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

"div-curl" lemma      193
"Outer" problem      324
semigroup      341
$\overset{\cdot}{B}^{-1, \infty}_{\infty}$ space      181 190 191 210
Activity      11
Agmon, S.      614 657
Alexander, J.      316 344 355 357 367 417 524
Alexander, R.K.      19 79
Alinhac, S.      88 118 157
Amann, H.      169 215 235
Anisotropic treatment      578
Aoki, K.      56 82
Argument principle      519
Arkeryd, L.      37 79
Arnold theorem      265
Arnold, V.I.      254 265 266 307
Asano, K.      50 79 294 307
Asymptotic behavior      163 165 185 221 226 227
Atmosphere      540 563
Attractor      226
Auscher, P.      190 191 231 233 235
Auxiliary energy estimate      383 448 481
Azevedo, A.      327 335 524
Babin, A.      307 [3]
Backward self-similar solutions      221 222 226
Bahouri, H.      105 142 157
Balancing transformation      351 502
Baouendi, S.      157 [10]
Bardos, C.      4 51 59 60 79
Barmin, A.A.      316 324 332 336 507 525
Barraza, O.A.      224 226 227 231 235
Bartello, P.      598 657
Batchelor, G.K.      307 [4]
Battle, G.      187 235
BBGKY hierarchy      4 25—27 30 35
Beale, J.      157 [12]
Beale, T.      307 [5]
Beirao da Veiga, H.      231 244
Ben-Artzi, M.      235 [9]
Benachour, S.      757 [11]; 757 [13]
BenAmeur, J.      156 157
Benois, O.      64 80
Benzoni-Gavage, S.      313 316 324 330—333 338 370 371 477 525
Bergh, J.      188 219 220 235
Bernstein lemma      175
Bertozzi, A.L.      757 [15]; 235 235 525
Besov spaces      130 165 177 178 180—183 185 186 188 190 191 196 197 201—205 209—211 217 218 220 222—224 226 234
Besov, O.V.      235 [13]
Beta plane      539
Beta plane, approximation      548 566
Bethe, H.A.      326 329 507 525
Bewley, T.      657 [4]; 657 [5]
Bhattacharya, R.N.      188 235
Biagioni, H.A.      171 235
Biler, P.      171 229 236
Binary collisions      20
Biot — Savart law      85 87 89 114
Bird scheme      37
Blow up      164 210 221 226 227 229
BMO space      179 181 213
BMO $^{-1}$ space      179 181 209 210
Bobylev, A.V.      56 82
Boillat, G.      317 486 525
Boldrighini, C.      15 74 80
Boltzmann collision operator      33
Boltzmann dynamics      4
Boltzmann equation      4 17 23 24 35—37 40 41 44 46 51 56 59 164
Boltzmann equation for hard spheres      22
Boltzmann H-function      42
Boltzmann H-theorem      42
Boltzmann hierarchy      33 34
Boltzmann — Gibbs distribution      10
Boltzmann — Grad limit      24 26 37 70
Bony, J.-M.      88 118 131 142 757 236
Bottom of the ocean      547
Bouchut, F.      525 [B]
Boundary, layer      548
Boundary, layer type solutions      268
Boundary, layers, Ekman      297 298 300 301
Boundary, layers, Prandtl's      297
Bourdaud, G.      177 180 236
Bourgain, J.      74 80
Bourgeois, A.      307 [5]
Boussinesq approximation      542
Boussinesq conditions      56 58 60
Boussinesq equations of the ocean      543
Boussinesq, J.      56 80
Branch singularities      456 459 467 475 518
Brandolese, L.      234 236
Brenier, Y.      269 270 307
Bresch, D.      540 657
Brezis, H.      236 [28]; 236 [29]
Bridges, T.      335 525
Brin, L.      313 335 525
Brouwer fixed point theorem      557
Browder, F.E.      167 170 236 307
Bultelle, M.      525 [BGS]
Bunimovich, L.A.      5 74 78 79 80
Burgers equation      62
Burgers number      597
Buttke, T.      88 757
Cadeddu, L.      171 235
Caffarelli, L.      164 236
Caflisch, R.E.      4 44 47 49—51 79 292 294 307
