Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 11
Submit an article Journal homepage
880
Views
47
CrossRef citations to date
0
Altmetric
Articles

Exact geophysical waves in stratified fluids

Anca-Voichita Matioc Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Vienna, AustriaCorrespondence[email protected]
Pages 2254-2261 | Received 31 Jul 2012, Accepted 03 Sep 2012, Published online: 08 Oct 2012

Citations (47)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (6)

Xun Wang & Yanjuan Yang. (2024) On some recently derived exact solutions to the Euler equations. Applicable Analysis 103:5, pages 998-1007.
Read now
Jifeng Chu, Calin Iulian Martin & Kateryna Marynets. (2024) Exact solutions for geophysical flows with discontinuous variable density and forcing terms in spherical coordinates. Applicable Analysis 103:4, pages 734-747.
Read now
Calin Iulian Martin & Adrian Petruşel. (2022) A fixed-point approach for azimuthal equatorial ocean flows. Applicable Analysis 101:1, pages 217-224.
Read now
Mateusz Kluczek. (2018) Equatorial water waves with underlying currents in the f-plane approximation. Applicable Analysis 97:11, pages 1867-1880.
Read now
Adrián Rodríguez-Sanjurjo & Mateusz Kluczek. (2017) Mean flow properties for equatorially trapped internal water wave–current interactions. Applicable Analysis 96:13, pages 2333-2345.
Read now
David Henry. (2015) Internal equatorial water waves in the f −plane. Journal of Nonlinear Mathematical Physics 22:4, pages 499-506.
Read now

Articles from other publishers (41)

