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Linear water waves : a mathematical approach / / N. Kuznetsov, V. Mazya, B. Vainberg
| Linear water waves : a mathematical approach / / N. Kuznetsov, V. Mazya, B. Vainberg |
| Autore | Kuznetsov N. G (Nikolai Germanovich) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge ; ; New York, : Cambridge University Press, c2002 |
| Descrizione fisica | 1 online resource (xvii, 513 pages) : digital, PDF file(s) |
| Disciplina | 532/.593 |
| Altri autori (Persone) |
MaziaV. G
VainbergB. R (Boris Rufimovich) |
| Soggetto topico |
Wave-motion, Theory of
Water waves - Mathematics |
| ISBN |
1-107-12480-8
1-280-43047-8 9786610430475 0-511-17714-3 0-511-04196-9 0-511-15806-8 0-511-54677-7 0-511-32992-X 0-511-04469-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Basic Theory of Surface Waves -- Mathematical Formulation -- Linearized Unsteady Problem -- Linear Time-Harmonic Waves (the Water-Wave Problem) -- Linear Ship Waves on Calm Water (the Neumann-Kelvin Problem) -- Time-Harmonic Waves -- Green's Functions -- Three-Dimensional Problems of Point Sources -- Two-Dimensional and Ring Green's Functions -- Green's Representation of a Velocity Potential -- Submerged Obstacles -- Method of Integral Equations and Kochin's Theorem -- Conditions of Uniqueness for All Frequencies -- Unique Solvability Theorems -- Semisubmerged Bodies -- Integral Equations for Surface-Piercing Bodies -- John's Theorem on the Unique Solvability and Other Related Theorems -- Trapped Waves -- Uniqueness Theorems -- Horizontally Periodic Trapped Waves -- Two Types of Trapped Modes -- Edge Waves -- Trapped Modes Above Submerged Obstacles -- Waves in the Presence of Surface-Piercing Structures -- Vertical Cylinders in Channels -- Ship Waves on Calm Water -- Green's Functions -- Three-Dimensional Problem of a Point Source in Deep Water -- Far-Field Behavior of the Three-Dimensional Green's Function -- Two-Dimensional Problems of Line Sources -- The Neumann-Kelvin Problem for a Submerged Body -- Cylinder in Deep Water -- Cylinder in Shallow Water -- Wave Resistance -- Three-Dimensional Body in Deep Water -- Two-Dimensional Problem for a Surface-Piercing Body -- General Linear Supplementary Conditions at the Bow and Stern Points -- Total Resistance to the Forward Motion -- Other Supplementary Conditions. |
| Record Nr. | UNINA-9910811352103321 |
Kuznetsov N. G (Nikolai Germanovich)
|
||
| Cambridge ; ; New York, : Cambridge University Press, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Linear water waves : a mathematical approach / / N. Kuznetsov, V. Mazʹya, B. Vainberg [[electronic resource]]
| Linear water waves : a mathematical approach / / N. Kuznetsov, V. Mazʹya, B. Vainberg [[electronic resource]] |
| Autore | Kuznet︠s︡ov N. G (Nikolaĭ Germanovich) |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xvii, 513 pages) : digital, PDF file(s) |
| Disciplina | 532/.593 |
| Soggetto topico |
Wave-motion, Theory of
Water waves - Mathematics |
| ISBN |
1-107-12480-8
1-280-43047-8 9786610430475 0-511-17714-3 0-511-04196-9 0-511-15806-8 0-511-54677-7 0-511-32992-X 0-511-04469-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Basic Theory of Surface Waves -- Mathematical Formulation -- Linearized Unsteady Problem -- Linear Time-Harmonic Waves (the Water-Wave Problem) -- Linear Ship Waves on Calm Water (the Neumann-Kelvin Problem) -- Time-Harmonic Waves -- Green's Functions -- Three-Dimensional Problems of Point Sources -- Two-Dimensional and Ring Green's Functions -- Green's Representation of a Velocity Potential -- Submerged