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

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

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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

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Предметный указатель

Principle of relativity, classical      31 703
Principle of stationary action      69ff
Principle of virtual work      18 345
Principle of virtual work and the principle of virtual power      18
Principle principle of virtual power      16ff 50
Principle stationary potential energy      190
Principle turning point      821
Principles, list of important      956
Probability of presence for particles      114
Production of entropy      435
Production of mass      423
Production of momentum      435
Projection operator      1766
Projection-iteration method      254
Propagation of action      81
Propagation velocity      100
Proper map      I173ff 551
Proper time in general relativity      732
Proper time in special relativity      718
Pseudomonotone operators definition of      see “Part II”
Pseudomonotone operators in elasticity      322ff
Pseudomonotone operators in hydrodynamics      481ff
Pseudosphere      660
Pseudotensor      628
Pseudotensor density      630
Pseudotensor dual      629
Pull-back      670
Pulsars      778
Quantization      98ff
Quantization general approach to      see “Part V”
Quantization of classical mechanics in the sense of Heisenberg      78
Quantization of classical mechanics in the sense of Schroedinger      112
Quantization of the phase space      126
Quantum cosmology      750
Quantum of action      78 102 108 126 366 884
Quantum statistics      (see also “Part V”
Quantum statistics, basic ideas of      401
Quantum statistics, Bose statistics      402 408
Quantum statistics, Fermi statistics      402 408
Quasars      778
Quasi-classical approximations in general relativity      735
Quasi-classical approximations in quantum mechanics      129
Quasi-concave      1456
Quasi-convex      1456
Quasi-eigen vector      869
Quasi-equilibrium states      372ff 374 379ff
Quasi-statical plastic material      257
Quasi-variational inequality      807
Radiation problem of Carleman      422ff
Rankine — Hugoniot jump condition in gas dynamics      444 (see also “PartV”)
Rayleigh number      508
Reaction probability      107
Reaction velocity      389
Red limit of the cosmos      778
Red shift and the expansion of the universe      57 742
Red shift in gravitational fields      766
Red shift in the spectrum of galaxies      57 742
Region      1758
Regular minimum      51
Regular point      552
Regular solution curve      819
Regular space      I596 537
Regular state space      380
Regular value      552
Relatively compact set      1756
Relativity principle of Einstein      32 695
Relativity principle of Galilei      31 703
Representatives (local coordinates) of a cotangent vector      545
Representatives (local coordinates) of a map      537
Representatives (local coordinates) of a point of a manifold      534
Representatives (local coordinates) of a point of the tangent bundle      543
Representatives (local coordinates) of a tangent vector      539
Residual set      570 829
retract      150
Reversible process      381
Reynolds number      440 479 485 495 520
Ricci tensor      731
Riemannian manifold      651
Riemannian manifold proper      651
Riemannian manifold pseudo-      651
Rigid body      52ff 54
Ritz method      252
Rod equation      315ff
Rubberlike material of Ogden      208
Rutherford’s scattering formula      139
Saint Venant — Kirchhoffmaterial      208
Scalar curvature      731
Scales equilibrium of a pair of      14ff
Scales motion of a pair of      19ff
Scales stability of a pair of      14ff
Scattering of particles      106 138ff
Schauder estimates      460
Schrodinger equation      112ff
Schwarzschild solution      756
Section of a bundle      544
Section of a vector bundle      590
Sectorial operator      see “Part II”
Semiflow      547
Semigroup      see “Part II”
Sets, fundamental properties of      1893
Shell theory      325
Shift operator      847ff
Similarity in mathematical physics      439 484
Simple contra variant tensor      619
Simple covariant tensor      619
Simplicial algorithms      812
Simplicial methods      794ff
Simplicial methods basic ideas of      798
Singular homology groups      688 (see also “PartV”)
Singular perturbation problems      519
Singular point      552
Singular point, nondegenerate      561
Singular value      552
Sinking of a space ship      773
Sinusoidal waves      466ff
Skew-symmetric      see “Antisymmetric”
Slow deformation processes      349
Small oscillations      96
Sobolev spaces      see “Part II”
Solitary waves      466ff
Solitons      468ff
Spacelike events      715
Specific densities      442
Specific entropy      376
Specific heat capacity      376
Specific inner energy      376
Spectrum      1795
Spectrum does not surround the origin      849
Sperner simplex      798 814
Spherical waves      103
Spin      125
Spin and statistics      125
Splitting of spaces      1766 531 550
Splitting of spaces of maps      531
Stability basic ideas of      16 20
Stability dynamical (in the sense of Ljapunov)      20 842
Stability inelasticity      193 217
Stability of dynamical systems      841
Stability of equilibrium points      841
Stability of mechanical systems      16 50
Stability of orbits      852
Stability of periodic solutions      851
Stability of solutions of ordinary differential equations      841
Stability of the planetary system      42
Stability of thermodynamical states      389
Stability orbital      852
Stability principle in mechanics      16 50ff
Stability principle in mechanics, basic idea of the      16
Stable equilibrium dynamically      20 842
Stable equilibrium statically      16 50

