Zeidler E. — Nonlinear Functional Analysis and its Applications IV: Applications to Mathematical Physic :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Zeidler E. — Nonlinear Functional Analysis and its Applications IV: Applications to Mathematical Physic

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Nonlinear Functional Analysis and its Applications IV: Applications to Mathematical Physic

Автор: Zeidler E.

Язык:

Рубрика: Математика/Анализ/Функциональный анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 1007

Добавлена в каталог: 23.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Duality of Trefftz      288 (see also “Part III”)
Dyadic product      167
Dynamical stability      841ff
Dynamical stability basic ideas of      20
Dynamical systems      see “Ordinary differential equations”)
e-homeomorphism      559
eddies in turbulence      513
Einstein’s equations      730
Einstein’s equations and bifurcation      788
Einstein’s equations initial-value problem for      787
Einstein’s equations light quantum hypothesis      102
Einstein’s principle of relativity      32 695
Einstein’s space-time manifold      730ff
Einstein’s summation convention      11 616
Elastic energy of the cuboid      198
Elastic potential energy      190
Elasticity basic ideas in      159ff 234ff
Elasticity linear      239 255
Elasticity module      148
Elasticity nonlinear      158 176
Elasticity plane      345
Elasticity typical difficulties in      179
Elasto-viscoplastic wire      151
Elastodynamics, linear      212
Elastostatics      180
Electron volt      883ff
Elementary particles      130ff
Elementary particles critical temperature for      62
Elementary particles cross section for      106 137 139
Elementary particles lifetime of      130
Elliptic geometry      656ff
Embedding      559
Embedding theorem of Nash      661
Embedding theorem of Whitney      588
Energy      19 34
Energy and the first law of thermodynamics      379
Energy dissipation      513ff
Energy dual elastic      245
Energy elastic potential      190
Energy fluctuations      399 406
Energy free      387
Energy in mechanics      34
Energy inner      374 379 386ff
Energy kinetic      32
Energy of a free particle      721
Energy of a photon      102 722
Energy of the present universe      61
Energy potential      33
Energy total      34
Energy-momentum tensor      725 727 732 734
Energy-time uncertainty      104 130
Enthalpy      387 391
entropy      363ff 380 397
Entropy and equilibrium states      388
Entropy and Gibbs’ fundamental equation      374
Entropy and information      364 419
Entropy and statistical weights      366 420
Entropy and the second law of thermodynamics      380
Entropy as a thermodynamical potential      387
Entropy balance      434
Entropy basic ideas of      363ff
Entropy in classical statistics      417
Entropy in hydrodynamics      434
Entropy in quasi-classical statistics      417
Entropy in statistical physics      397
Entropy of radiation      59 409
Equation of state      372 377 414
Equilibrium forms of rotating fluids      476ff
Equilibrium point asymptotically stable      842
Equilibrium point in economics      806
Equilibrium point of a differential equation      841
Equilibrium point of dynamical systems      841
Equilibrium point of Nash      802
Equilibrium point of Walras      806
Equilibrium point stable      841
Equilibrium point unstable      842
Equilibrium states computation of      387
Equilibrium states in mechanics      50
Equilibrium states in thermodynamics      373 387ff
Equilibrium states necessary condition for      35
Equivalence of maps      571
Equivalent system of reference      29
Etale mapping      551
Euler characteristic      686 688ff 692
Euler class      689
Euler equation in hydrodynamics      439
Events lightlike      715
Events spacelike      715
Events timelike      715
Expansion of the universe      58ff 742ff
expectation value      see “Mean value”
Extremal principles in thermodynamics      387
Fan’s inequality      801
Feigenbaum bifurcation      522
Fermi statistics      402 408
Fermi statistics basic ideas of      401
Fermion      126 751
Fiber      544
Field quantum      131ff
Fixed-point index      824 (see also “Part I’)
Fixed-point index and differential topology      825
Fixed-point theorem of Brouwer      799
Fixed-point theorem of Fan — Glicksberg      805
Fixed-point theorem of Kakutani      804
Fixed-point theorems      795ff
Floquet eigenmultiplier      850
Floquet multiplier      850ff
Floquet transformation      850
Floquet trick      846
Flow around a body      474
Flow in tubes      439
Flow irrotational      438
Flow laminar      440
Flow on a manifold      547ff 847
Flow parallel      437
Flow planar      453
Flow stationary      438
Flow turbulent      440
Fluid compressible      437
Fluid ideal      see “Iriviscid”
Fluid incompressible      438
Fluid inviscid      439
Fluid viscous      438
Flux      450
force      26
Force and Newton’s basic equation      26
Force centrifugal      30
Force conservative      33
Force constraining      46
Force Coriolis      30
Force Coulomb      38
Force four fundamental forces in nature      135
Force gravitational      35
Force inertial      30
Force unit of      884
Form invariance      720
Four momentum      723
Four velocity      723
Fourier’s law      424
Fredholm operator      1365 552
Free boundary-value problem      450
Free energy      387 390
Free enthalpy      387 391
Free fall      26
Free particle      719
frequency      28 99
Frequency-time uncertainty relation      104
Friction      436ff
Friedman model closed      736 745
Friedman model open      741 747

