On the Recovery of the Free Surface from the Pressure within Periodic Traveling Water Waves

References

• Baquerizo , A and Losada , MA . 1995 . Transfer function between wave height and wave pressure for progressive waves . Coastal Engineering , 24 : 351 – 353 .
   Google Scholar
• Bishop , C T and Donelan , M A . 1987 . Measuring waves with pressure transducers . Coastal Engineering , 11 : 309 – 328 .
   Web of Science ®Google Scholar
• Cavaleri , L . 1980 . Wave measurement using pressure transducer . Oceanologica Acta , 3 : 339 – 346 .
   Google Scholar
• Constantin , A . 2006 . The trajectories of particles in Stokes waves . Invent. Math. , 166 : 523 – 535 .
   Web of Science ®Google Scholar
• Constantin , A , Ehrnström , M and Wahlen , E . 2007 . Symmetry of steady periodic gravity gravity water waves with vorticity . Duke Math. J. , 140 : 591 – 603 .
   Web of Science ®Google Scholar
• Constantin , A and Escher , J . 2007 . Particle trajectories in solitary water waves . Bull. Amer. Math. Soc. , 44 : 423 – 431 .
   Web of Science ®Google Scholar
• Constantin , A and Escher , J . 2004 . Symmetry of steady periodic surface water waves with vorticity . J. Fluid Mech. , 498 : 171 – 181 .
   Web of Science ®Google Scholar
• Constantin , A and Escher , J . 2004 . Symmetry of steady deep-water waves with vorticity . European J. Appl. Math. , 15 : 755 – 768 .
   Web of Science ®Google Scholar
• Constantin , A and Johnson , R S . 2006 . Modelling tsunamis . J. Phys. A , 39 : L215 – L217 .
   Google Scholar
• Constantin , A and Johnson , R S . 2008 . Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis . Fluid Dynamics Research , 40 : 175 – 211 .
   Web of Science ®Google Scholar
• Constantin , A and Strauss , W . 2004 . Exact steady periodic water waves with vorticity . Comm. Pure Appl. Math. , 57 : 481 – 527 .
   Web of Science ®Google Scholar
• Donelan , M A and Hui , W H . 1990 . “ Mechanics of ocean surface waves ” . In Surface waves and fluxes , Edited by: Geernaert , G. L. and Plant , W. J. 209 – 246 . D. Reidel Publishing Company .
   Google Scholar
• Drennan , W M , Kahma , K K and Donelan , M A . 1992 . The velocity field beneath wind-waves: observations and inferences . Coastal Engineering , 18 : 111 – 136 .
   Google Scholar
• Evans , W A B and Ford , M J . 1996 . An exact integral equation for solitary waves (with new numerical results for some ‘internal’ properties) . Proc. Roy. Soc. London A , 452 : 373390
   Google Scholar
• Fraenkel , L E . 2000 . An introduction to maximum principles and symmetry in elliptic problems , Cambridge : Cambridge University Press .
   Google Scholar
• Haas , K A , Kennedy , A B and Sapp , B K . 2008 . Video measurements of large-scale flows in a laboratory wave basin . J. Waterw. Port Coast. Ocean Eng.-ASCE , 134 : 12 – 20 .
   Google Scholar
• Johnson , R S . 1997 . A modern introduction to the mathematical theory of water waves , Cambridge : Cambridge University Press .
   Google Scholar
• Kuo , Y Y and Chiu , Y F . 1994 . Transfer function between the wave height and wave pressure for progressive waves . Coastal Engineering , 23 : 81 – 93 .
   Google Scholar
• Lighthill , J . 1978 . Waves in Fluids , Cambridge : Cambridge University Press .
   Google Scholar
• Swan , C , Cummins , I P and James , R L . 2001 . An experimental study of two-dimensional surface water waves propagating on depth-varying currents . J. Fluid Mech. , 428 : 273 – 304 .
   Web of Science ®Google Scholar
• Toland , J F . 1996 . Stokes waves . Topol. Methods Nonlinear Anal. , 7 : 1 – 48 .
   Google Scholar
• Tsai , C H , Huang , M C , Young , F J , Lin , Y C and Li , H W . 2005 . On the recovery of surface wave by pressure transfer function . Ocean Engineering , 32 : 1247 – 1259 .
   Web of Science ®Google Scholar