Star models classical      412
Star models relativistic      790
Star, death of a      777ff
State      371
State equation of      372 377 414
State equilibrium      373 387ff
State quasi-equilibrium      372ff 387ff
State strictly stable      193
State strongly stable      218 244
Statical      16 50
Stationary flow      438
Statistical physics      (see also “Part V”)
Statistical physics classical      417 420
Statistical physics, basic ideas of      396ff
Statistical physics, Boltzmann statistics in      420
Statistical physics, Bose statistics in      402 408
Statistical physics, classification of states and      401
Statistical physics, Fermi statistics in      403 408
Statistical physics, ideal gas in      403ff
Statistical physics, photon gas in      408ff
Statistical physics, pure energy statistics in      402
Statistical physics, quasi-classical      417
Statistical potential      387 400
Statistical solution of the Navier — Stokes equations      522
Stefan — Boltzmann law      409ff 781
Stored energy function      165 190
Stored energy function dual      246 256 294
Stored energy function general structure of the      207
Strain tensor      165 770
Strain tensor linearized      170
Strain tensor, geometrical meaning of the      171ff
Strange Attractor      522 (see also “Part V”)
Stream line      454
Stress force      165 777 181
Stress tensor      165 177 181ff
Stress tensor basic formulas for the      189
Stress tensor for the inner friction      434 436ff
Stress tensor in hyperelasticity      190
Strict local minimum III      193
Strictly stable      193
strings      753ff
Strongly continuous operator      1498
Strongly elliptic systems      213
Strongly k-determined map      574
Strongly stable solution      193 218 244
Structural stability      579
Subgradient      III385
Subimmersion      551
Submanifold      556
Submanifold with boundary      556
Submersion      551
Sun, history of the      777
Super-Lie groups      752
Supergravity      751
Supermanifolds      752
Superstring theory      752
Supersymmetry      751
Surface maps      644
Surface theory curvature properties in      636ff
Surface theory metric properties in      63Iff
Symplectic geometry and mechanics      22 (see also “Part V”)
Tangent bundle      542
Tangent map      543
Tangent map at a point      541
Tangent vector      538
Tangent vector abstract      539
Tangent vector concrete      538
Tangent vector, local coordinates of a      539
Tangent vector, transformation rule for a      539
Taylor problem      495ff
Taylor vortices      495
Tconstant in the sense of Lie      675
Tcurl of a      630
Tdivergence of a      166 626 629
Temperature as a Lagrange multiplier      398
Temperature basic ideas for      363ff
Temperature compensation      388
Temperature Gibbs’ fundamental equation and      374
Temperature in statistical physics      398
Temperature of radiation      58 408
Temperature regular states and      380
Temperature zero-th law of thermodynamics and      380
Tensor      618ff
Tensor antisymmetric (skew-symmetric)      622
Tensor calculus      615ff
Tensor calculus basic ideas of the      615
Tensor calculus on manifolds      648ff
Tensor construction of a      681
Tensor contraction of a      622
Tensor contravariant      619
Tensor covariant      618ff
Tensor curvature      see “Curvature tensor”
Tensor degree of a      619
Tensor density      630
Tensor field constant in the sense of Levi-Civita      627
Tensor in three-dimensional space      13 166
Tensor parallel transport of a      see “Parallel transport”
Tensor symmetric      622
Tensor trace of a      166
Tensor type of a      679
Theorem of      (see also “Lemma of”)
Theorem of Adams      692
Theorem of Birkhoff      786
Theorem of Bolzano — Poincare — Miranda      808
Theorem of Bonnet (main theorem of surface theory)      640
Theorem of Brouwer      799
Theorem of Chern      689
Theorem of Crandall and Rabinowitz      858 862 879
Theorem of de Rham      688
Theorem of Euler (polyeder theorem)      687
Theorem of Fan and Glicksberg      805
Theorem of Gale, Nikaido, and Debreu      807
Theorem of Gauss (angular sum theorem)      686
Theorem of Gauss (integral theorem)      665
Theorem of Gauss (theorema egregium)      643
Theorem of Gauss — Bonnet — Chern      685ff
Theorem of Hartman — Stampacchia      803
Theorem of Hodge      672
Theorem of Hopf      862 876
Theorem of Kakutani      804
Theorem of Ljapunov (center theorem)      868
Theorem of Ljapunov (stability theorem)      843
Theorem of Morse      691
Theorem of Murat      267
Theorem of Nash      661
Theorem of Poincare (differential forms)      669
Theorem of Poincare (duality theorem)      688
Theorem of Poincare — Hopf      691
Theorem of Riemann      654
Theorem of Rivlin — Ericksen      207
Theorem of Sard      587
Theorem of Sard (parametrized)      823
Theorem of Sard — Smale      829ff
Theorem of Sard — Smale (parametrized)      832
Theorem of Stokes (integral theorem)      660 670
Theorem of Thorn (transversality theorem)      570
Theorem of Whitney      588
Theorema egregium of Gauss      643
Theory of relativity general      730ff
Theory of relativity special      694ff
Thermodynamical equilibrium states      373 387ff
Thermodynamical potential      385 387
Thermodynamical process      371ff 379
Thermodynamical process adiabatic      380
Thermodynamical process closed      380
Thermodynamical process irreversible      365 381
Thermodynamical process isothermal      387
Thermodynamical process reversible      365 381
Thermodynamical quasi-equilibrium states      372ff 374 379ff
Thermodynamical states      371ff 379ff

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