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

Particle Trajectories in Linearized Irrotational Shallow Water Flows

Delia Ionescu-Kruse Institute of Mathematics of the Romanian Academy, P.O. Box 1–764, RO-014700, Bucharests, Romania E-mail: [email protected]
Pages 13-27 | Received 28 Feb 2008, Published online: 21 Jan 2013

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ANCA-VOICHITA MATIOC & BOGDAN-VASILE MATIOC. (2012) ON PERIODIC WATER WAVES WITH CORIOLIS EFFECTS AND ISOBARIC STREAMLINES. Journal of Nonlinear Mathematical Physics 19:sup1, pages 89-103.
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Articles from other publishers (21)

Dong Su & Hongjun Gao. (2021) Exact solution and instability for geophysical waves in modified equatorial -plane approximation with and without centripetal forces . European Journal of Mechanics - B/Fluids 87, pages 47-60.
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B. Oblak. (2021) Topological bifurcations and reconstruction of travelling waves. Physics of Fluids 33:2.
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David Henry. (2019) Stokes drift in equatorial water waves, and wave–current interactions. Deep Sea Research Part II: Topical Studies in Oceanography 160, pages 41-47.
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Ehab S. Selima, Yadan Mao, Xiaohua Yao, Adel M. Morad, Talaat Abdelhamid & Basem I. Selim. (2018) Applicable symbolic computations on dynamics of small-amplitude long waves and Davey–Stewartson equations in finite water depth. Applied Mathematical Modelling 57, pages 376-390.
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T. S. van den Bremer & Ø. Breivik. (2017) Stokes drift. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376:2111, pages 20170104.
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David Henry & Silvia Sastre-Gomez. (2016) Mean Flow Velocities and Mass Transport for Equatorially-Trapped Water Waves with an Underlying Current. Journal of Mathematical Fluid Mechanics 18:4, pages 795-804.
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Adrian Constantin. (2015) The flow beneath a periodic travelling surface water wave. Journal of Physics A: Mathematical and Theoretical 48:14, pages 143001.
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François Genoud & David Henry. (2014) Instability of Equatorial Water Waves with an Underlying Current. Journal of Mathematical Fluid Mechanics 16:4, pages 661-667.
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Anca-Voichita Matioc. (2014) On the particle motion in geophysical deep water waves traveling over uniform currents. Quarterly of Applied Mathematics 72:3, pages 455-469.
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Zahra Khorsand. (2014) Particle trajectories in the Serre equations. Applied Mathematics and Computation 230, pages 35-42.
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Delia Ionescu-Kruse & Anca-Voichita Matioc. (2014) Small-amplitude equatorial water waves with constant vorticity: Dispersion relations and particle trajectories. Discrete and Continuous Dynamical Systems 34:8, pages 3045-3060.
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David Henry. (2013) An exact solution for equatorial geophysical water waves with an underlying current. European Journal of Mechanics - B/Fluids 38, pages 18-21.
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Delia Ionescu-Kruse. (2012) On the Particle Paths and the Stagnation Points in Small-Amplitude Deep-Water Waves. Journal of Mathematical Fluid Mechanics 15:1, pages 41-54.
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Anca-Voichita Matioc. (2012) An exact solution for geophysical equatorial edge waves over a sloping beach. Journal of Physics A: Mathematical and Theoretical 45:36, pages 365501.
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Mats Ehrnström, Joachim Escher & Gabriele Villari. (2011) Steady Water Waves with Multiple Critical Layers: Interior Dynamics. Journal of Mathematical Fluid Mechanics 14:3, pages 407-419.
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Hung-Chu Hsu, Chiu-On Ng & Hwung-Hweng Hwung. (2010) A New Lagrangian Asymptotic Solution for Gravity–Capillary Waves in Water of Finite Depth. Journal of Mathematical Fluid Mechanics 14:1, pages 79-94.
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Anca-Voichita Matioc. (2012) On particle trajectories in linear deep-water waves. Communications on Pure and Applied Analysis 11:4, pages 1537-1547.
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Delia Ionescu-Kruse. (2012) Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity. Communications on Pure and Applied Analysis 11:4, pages 1475-1496.
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Delia Ionescu-Kruse. (2010) Small-amplitude capillary-gravity water waves: Exact solutions and particle motion beneath such waves. Nonlinear Analysis: Real World Applications 11:4, pages 2989-3000.
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Delia Ionescu-Kruse. (2009) Particle trajectories beneath small amplitude shallow water waves in constant vorticity flows. Nonlinear Analysis: Theory, Methods & Applications 71:9, pages 3779-3793.
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Delia Ionescu-Kruse. (2009) Exact solutions for small-amplitude capillary-gravity water waves. Wave Motion 46:6, pages 379-388.
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