Function spaces, notations for      940
Fundamental equation of Gibbs      374 382
Fundamental equations of surface theory      639
Fundamental forms of Gauss      633
Fundamental interactions in nature      134ff
Future of our cosmos      745ff
Galileian principle of relativity      31
Game theory      802
Gas constant      377
Gas dynamics      444 (see also «Part V)
Gauge invariance      33
Gauge theory      612 690
Gauss basic equations in mechanics of      48
Gauss map      689
Gauss principle of least constraint of      48
Gaussian curvature      611 637 643 656 659 682ff 686 689
Generic finiteness of the solution set      521 834
Genericity      570 573 579
Genus      686
Geodesic coordinates, local      784
Geodesic curvature      685
Geodesies      646ff 653
Geodesies affine      650
Geodesies in classical mechanics      684
Geodesies in general relativity      731
Geometrization of mechanics      21
Geometry elliptic      656ff 659
Geometry Euclidean      656 659
Geometry hyperbolic      656ff 659
Geometry non-Euclidean      656ff 659
Geometry Riemannian      634 651 730ff
Gibbs’ fundamental equation      374 382
Gibbs’ phase rule      391
Gradient method      255
Grand unification theory      135 748
Gravitational acceleration      26 37
Gravitational collapse of stars      790
Gravitational constant      36ff 884
Gravitational force      35
Gravitational force in a mine      91
Gravitational force, first-order approximation      21 36
Gravitational law      35
Gravitational potential      36
Gravitational potential of a body      90
Gravitational potential of a spherical shell      91
Group velocity      107 110
H-space (Hubert space)      I784ff see
Half-life period      104
Hamilton — Jacobi equation      82ff
Hamilton — Jacobi equation for a free particle      723
Hamiltonian equation      see “Canonical equation”
Hardening of material      151ff 348ff
harmonic oscillator      27 127
Harmonic oscillator in quantum mechanics      79 122 126
Hausdorffdimension      see “Part V”
Hausdorffmeasure      521
Heat      370 379
heat capacity      378
Heat capacity, specific      376ff 424
Heat conduction      423ff
Heat conductivity number      424
Heisenberg’s uncertainty relation      123ff
Hencky material, nonlinear      202 256
Henon attractor      522
Hertzsprung — Russel diagram      777
Holder inequality      see “Part II”
Holder spaces      1230
Holonomic constraints      48
Homotopy methods      817ff
Homotopy methods basic ideas of      818
Hooke’s law, linear      148 199 201
Hooke’s law, nonlinear      233
Hopf bifurcation      840 862ff 873 876
Hopf bifurcation and abstract parabolic equations      879
Hopf bifurcation degenerate      878
Hopf bifurcation global      873
Hubble constant      57 743
Hubble’s law      57 743
Hubert’s variational problem in general relativity      734 784
Hydrodynamics      433ff
Hydrogen atom      118ff 121 137
Hydrostatics      445
Hyperbolic geometry      656ff
Hyperelasticity      190ff
Hyperelasticity general strategy of      196
Hysteresis      148ff 348ff
Ideal fluid      see “Inviscid fluid”
Ideal gas      377 394 403ff
Ideal plastic material      149
Immersion      551
Incompressible fluid      437
Index of a Fredholm operator      552
Index picture of tensors      623
Index principle for tensors      616 623 625 629 679ff
Index principle of mathematical physics      625 681
Index principle, inverse      681
Inequality of Chebyshev      115 398
Inequality of Fan      801
Inequality of Garding      214 (see also “Part II”)
Inequality of Holder      see “Part II”
Inequality of Korn      248 279ff
Inequality of Poincare — Friedrichs      see “Part II”
Inequality quasi-variational      807
Inequality variational      296ff 303ff
Inertia tensor      53
Inertial charts      713
Inertial force      30
Inertial system      28 30 699ff 702ff 782
Infinitesimal motion      12
Infinitesimal rotation      12
Infinitesimally small rigid motion      292 344
Inflationary universe      749
information      III294 III307
Inner friction      436ff
Integrability conditions      343 640 643 654 667 669
Interactions in nature, four fundamental      134ff
International system of units      883
Invariants      619
Inviscid (ideal) relativistic fluid      726ff
Inviscid fluid      439
Irreversible      381
Irrotational flow      438
Isotropic tensor functions      203ff
jet      567
Jet coordinates      566
Joule      883
k-determined map      574 576 602
k-equivalent maps      567
K-theory      594 (see also “Part V”)
Kepler’s laws      22 39 41
Kerr — Newman solution      779
kinetic energy      19 32
Kolmogorov’s laws in turbulence      513ff
Korn’s inequality      248 279ff
Korteweg — de Vries equation      468ff (see also “Part II”)
Kruskal solution      767
Kutta — Jukovski formula      474
Lagrange brackets      85
Lagrange equation      21 70
Lagrange function      21 71
Lagrange manifold      87
Lagrange multiplier and chemical potential      398
Lagrange multiplier and temperature      398
Lagrange multiplier in mechanics      67ff
Lagrange multiplier rule in variational inequalities      306
Lame constants      199
Lame constants dual      256
Laplace operator on manifolds      673
Law of equipartition      62 378 417ff
Law of Hagen — Poisseuille      439

1 2 3 4 5

О проекте