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Band 28

Stability of Fluid Motions II

Aus der Reihe Springer Tracts in Natural Philosophy

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

15.12.2011

Verlag

Springer Berlin

Seitenzahl

276

Maße (L/B/H)

24,4/17/1,7 cm

Gewicht

515 g

Auflage

Softcover reprint of the original 1st ed. 1976

Sprache

Englisch

ISBN

978-3-642-80996-5

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

15.12.2011

Verlag

Springer Berlin

Seitenzahl

276

Maße (L/B/H)

24,4/17/1,7 cm

Gewicht

515 g

Auflage

Softcover reprint of the original 1st ed. 1976

Sprache

Englisch

ISBN

978-3-642-80996-5

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Stability of Fluid Motions II
  • Produktbild: Stability of Fluid Motions II
  • VIII. The Oberbeck-Boussinesq Equations. The Stability of Constant Gradient Solutions of the Oberbeck-Boussinesq Equations.-
    54. The Oberbeck-Boussinesq Equations for the Basic Flow.-
    55. Boundary Conditions.- (a) Temperature Conditions.- (b) Concentration Boundary Conditions.- (c) Velocity Boundary Conditions.-
    56. Equations Governing Disturbances of Solutions of the OB Equations.-
    57. The ? Family of Energy Equations.-
    58. Kinematic Admissibility, Sufficient Conditions for Stability.-
    59. Motionless Solutions of the Oberbeck-Boussinesq Equations.-
    60. Physical Mechanisms of Instability of the Motionless State.-
    61. Necessary and Sufficient Conditions for Stability.-
    62. The Bénard Problem.-
    63. Plane Couette Flow Heated from below.-
    64. The Buoyancy Boundary Layer.- IX. Global Stability of Constant Temperature-Gradient and Concentration-Gradient States of a Motionless Heterogeneous Fluid.-
    65. Mechanics of the Instability of the Conduction-Diffusion Solutions in a Motionless Heterogeneous Fluid.-
    66. Energy Stability of Heated below and Salted above.-
    67. Heated and Salted from below: Linear Theory.-
    68. Heated and Salted below: Energy Stability Analysis.-
    69. Heated and Salted below: Generalized Energy Analysis.- Addendum for Chapter IX: Generalized Energy Theory of Stability for Hydromagnetic Flows.- X. Two-Sided Bifurcation into Convection.-
    70. The DOB Equations for Convention of a Fluid in a Container of Porous Material.-
    71. The Spectral Problem, the Adjoint Spectral Problem and the Energy Theory of Stability.-
    72. Two-Sided Bifurcation.- (a) Simple Eigenvalue.- (b) Multiple Eigenvalues.- (c) Stability of Bifurcating Solutions at Eigenvalues of Higher Multiplicity.-
    73. Conditions for the Existence of Two-Sided Bifurcation.- (a) Axisymmetric Convection in Round Containers.- (b) Nonaxisymmetric Convection in Round Containers.- (c) Convection in a Hexagonal Container.- (d) Stability of Solutions Bifurcating at an Eigenvalue of Multiplicity N.- (e) Stability of Bifurcating Hexagonal Convection.- (f) One-Sided Convection in Containers of Rectangular Cross-Section.- (g) The Bénard Problem for a DOB Fluid in a Container.-
    74. Two-Sided Bifurcation between Spherical Shells.-
    75. Stability of the Conduction Solution in a Container Heated below and Internally.-
    76. Taylor Series in Two Parameters.-
    77. Two-Sided Bifurcation in a Laterally Unbounded Layer of Fluid.- (a) Spectral Crowding.- (b) Cellular Convection.- (c) Stability and the Sign of the Motion in Cellular Convection.- Addendum to Chapter X: Bifurcation Theory for Multiple Eigenvalues.- (a) Membrane Eigenvalues Perturbed by a Nonlinear Term.- (b) Bifurcation from a Simple Eigenvalue.- (c) Bifurcation from a Multiple Eigenvalue.- (d) The Orthogonal Decomposition.- (e) Solvability Conditions.- (f) Perturbation of a Linear Problem at a Double Eigenvalue.- (g) Bifurcation from a Double Eigenvalue: An Example where the Initiating Solvability Condition Occurs at Order l =1 (?1 ? 0).- (h) Bifurcation from a Double Eigenvalue: An Example where the Initiating Solvability Condition Occurs at Order l = 2(?1 = 0, ?2 ? 0).- XI. Stability of Supercritical Convection-Wave Number Selection Through Stability.-
    78. Statistically Stationary Convection and Steady Convection.-
    79. Stability of Rolls to Noninteracting Three-Dimensional Disturbances.-
    80. Nonlinear Neutral Curves for Three-Dimensional Disturbances of Roll Convection.- (a) Oblique-Roll and Cross-Roll Instabilities.- (b) Varicose Instabilities.- (c) Sinuous Instabilities.-
    81. Computation of Stability Boundaries by Numerical Methods.-
    82. The Amplitude Equation of Newell and Whitehead.- XII. The Variational Theory of Turbulence Applied to Convection in Porous Materials Heated from below.-
    83. Bounds on the Heat Transported by Convection.-
    84. The Form of the Admissible Solenoidal Fluctuation Field Which Minimizes ? [u, ?; ?].-
    85. Mathematical Properties of the Multi-? Solutions.-
    86. The single-? Solution and the Situation for Small ?.-
    87. Boundary Layers of the Single-? Solution.-
    88. The Two-? Solution.-
    89. Boundary-Layers of the Multi-? Solutions.-
    90. An Improved Variational Theory Which Makes Use of the Fact that B is Small.-
    91. Numerical Computation of the Single-? and Two-? Solution. Remarks about the Asymptotic Limit ? ? ?.-
    92. The Heat Transport Curve: Comparison of Theory and Experiment.- XIII. Stability Problems for Viscoelastic Fluids.-
    93. Incompressible Simple Fluids. Functional Expansions and Stability.- (a) Functional Expansions of ?, Stability and Bifurcation.- (b) Generation of the History of a Motion.- (c) Stability and Bifurcation of Steady Flow.-
    94. Stability and Bifurcation of the Rest State.- (a) Slow Motion.- (b) Time-Dependent Perturbations of the Rest State.- (c) Stability of the Rest State.- (d) Bifurcation of the Rest State of a Simple Fluid Heated from below.-
    95. Stability of Motions of a Viscoelastic Fluid.- (a) The Climbing Fluid Instability.- (b) Symmetry Breaking Instabilities of the Time-Periodic Motion Induced by Torsional Oscillations of a Rod.- (c) The Striping Instability.- (d) Tall Taylor Cells in Polyacrylamide.- XIV. Interfacial Stability.-
    96. The Mechanical Energy Equation for the Two Fluid System.-
    97. Stability of the Interface between Motionless Fluids When the Contact Line is Fixed.-
    98. Stability of a Column of Liquid Resting on a Column of Air in a Vertical Tube—Static Analysis.-
    99. Stability of a Column of Liquid Resting on a Column of Air in a Vertical Tube—Dynamic Analysis.- Notes for Chapter XIV.- References.