Obstacles -- Method of Integral Equations and Kochin's Theorem -- Conditions of Uniqueness for All Frequencies -- Unique Solvability Theorems -- Semisubmerged Bodies -- Integral Equations for Surface-Piercing Bodies -- John's Theorem on the Unique Solvability and Other Related Theorems -- Trapped Waves -- Uniqueness Theorems -- Horizontally Periodic Trapped Waves -- Two Types of Trapped Modes -- Edge Waves -- Trapped Modes Above Submerged Obstacles -- Waves in the Presence of Surface-Piercing Structures -- Vertical Cylinders in Channels -- Ship Waves on Calm Water -- Green's Functions -- Three-Dimensional Problem of a Point Source in Deep Water -- Far-Field Behavior of the Three-Dimensional Green's Function -- Two-Dimensional Problems of Line Sources -- The Neumann-Kelvin Problem for a Submerged Body -- Cylinder in Deep Water -- Cylinder in Shallow Water -- Wave Resistance -- Three-Dimensional Body in Deep Water -- Two-Dimensional Problem for a Surface-Piercing Body -- General Linear Supplementary Conditions at the Bow and Stern Points -- Total Resistance to the Forward Motion -- Other Supplementary Conditions. |
| Record Nr. | UNINA-9910450401903321 |
|
Kuznet︠s︡ov N. G (Nikolaĭ Germanovich)
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Linear water waves : a mathematical approach / / N. Kuznetsov, V. Mazʹya, B. Vainberg [[electronic resource]]
| Linear water waves : a mathematical approach / / N. Kuznetsov, V. Mazʹya, B. Vainberg [[electronic resource]] |
| Autore | Kuznet︠s︡ov N. G (Nikolaĭ Germanovich) |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xvii, 513 pages) : digital, PDF file(s) |
| Disciplina | 532/.593 |
| Soggetto topico |
Wave-motion, Theory of
Water waves - Mathematics |
| ISBN |
1-107-12480-8
1-280-43047-8 9786610430475 0-511-17714-3 0-511-04196-9 0-511-15806-8 0-511-54677-7 0-511-32992-X 0-511-04469-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Basic Theory of Surface Waves -- Mathematical Formulation -- Linearized Unsteady Problem -- Linear Time-Harmonic Waves (the Water-Wave Problem) -- Linear Ship Waves on Calm Water (the Neumann-Kelvin Problem) -- Time-Harmonic Waves -- Green's Functions -- Three-Dimensional Problems of Point Sources -- Two-Dimensional and Ring Green's Functions -- Green's Representation of a Velocity Potential -- Submerged Obstacles -- Method of Integral Equations and Kochin's Theorem -- Conditions of Uniqueness for All Frequencies -- Unique Solvability Theorems -- Semisubmerged Bodies -- Integral Equations for Surface-Piercing Bodies -- John's Theorem on the Unique Solvability and Other Related Theorems -- Trapped Waves -- Uniqueness Theorems -- Horizontally Periodic Trapped Waves -- Two Types of Trapped Modes -- Edge Waves -- Trapped Modes Above Submerged Obstacles -- Waves in the Presence of Surface-Piercing Structures -- Vertical Cylinders in Channels -- Ship Waves on Calm Water -- Green's Functions -- Three-Dimensional Problem of a Point Source in Deep Water -- Far-Field Behavior of the Three-Dimensional Green's Function -- Two-Dimensional Problems of Line Sources -- The Neumann-Kelvin Problem for a Submerged Body -- Cylinder in Deep Water -- Cylinder in Shallow Water -- Wave Resistance -- Three-Dimensional Body in Deep Water -- Two-Dimensional Problem for a Surface-Piercing Body -- General Linear Supplementary Conditions at the Bow and Stern Points -- Total Resistance to the Forward Motion -- Other Supplementary Conditions. |
| Record Nr. | UNINA-9910783045403321 |
|
Kuznet︠s︡ov N. G (Nikolaĭ Germanovich)
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Water waves : the mathematical theory with applications / / J.J. Stoker