Caglioti, E.      7 74 80
Calderon, CP.      197 198 227 236
Cannone, M.      88 142 157 165 166 171 172 174 181 182 185 188 190 192—195 197—204 206—209 215 217 218 222—225 227 229 231 233 234 236 307
canonical ensemble      10
Canonical state      11
Caprino, S.      37 50
Carrier, G.F.      309 [52]
Cattabriga — Solonnikov inequality      640 649
Cauchy theorem: deformation of contours      428 431 435 442
Cazabat, A.M.      525 [BMFC]
Cazenave, T.      171 236
Cellular instabilities      316
Cercignani, C.      4 19 24 34 35 37 39 41 44 52 50
Chacon Vera, E.      757 [23]
Chae, D.      234 237
Chandrasekhar, S.      314 354 526
Chapman, S.      52 50
Chapmann — Enskog expansion      52 54
Characteristic equation      356 366
Characteristic length      230
Characteristic velocity      230
Chazarain, J.      364 365 526
Chemical pollutants      537
Chemin, J.-Y.      97 104 105 118 120 125 126 134 139 141 142 144 156 757 234 237 307
Chen, Z.-M.      237 [62]; 237 [63]; 237 [64]
Chen,L.      188 235
Choe, H.J.      229 237
Classification of profiles      321 322
Clopeau, T.      296 307
Coddington, E.A.      526 [CL]
Coefficients transport      51 54 55 58 61 62
Cohen, A.      144 755
Coifman, R.      755 [37]; 193 237
Colin, T.      307 [14]; 307 [15]
Collision invariant      39 41
Compensating matrix      352 385 449
Compressible Euler equations      58 61
Compressible fluid      15
Compression ratio      515 524
Concentration of salinity      542
Conditions boundary      166 212 547 548 552 566 567 571 585
Conditions boundary, Boussinesq      56 58
Conditions boundary, Robin      614
Conditions Boussinesq      60
Conditions Rankine — Hugoniot      324 513
Conical singularity      365 455

Conjugation lemma      343 495
Conley, C.      327 526
Conservation laws      108 110
Conservation of energy      537
Conservation of energy equation      542
Conservation of mass      537 542
Conservation of momentum      537 542
Consistent splitting      344 355
Constantin, P.      88 156 757 235 235 657
Continuity equation      542
Convection-diffusion equation      234
Convex entropy      485
Convex profiles      268 270
Coppel, W.A.      526 [Co]
Coriolis force      297 298 542
Corrections to the local equilibrium      51 61
Costantini, C.      50 50
Coupled atmosphere-ocean      570
Courant, R.      315 526
Cowling, T.G.      52 50
Critical layer      252 278
Critical Reynolds number      286—288 297 301 306
Critical space      190 191 194 208—210 214 215 222 223 226
Critical spaced $\overset{\cdot}{B}^{-1, \infty}_{\infty}$       210
Cross section      23 38 54 59 60 66 78
Cross section, cutoff      35
Cylinder type domains      615
D'yakov, P.      316 329 507 526
Danchin, R.      144 156 757
Davis, W.C.      315 316 328 526
de Masi, A.      15 58 50
De Sterck, H.      338 526
Dehman, B.      757 [9]
Delacour, P.      755 [43]
Delort theorem      94
Delort, J.-M.      86 94 145 755
Depauw, N.      144 755 235
Derks, G.      335 525
Desjardins, B.      268 300 306 307
Desvillettes, L.      50 74 50
Detonation waves      316
Diagnostic variables      546 548 567
Diffusion coefficient      78 543
Diffusion constant      77
Diffusion process      78
Diffusive limit      64 78
Diffusive scaling      64 78
DiPerna, R.J.      4 59 50
Dirichlet — Robin boundary value problem      622
dispersion relation      356
Dobrushin, R.L.      7 15 50
Dobson, S.      188 235
