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Journal of Nonlinear Mathematical Physics Volume 15, 2008 - Issue sup2: Water Waves
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Original Articles

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

Joachim Escher Institute for Applied Mathematics, Leibniz University Hannover, Welfengarten 1, 30167, Hannover, Germany E-mail: [email protected]
&
Torsten Schlurmann Franzius-Institut fur Wasserbau und Kusteningenieurwesen, Leibniz Universitat, Hannover, 30167, Hannover, Germany E-mail: [email protected]
Pages 50-57 | Received 22 Apr 2008, Published online: 21 Jan 2013

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Didier Clamond. (2015) Surface waves determination from pressure measurements at the bottom . La Houille Blanche 101:4, pages 29-31.
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David Henry. (2013) On free surfaces in hydrostatic flows. Applicable Analysis 92:2, pages 238-245.
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B. DECONINCK, K. L. OLIVERAS & V. VASAN. (2012) RELATING THE BOTTOM PRESSURE AND THE SURFACE ELEVATION IN THE WATER WAVE PROBLEM. Journal of Nonlinear Mathematical Physics 19:sup1, pages 179-189.
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Articles from other publishers (40)

Qixiang Li, Michal Fečkan & JinRong Wang. (2023) On the estimation of wave heights for periodic water waves from velocity and pressure data. Results in Physics 51, pages 106678.
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Huidong Zhang, Xinmei Liao, Zhongxu Xin, Hongda Shi & C. Guedes Soares. (2023) Experimental study on dynamic pressure under the crest of unidirectional nonlinear waves. Ocean Engineering 276, pages 114251.
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Shubhayan Roy Chowdhury & Arijit Majumder. 2023. Environmental Management and Sustainability in India. Environmental Management and Sustainability in India 153 170 .
Fei Xu, Yong Zhang & Fengquan Li. (2021) On the Symmetry and Recovery of Steady Continuously Stratified Periodic Water Waves. Journal of Mathematical Fluid Mechanics 23:4.
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E. Didenkulova, E. Pelinovsky & J. Touboul. (2021) Long-wave approximations in the description of bottom pressure. Wave Motion 100, pages 102668.
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Didier Clamond & David Henry. (2020) Extreme water-wave profile recovery from pressure measurements at the seabed. Journal of Fluid Mechanics 903.
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Jiaqi Liu, Masoud Hayatdavoodi & R. Cengiz Ertekin. (2020) On Bore Dynamics and Pressure: RANS, Green-Naghdi, and Saint-Venant Equations. Journal of Offshore Mechanics and Arctic Engineering 142:2.
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Valentina LafaceGiovanni MalaraAlessandra RomoloFelice ArenaIoannis A. Kougioumtzoglou. (2018) Compressive Sensing–Based Reconstruction of Sea Free-Surface Elevation on a Vertical Wall. Journal of Waterway, Port, Coastal, and Ocean Engineering 144:5.
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Biswajit Basu. (2018) Solitary water waves propagating on an underlying uniform current over a finite depth. Nonlinear Analysis 172, pages 25-35.
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Davide D’Alimonte, Giuseppe Zibordi & Tamito Kajiyama. (2018) Effects of integration time on in-water radiometric profiles. Optics Express 26:5, pages 5908.
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D. Henry & G. P. Thomas. (2017) Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376:2111, pages 20170102.
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Tony Lyons. (2017) The dynamic pressure in deep-water extreme Stokes waves. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376:2111, pages 20170095.
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Biswajit Basu. (2017) Wave height estimates from pressure and velocity data at an intermediate depth in the presence of uniform currents. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376:2111, pages 20170087.
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Robin Ming Chen & Samuel Walsh. (2018) Unique determination of stratified steady water waves from pressure. Journal of Differential Equations 264:1, pages 115-133.
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Julien Touboul & Efim Pelinovsky. (2018) On the use of linear theory to estimate bottom pressure distribution under nonlinear surface waves. European Journal of Mechanics - B/Fluids 67, pages 97-103.
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A. Slunyaev, E. Pelinovsky & H.-C. Hsu. (2018) The pressure field beneath intense surface water wave groups. European Journal of Mechanics - B/Fluids 67, pages 25-34.
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Lili Fan, Hongjun Gao & Lei Mao. (2017) Extrema of the dynamic pressure in an irrotational Stokes wave with underlying currents and infinite depth. Nonlinear Analysis 162, pages 13-21.