| Water waves : the mathematical theory with applications / / J.J. Stoker |
| Autore | Stoker J. J (James Johnston), <1905-> |
| Pubbl/distr/stampa | New York, : Wiley, 1992 |
| Descrizione fisica | 1 online resource (598 p.) |
| Disciplina | 532/.593 |
| Collana | Wiley classics library |
| Soggetto topico |
Water waves
Hydrodynamics Hydraulics |
| ISBN |
1-283-24650-3
9786613246509 1-118-03315-9 1-118-03135-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Water Waves: The Mathematical Theory with Applications; Introduction; Acknowledgments; Contents; PART I; 1. Basic Hydrodynamics; 1.1 The laws of conservation of momentum and mass; 1.2 Helmholtz's theorem; 1.3 Potential flow and Bernoulli's law; 1.4 Boundary conditions; 1.5 Singularities of the velocity potential; 1.6 Notions concerning energy and energy flux; 1.7 Formulation of a surface wave problem; 2. The Two Basic Approximate Theories; 2.1 Theory of waves of small amplitude; 2.2 Shallow water theory to lowest order. Tidal theory; 2.3 Gas dynamics analogy
2.4 Systematic derivation of the shallow water theoryPART II; Subdivision A Waves Simple Harmonic in the Time; 3. Simple Harmonic Oscillations in Water of Constant Depth; 3.1 Standing waves; 3.2 Simple harmonic progressing waves; 3.3 Energy transmission for simple harmonic waves of small amplitude; 3.4 Group velocity. Dispersion; 4. Waves Maintained by Simple Harmonic Surface Pressure in Water of Uniform Depth. Forced Oscillations; 4.1 Introduction; 4.2 The surface pressure is periodic for all values of x; 4.3 The variable surface pressure is confined to a segment of the surface 4.4 Periodic progressing waves against a vertical cliff5. Waves on Sloping Beaches and Past Obstacles; 5.1 Introduction and summary; 5.2 Two-dimensional waves over beaches sloping at angles ω=π/2n; 5.3 Three-dimensional waves against a vertical cliff; 5.4 Waves on sloping beaches. General case; 5.5 Diffraction of waves around a vertical wedge. Sommerfeld's diffraction problem; 5.6 Brief discussions of additional applications and of other methods of solution; Subdivision B Motions Starting from Rest. Transients; 6. Unsteady Motions; 6.1 General formulation of the problem of unsteady motions 6.2 Uniqueness of the unsteady motions in bounded domains6.3 Outline of the Fourier transform technique; 6.4 Motions due to disturbances originating at the surface; 6.5 Application of Kelvin's method of stationary phase; 6.6 Discussion of the motion of the free surface due to disturbances initiated when the water is at rest; 6.7 Waves due to a periodic impulse applied to the water when initially at rest. Derivation of the radiation condition for purely periodic waves; 6.8 Justification of the method of stationary phase 6.9 A time-dependent Green's function. Uniqueness of unsteady motions in unbounded domains when obstacles are presentSubdivision C Waves on a Running Stream. Ship Waves; 7. Two-dimensional Waves on a Running Stream in Water of Uniform Depth; 7.1 Steady motions in water of infinite depth with p = 0 on the free surface; 7.2 Steady motions in water of infinite depth with a disturbing pressure on the free surface; 7.3 Steady waves in water of constant finite depth; 7.4 Unsteady waves created by a disturbance on the surface of a running stream 8. Waves Caused by a Moving Pressure Point. Kelvin's Theory of the Wave Pattern created by a Moving Ship |
| Record Nr. | UNINA-9910139599903321 |
|
Stoker J. J (James Johnston), <1905->
|
||
| New York, : Wiley, 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||