Doughs, A.      614 657
Drazin, P.G.      250 253 267 272 282 307 526
Dritschel, D.      88 755
Dubois, S.      169 233 235
Duerr, D.      74 50
Duhamel principle      393 450
Dutrifoy, A.      144 755
Dyadic blocks      175 176 185 188
Dyadic decomposition      179
Dyadic partition      125
Dynamical stability      324
Earman, J.      163 235
Effective eigenspace      423 441 474
Egorushkin, S.A.      316 324 332 336 507 525
Ekman boundary layers      297 298 300 301
Ekman, V.W.      297 307
Elastic collision      18
Embid, P.      307 [19]
Empirical currents      7
Empirical density      17 63
Empirical distribution      36
Empirical fields      7
Empirical mass momentum and energy densities      7
Energy equality      222
Energy flux      14
Energy inequality      59 170 171 213
Engquist, B.      292 307
Engquist, W.      292 307
Enskog equation      164
Enstrophy      539 541
entropy      42
Entropy, bound      60
Entropy, dissipation      38
Entropy, flux      42
Entropy, inequality      59
Entropy, method      17 63
Entropy, variable      485 490
Entropy-entropy flux inequality      42
Equation barotropic two-dimensional      538
Equation Boltzmann      4 17 23 24 35—37 40 41 44 46 51 56 59 164
Equation Boltzmann, homogeneous      44 47 48 50
Equation Boltzmann, linear      5 74 77
Equation Burgers      62
Equation Burgers inviscid      17
Equation Enskog      164
Equation Euler      4 5 15 16 46 50 51 53 58 74 164 234 510
Equation Euler, compressible      58 61
Equation Euler, incompressible      4
Equation governing      571
Equation of diffusion for the salinity      542
Equation of state of the ideal gases      58
Equation of-state      11 542 544
Equation, characteristic      356 366
Equation, conservation mass      611
Equation, continuity      542
Equation, Hamilton — Jacobi viscous      234
Equation, heat      77 226 234 625
Equation, hydrodynamic      64 74
Equation, hydrodynamical      18 37 41 50
Equation, hydrostatic      538 597
Equation, KdV      227
Equation, limit of the Navier — Stokes incompressible      56
Equation, Liouville      12 13 16 25—27 29 61
Equation, Navier — Stokes      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
Equation, Navier — Stokes — Fourier      54
Equation, Navier — Stokes, incompressible      4 58 59 64
Equation, Newton      5 61
Equation, Prandtl's      290 291 296
Equation, primitive      537 538 541 545 563 574
Equation, Schroedinger      201 227
Equation, shallow water      538
Equation, thermodynamics      542
Equation, wave      201
Equilibrium, Maxwellian distribution      24
Equilibrium, probability distribution      10
Equilibrium, state      9 12
Equilibrium, statistical mechanics      11 15
Equivalence of the ensembles      10
Equivalence, "weak : strong"      213
Erpenbeck, J.J.      316 328 329 331 332 507 508 519 523 526
Escauriaza, L.      213 235
Esposito, R.      51 58 62—64 50
Essential spectrum      251 253
Euler equation      15 46 58 74 164 510
Euler equations      4 5 15 16 46 50 51 53 164 234
Euler limit      17 37 62
Euler scaling      17
Euler, time scale      17 59 63
Evans function      345
Evans, J.W.      316 367 526
Ewald, B.      565 657
Exponentially, asymptotically stable      231
Exponentially, unstable      231
Extreme shock      322 513
Fabes, E.B.      192 202 235
Fabrie, P.      307 [15]
Fanton, X.      525 [BMFC]
Farge, M.      185 235

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