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Biswajit Basu. (2017) Estimation of wave heights from pressure data at the bed in the presence of uniform underlying currents. Nonlinear Analysis 156, pages 82-89.
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Robin Ming Chen, Vera Mikyoung Hur & Samuel Walsh. (2016) Pressure Transfer Functions for Interfacial Fluids Problems. Journal of Mathematical Fluid Mechanics 19:1, pages 59-76.
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A. Constantin. (2016) Extrema of the dynamic pressure in an irrotational regular wave train. Physics of Fluids 28:11.
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Vera Mikyoung Hur & Michael R. Livesay. (2016) On the recovery of traveling water waves with vorticity from the pressure at the bed. European Journal of Mechanics - B/Fluids 60, pages 99-109.
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Tony Lyons. (2016) The pressure distribution in extreme Stokes waves. Nonlinear Analysis: Real World Applications 31, pages 77-87.
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Tony Lyons. (2016) The Pressure in a Deep-Water Stokes Wave of Greatest Height. Journal of Mathematical Fluid Mechanics 18:2, pages 209-218.
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Adrian Constantin, Joachim Escher, Robin Stanley Johnson & Gabriele VillariAdrian Constantin. 2016. Nonlinear Water Waves. Nonlinear Water Waves 1 82 .
Bogdan-Vasile Matioc. (2015) Recovery of Stokes waves from velocity measurements on an axis of symmetry. Journal of Physics A: Mathematical and Theoretical 48:25, pages 255501.
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Florian Kogelbauer. (2015) Recovery of the wave profile for irrotational periodic water waves from pressure measurements. Nonlinear Analysis: Real World Applications 22, pages 219-224.
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Julien Touboul & Efim Pelinovsky. (2014) Bottom pressure distribution under a solitonic wave reflecting on a vertical wall. European Journal of Mechanics - B/Fluids 48, pages 13-18.
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A. Constantin. (2014) Estimating wave heights from pressure data at the bed. Journal of Fluid Mechanics 743.
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Hung-Chu Hsu. (2014) Recovering surface profiles of solitary waves on a uniform stream from pressure measurements. Discrete & Continuous Dynamical Systems - A 34:8, pages 3035-3043.
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Davide D’Alimonte, Eugeny B. Shybanov, Giuseppe Zibordi & Tamito Kajiyama. (2013) Regression of in-water radiometric profile data. Optics Express 21:23, pages 27707.
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David Henry. (2013) On the pressure transfer function for solitary water waves with vorticity. Mathematische Annalen 357:1, pages 23-30.
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Didier Clamond. (2013) New exact relations for easy recovery of steady wave profiles from bottom pressure measurements. Journal of Fluid Mechanics 726, pages 547-558.
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D. Clamond & A. Constantin. (2013) Recovery of steady periodic wave profiles from pressure measurements at the bed. Journal of Fluid Mechanics 714, pages 463-475.
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Julien Touboul & Vincent Rey. (2012) Bottom pressure distribution due to wave scattering near a submerged obstacle. Journal of Fluid Mechanics 702, pages 444-459.
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A. Constantin. (2012) On the recovery of solitary wave profiles from pressure measurements. Journal of Fluid Mechanics 699, pages 376-384.
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Didier Clamond. (2012) Note on the velocity and related fields of steady irrotational two-dimensional surface gravity waves. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370:1964, pages 1572-1586.
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K. L. Oliveras, V. Vasan, B. Deconinck & D. Henderson. (2012) Recovering the Water-Wave Profile from Pressure Measurements. SIAM Journal on Applied Mathematics 72:3, pages 897-918.
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Adrian Constantin, Joachim Escher & Hung-Chu Hsu. (2011) Pressure Beneath a Solitary Water Wave: Mathematical Theory and Experiments. Archive for Rational Mechanics and Analysis 201:1, pages 251-269.
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David Henry. (2009) Pressure in a Deep-Water Stokes Wave. Journal of Mathematical Fluid Mechanics 13:2, pages 251-257.
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Davide D’Alimonte, Giuseppe Zibordi, Tamito Kajiyama & José C. Cunha. (2010) Monte Carlo code for high spatial resolution ocean color simulations. Applied Optics 49:26, pages 4936.
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