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Preface; Contents; List of Symbols; Part I Basic Properties and Disk Oscillations; 1 Introduction; 1.1 Brief History of Emergence of Accretion Disks in Astrophysics; 1.2 Importance of Studying Disk Oscillations and Diskoseismology; 1.3 Astrophysical Objects with Disks; 1.3.1 Young Stellar Objects; 1.3.2 Cataclysmic Variables; 1.3.3 X-Ray Binaries and Ultra-luminous Sources; 1.3.3.1 Neutron-Star X-Ray Binaries; 1.3.3.2 Black-Hole Binaries and Microquasars; 1.3.3.3 Ultra-luminous X-Ray Sources; 1.3.4 Galactic Nuclei; 1.4 Quasi-periodic Oscillations in Various Objects
1.4.1 HFQPOs in Black-Hole Binaries1.4.2 kHz QPOs in Neutron-Star Binaries; 1.4.3 QPOs in Ultra-luminous X-Ray Sources; 1.4.4 QPOs in Active Galactic Nuclei and Sgr A*; 1.5 Long-Term Variations in Disks; 1.5.1 Positive and Negative Superhumps in Dwarf Novae; 1.5.2 V/R Variations in Be Stars; 1.5.3 Long-Term Variations in Be/X-Ray Binaries; 1.6 Brief History and Summary on Accretion Disk Models; References; 2 Basic Quantities Related to Disk Oscillations; 2.1 General Remarks on Subjects of Our Studies; 2.1.1 Nonself-Gravitating Disks; 2.1.2 Geometrically Thin Disks
2.1.3 Neglect of Accretion Flows on Wave Motions2.1.4 Effects of Global Magnetic Fields; 2.1.5 General Relativity; 2.2 Epicyclic Frequencies; 2.2.1 Radial Epicyclic Frequency in Pressureless Disks; 2.2.1.1 Case of Rotating Central Star; 2.2.1.2 Case of Binary System; 2.2.2 Radial Epicyclic Frequency in Fluid Disks; 2.2.3 Vertical Epicyclic Frequency; 2.2.3.1 Case of Rotating Central Star; 2.2.3.2 Case of Binary System; 2.2.4 General Relativistic Versions of Epicyclic Frequencies; 2.2.4.1 Radial Epicyclic Frequency; 2.2.4.2 Vertical Epicyclic Frequency; 2.3 Corotation and Lindblad Resonances
2.3.1 Corotation Resonance2.3.2 Lindblad Resonances; 2.3.2.1 Comments on Singular Points; References; 3 Derivation of Linear Wave Equations and Wave Energy; 3.1 Lagrangian Description of Oscillations and Wave Energy; 3.1.1 Orthogonality of Normal Modes; 3.1.2 Lagrangian Description of Wave Energy and Its Conservation; 3.1.3 Generalization to Magnetized Disks; 3.2 Eulerian Description of Oscillations; 3.2.1 Eulerian Description of Wave Energy; 3.2.2 Wave Energy Density and Energy Flux; 3.2.3 Wave Action and Its Implication; References; 4 Vertical Oscillations; 4.1 Vertical Disk Structure
4.1.1 Vertically Polytropic Disks4.1.2 Vertically Isothermal Disks; 4.2 Purely Vertical Oscillations; 4.2.1 Vertically Polyrtropic Disks; 4.2.2 Vertically Isothermal Disks; 4.2.3 Vertically Truncated Isothermal Disks; 4.2.4 Isothermal Disks with Toroidal Magnetic Fields; References; 5 Disk Oscillations in Radial Direction; 5.1 Approximations for Driving Radial Wave Equations; 5.1.1 Perturbation Method; 5.1.2 Galerkin's Method; 5.2 Wave Equation Derived by Perturbation Method; 5.2.1 Wave Equation in the Limit of dlnH/dlnr=0; 5.2.2 Wave Equation Till the Order of (dlnH/dlnr)
1.4.1 HFQPOs in Black-Hole Binaries1.4.2 kHz QPOs in Neutron-Star Binaries; 1.4.3 QPOs in Ultra-luminous X-Ray Sources; 1.4.4 QPOs in Active Galactic Nuclei and Sgr A*; 1.5 Long-Term Variations in Disks; 1.5.1 Positive and Negative Superhumps in Dwarf Novae; 1.5.2 V/R Variations in Be Stars; 1.5.3 Long-Term Variations in Be/X-Ray Binaries; 1.6 Brief History and Summary on Accretion Disk Models; References; 2 Basic Quantities Related to Disk Oscillations; 2.1 General Remarks on Subjects of Our Studies; 2.1.1 Nonself-Gravitating Disks; 2.1.2 Geometrically Thin Disks
2.1.3 Neglect of Accretion Flows on Wave Motions2.1.4 Effects of Global Magnetic Fields; 2.1.5 General Relativity; 2.2 Epicyclic Frequencies; 2.2.1 Radial Epicyclic Frequency in Pressureless Disks; 2.2.1.1 Case of Rotating Central Star; 2.2.1.2 Case of Binary System; 2.2.2 Radial Epicyclic Frequency in Fluid Disks; 2.2.3 Vertical Epicyclic Frequency; 2.2.3.1 Case of Rotating Central Star; 2.2.3.2 Case of Binary System; 2.2.4 General Relativistic Versions of Epicyclic Frequencies; 2.2.4.1 Radial Epicyclic Frequency; 2.2.4.2 Vertical Epicyclic Frequency; 2.3 Corotation and Lindblad Resonances
2.3.1 Corotation Resonance2.3.2 Lindblad Resonances; 2.3.2.1 Comments on Singular Points; References; 3 Derivation of Linear Wave Equations and Wave Energy; 3.1 Lagrangian Description of Oscillations and Wave Energy; 3.1.1 Orthogonality of Normal Modes; 3.1.2 Lagrangian Description of Wave Energy and Its Conservation; 3.1.3 Generalization to Magnetized Disks; 3.2 Eulerian Description of Oscillations; 3.2.1 Eulerian Description of Wave Energy; 3.2.2 Wave Energy Density and Energy Flux; 3.2.3 Wave Action and Its Implication; References; 4 Vertical Oscillations; 4.1 Vertical Disk Structure
4.1.1 Vertically Polytropic Disks4.1.2 Vertically Isothermal Disks; 4.2 Purely Vertical Oscillations; 4.2.1 Vertically Polyrtropic Disks; 4.2.2 Vertically Isothermal Disks; 4.2.3 Vertically Truncated Isothermal Disks; 4.2.4 Isothermal Disks with Toroidal Magnetic Fields; References; 5 Disk Oscillations in Radial Direction; 5.1 Approximations for Driving Radial Wave Equations; 5.1.1 Perturbation Method; 5.1.2 Galerkin's Method; 5.2 Wave Equation Derived by Perturbation Method; 5.2.1 Wave Equation in the Limit of dlnH/dlnr=0; 5.2.2 Wave Equation Till the Order of (dlnH/dlnr)