LEADER 05295nam 2200673 a 450 001 996204084603316 005 20170814184013.0 010 $a1-283-24650-3 010 $a9786613246509 010 $a1-118-03315-9 010 $a1-118-03135-0 035 $a(CKB)2550000000045916 035 $a(EBL)818698 035 $a(OCoLC)760173059 035 $a(SSID)ssj0000545333 035 $a(PQKBManifestationID)11335585 035 $a(PQKBTitleCode)TC0000545333 035 $a(PQKBWorkID)10559595 035 $a(PQKB)10297398 035 $a(MiAaPQ)EBC818698 035 $a(PPN)185060757 035 $a(EXLCZ)992550000000045916 100 $a19911023d1992 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aWater waves$b[electronic resource] $ethe mathematical theory with applications /$fJ.J. Stoker 210 $aNew York $cWiley$d1992 215 $a1 online resource (598 p.) 225 1 $aWiley classics library 300 $aOriginally published: New York : Interscience, 1958. 300 $a"A Wiley-Interscience publication." 311 $a0-471-57034-6 320 $aIncludes bibliographical references (p. 545-560) and indexes. 327 $aWater 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 327 $a2.4 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 327 $a4.4 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 ?=?/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 327 $a6.2 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 327 $a6.9 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 327 $a8. Waves Caused by a Moving Pressure Point. Kelvin's Theory of the Wave Pattern created by a Moving Ship 330 $aOffers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications such as the Laplace and Fourier transform methods, conformal mapping and complex variable techniques in general or integral equations, methods employing a Green's function. Coverage includes fundamental hydrodynamics, waves on sloping beaches, problems involving waves in shallow water, the motion of ships and much more. 410 0$aWiley classics library. 606 $aWater waves 606 $aHydrodynamics 606 $aHydraulics 615 0$aWater waves. 615 0$aHydrodynamics. 615 0$aHydraulics. 676 $a532.593 700 $aStoker$b J. J$g(James Johnston),$f1905-$02708 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996204084603316 996 $aWater waves$9329029 997 $aUNISA