Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem

We present some explicit solutions (given in Eulerian coordinates) to the three-dimensional nonlinear water wave problem. The velocity field of some of the solutions exhibits a non-constant vorticity vector. An added bonus of the solutions we find is the possibility of incorporating a variable (in t...

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Autor principal: Martin, Calin I.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7941728/
https://www.ncbi.nlm.nih.gov/pubmed/33758576
http://dx.doi.org/10.1007/s00021-021-00564-4
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author Martin, Calin I.
author_facet Martin, Calin I.
author_sort Martin, Calin I.
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description We present some explicit solutions (given in Eulerian coordinates) to the three-dimensional nonlinear water wave problem. The velocity field of some of the solutions exhibits a non-constant vorticity vector. An added bonus of the solutions we find is the possibility of incorporating a variable (in time and space) surface pressure which has a radial structure. A special type of radial structure of the surface pressure (of exponential type) is one of the features displayed by hurricanes, cf. Overland (Earle, Malahoff (eds) Overland in ocean wave climate, Plenum Pub. Corp., New York, 1979).
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spelling pubmed-79417282021-03-21 Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem Martin, Calin I. J Math Fluid Mech Article We present some explicit solutions (given in Eulerian coordinates) to the three-dimensional nonlinear water wave problem. The velocity field of some of the solutions exhibits a non-constant vorticity vector. An added bonus of the solutions we find is the possibility of incorporating a variable (in time and space) surface pressure which has a radial structure. A special type of radial structure of the surface pressure (of exponential type) is one of the features displayed by hurricanes, cf. Overland (Earle, Malahoff (eds) Overland in ocean wave climate, Plenum Pub. Corp., New York, 1979). Springer International Publishing 2021-03-01 2021 /pmc/articles/PMC7941728/ /pubmed/33758576 http://dx.doi.org/10.1007/s00021-021-00564-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Martin, Calin I.
Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem
title Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem
title_full Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem
title_fullStr Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem
title_full_unstemmed Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem
title_short Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem
title_sort some explicit solutions to the three-dimensional nonlinear water wave problem
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7941728/
https://www.ncbi.nlm.nih.gov/pubmed/33758576
http://dx.doi.org/10.1007/s00021-021-00564-4
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