Jordan McCarney. (2024) Nonhydrostatic internal waves in the presence of mean currents and rotation. Journal of Mathematical Physics 65:4.
Crossref
Calin Iulian Martin. (2023) Liouville-type results for time-dependent stratified water flows over variable bottom in the β -plane approximation . Physics of Fluids 35:10.
Crossref
Jordan McCarney. (2023) Exact internal waves in the presence of mean currents and rotation. Journal of Mathematical Physics 64:7.
Crossref
Calin Martin & Adrian Petruşel. (2022) Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude. Annali di Matematica Pura ed Applicata (1923 -) 201:6, pages 2677-2690.
Crossref
Calin I. Martin. (2021) Some explicit solutions of the three-dimensional Euler equations with a free surface. Mathematische Annalen 384:3-4, pages 1653-1673.
Crossref
Stephen Ndubuisi Nnamchi & Mustafa Muhamad Mundu. (2022) Development of solar isodose lines: Mercatorian and spatial guides for mapping solar installation areas. Heliyon 8:10, pages e11045.
Crossref
Anatolii A. Abrashkin & Efim N. Pelinovsky. (2021) Gerstner waves and their generalizations in hydrodynamics and geophysics. Uspekhi Fizicheskih Nauk 192:05, pages 491-506.
Crossref
Anatolii A. Abrashkin & Efim N. Pelinovsky. (2021) Gerstner waves and their generalizations in hydrodynamics and geophysics. Physics-Uspekhi 65:05, pages 453-467.
Crossref
Calin Iulian Martin & Ronald Quirchmayr. (2021) Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates. Studies in Applied Mathematics 148:3, pages 1021-1039.
Crossref
Lili Fan, Hongjun Gao & Haochen Li. (2022) On the Geophysical Green-Naghdi System. Journal of Nonlinear Science 32:2.
Crossref
Calin I. Martin. (2021) Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem. Journal of Mathematical Fluid Mechanics 23:2.
Crossref
David Henry & Tony Lyons. (2021) Pollard waves with underlying currents. Proceedings of the American Mathematical Society 149:3, pages 1175-1188.
Crossref
Calin I. Martin. (2021) Azimuthal equatorial flows in spherical coordinates with discontinuous stratification. Physics of Fluids 33:2.
Crossref
Calin Iulian Martin. (2020) Geophysical water flows with constant vorticity and centripetal terms. Annali di Matematica Pura ed Applicata (1923 -) 200:1, pages 101-116.
Crossref
Joachim Escher, Patrik Knopf, Christina Lienstromberg & Bogdan-Vasile Matioc. (2020) Stratified periodic water waves with singular density gradients. Annali di Matematica Pura ed Applicata (1923 -) 199:5, pages 1923-1959.
Crossref
D Henry & C I Martin. (2020) Stratified equatorial flows in cylindrical coordinates. Nonlinearity 33:8, pages 3889-3904.
Crossref
Calin Iulian Martin & Ronald Quirchmayr. (2019) Explicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinates. Journal of Mathematical Physics 60:10.
Crossref
Calin Iulian Martin. (2019) Constant vorticity water flows with full Coriolis term. Nonlinearity 32:7, pages 2327-2336.
Crossref
Lili Fan. (2019) Mean velocities in an irrotational equatorial wind wave. Applied Numerical Mathematics 141, pages 158-166.
Crossref
Adrián Rodríguez-Sanjurjo. (2019) Instability of Nonlinear Wave–Current Interactions in a Modified Equatorial $$\beta $$ β -Plane Approximation. Journal of Mathematical Fluid Mechanics 21:2.
Crossref
Jifeng Chu, Delia Ionescu-Kruse & Yanjuan Yang. (2019) Exact Solution and Instability for Geophysical Waves with Centripetal Forces and at Arbitrary Latitude. Journal of Mathematical Fluid Mechanics 21:2.
Crossref
Adrián Rodríguez-Sanjurjo. (2019) Instability of equatorially-trapped nonhydrostatic internal geophysical water waves. Wave Motion 88, pages 144-152.
Crossref
Anatoly Abrashkin. (2019) Unsteady Gerstner waves. Chaos, Solitons & Fractals 118, pages 152-158.
Crossref
Mateusz Kluczek & Adrián Rodríguez-Sanjurjo. 2019. Nonlinear Water Waves. Nonlinear Water Waves 19 34 .
Adrián Rodríguez-Sanjurjo. (2018) Global diffeomorphism of the Lagrangian flow-map for Pollard-like solutions. Annali di Matematica Pura ed Applicata (1923 -) 197:6, pages 1787-1797.
Crossref
Delia Ionescu-Kruse. (2017) Local Stability for an Exact Steady Purely Azimuthal Flow which Models the Antarctic Circumpolar Current. Journal of Mathematical Fluid Mechanics 20:2, pages 569-579.
Crossref
D. Henry. (2017) On three-dimensional Gerstner-like equatorial water waves. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376:2111, pages 20170088.
Crossref
Calin Iulian Martin. (2017) Two-dimensionality of gravity water flows governed by the equatorial f-plane approximation. Annali di Matematica Pura ed Applicata (1923 -) 196:6, pages 2253-2260.
Crossref
Mateusz Kluczek. (2016) Exact and Explicit Internal Equatorial Water Waves with Underlying Currents. Journal of Mathematical Fluid Mechanics 19:2, pages 305-314.
Crossref
Rossen Ivanov. (2017) Hamiltonian model for coupled surface and internal waves in the presence of currents. Nonlinear Analysis: Real World Applications 34, pages 316-334.
Crossref
Calin Iulian Martin. (2015) Surface tension effects in the equatorial ocean dynamics. Monatshefte für Mathematik 182:3, pages 675-682.
Crossref
Adrián Rodríguez-Sanjurjo. (2017) Global diffeomorphism of the Lagrangian flow-map for Equatorially-trapped internal water waves. Nonlinear Analysis: Theory, Methods & Applications 149, pages 156-164.
Crossref
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.
Crossref
David Henry. (2016) Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces. Journal of Fluid Mechanics 804.
Crossref
Hung-Chu Hsu & Calin Iulian Martin. (2016) Free-surface capillary–gravity azimuthal equatorial flows. Nonlinear Analysis 144, pages 1-9.
Crossref
David Henry. (2016) Exact equatorial water waves in the -plane . Nonlinear Analysis: Real World Applications 28, pages 284-289.
Crossref
Silvia Sastre-Gomez. (2015) Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves. Nonlinear Analysis 125, pages 725-731.
Crossref
Oleg A. Godin. (2015) Finite-amplitude acoustic-gravity waves: exact solutions. Journal of Fluid Mechanics 767, pages 52-64.
Crossref
David Henry & Bogdan-Vasile Matioc. 2015. Elliptic and Parabolic Equations. Elliptic and Parabolic Equations 159 177 .
David Henry & Anca-Voichita Matioc. (2014) On the symmetry of steady equatorial wind waves. Nonlinear Analysis: Real World Applications 18, pages 50-56.
Crossref
David Henry & Anca-Voichita Matioc. (2014) On the existence of equatorial wind waves. Nonlinear Analysis: Theory, Methods & Applications 101, pages 113-123.
Crossref

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.