxwell's model 24 50 60
Maxwell, J. 24 37 61 67 82 102 286 300
Maxwellian collision kernels 119 122 128 134 148 201 214 245—261 275
Maxwellian diffusion (boundary condition) 85 201
Maxwellian distribution 27 29 31 32 34 36 40 41 44 109
Maxwellian interaction 84 92
Maxwellian state, global 110 134 138
Maxwellian state, local 109 110 112 235
Maxwellians 13 53
Mazel, A. 521 535
Mc Court, F.R.W. 49 67
McBryan, O. 517 534
McCann, R. 230 231 300
McCann, R.J. 205 230 232 233 268 293
McCroskey, W.J. 61 67
McDougall, J.G. 61 67
McKean's conjectures 260—261
McKean, H.J. 104 222 223 232 248 253—255 260 287 300
McNamara, S. 276 301
Mean free path 3 4 33 37
Mean-field 88 197 276
Meistermann, L. 656 791
Meleard, S. 100 114 177 178 269 294
Merazhov, I.Z. 569 649
Merged layer 61
Messaoudi, S.A. 441 537
Messiter, A.E. 61 67
Metastability 377
Metcalf, S.C. 62 67
Metivier, G. 424 445 536 570 596 657
Meyer, R.E. 313 370
Meyer, Y. 137 144 295 367
MHD (magnetohydrodynamics) for an ideal fluid 606
Miclo, L. 216 301
Micromachines 4
Microreversibility 80 101
Microscopic variables 77
Milani, A.J. 391 419
Miller, D.M. 655 787
Miller, R.K. 689 790
Millikan, R.A. 42 67
Milne-Thomson, L.M. 659 790
Mischaikow, K. 384 390 419
Mischler, S. 86 114 118 123 132 133 136 138 147 149 150 153 157 158 161 162 279 281 282 284 294
Mishchenko, E.V. 555 569 597 598 602 603 648
Mixture 10 43 44 46 53 58 105
Mizohata, K. 463 515 539
Mizohata, S. 552 588 596 604 633 651
Mobly, R. 61 65
Model molecules 58
Mokrane, A. 569 651
Molar density 53
Molecular chaos 8
Molecular collisions 4 33 57 58
Molecular diameter 3 58
Molecular interaction 9 39 43 55
Molecular levels 62
Molecular mass 17
Molecular model 9 60
Molecules 3—5 9 10 22 24 31 33 34 43 44 46—49 53 54 58 61 62
Moment estimates 147—153 226
Moment method (Grad's) 113 135
Moments 29
Momentum 5 14 15 19 34 60
Momentum conservation 30 44 45 60
Momentum density 14
Momentum flow 14 15
Momentum transfer 28
Monakhov, V.N. 312 313 361 367
Monatomic gas 20 43 47 48 57 58
Monodimensional problems 139
Monte Carlo quadrature method 57
Monte Carlo simulation 57
Morawetz, C.S. 521 536
Morgenstern, D. 129 134 301
Morokoff, W.J. 57 58 66
Morrey, C. 287 307
Morse, T.F. 20 35 44 66
Moser, J. 540 [235]
Moss, J.N. 62 64
Mozina, J. 24 67
Muckenfuss, C. 48 65
Muller, I. 540 [236]
Multidimensional Euler equations 442 443 513
Multiple collisions 6
Muncaster, R. 78 95 101 113 117 236 286 304
Muntz, E.P. 61 65
Murat, F. 138 176 290 370 505 540
Murata, H. 249 301
Mustieles, F.-J. 86 307
N-waves 467
Nanbu, K. 59 60 62 65
Nash, J. vii [7]; 319 370
Natalini, R. 389 419 526 529 539
Navier — Stokes equations 3 4 25 27 28 31 37 61 62 112 138
Navier — Stokes liquid 670
Navier, C.L.M.H. v vii
Nearly free-molecule flow 33
Nearly free-molecule regime 4
Necas, J. 313 320 351 352 364 369
Necas, M. 364 370
Nelson, J. 750 758 790
Neunzert, H. 90 301
Neunzert, N. 60 66
Neutral stability of a strong discontinuity 548 568 571
Neutrons 86
Nicolaenko, B. 135 290 419
Nishida, T. 135 301 316 369 461 463 537
Nitrogen 43 53 62
No-slip boundary condition 312 324 334 359
No-stick boundary conditions 347
Nocilla, S. 24 68
Nohel, J.A. 442 529 534
Noll, W. 671 791
Non-equilibrium 54
Non-isentropic Euler equations 454
Non-isentropic fluids 512
Nondegenerate levels 47
Nondrifting Maxwellians 13
Nonstandard analysis 143
Nonuniqueness of solutions of Riemann problem 386 389
Nordsiek, A. 57 68
Normal gas 577
Norms,  569
Norms,  569
Norms,  569
Norms,  569
Nouri, A. 86 101 135 201 289
Novotny, A. 343 344 346 347 354 364 365 790
Nuclear reactor 3
Null collision technique 59 62
Number density 10 53 54
Numerical simulations 114—115 257
Numerical simulations, deterministic 114
Numerical simulations, spectral schemes 115 129
Numerical simulations, stochastic 114 178
Oblique shock 62
Ogawa, T. 696 790
Oguchi, H. 61 65
Ohwada, T. 32 33 65
Okada, M. 354 370
Olaussen, K. 260 301
Oleinik, O. 540 [249]
Olla, S. 113 236 301
One-particle probability density 5
Opic, B. 324 370
Oppenheim, A.K. 529 540
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