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Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 5
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Research Article

On some recently derived exact solutions to the Euler equations

Xun Wanga College of Science, University of Shanghai for Science and Technology, Shanghai, People's Republic of ChinaCorrespondence[email protected]
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Yanjuan Yangb School of Mathematics and Statistics, Shandong Normal University, Ji'nan, People's Republic of ChinaORCID Iconhttps://orcid.org/0000-0002-7370-1516View further author information
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Pages 998-1007 | Received 06 Nov 2022, Accepted 04 Jun 2023, Published online: 09 Jun 2023
 
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Abstract

We present some explicit solutions with radial character in the setting of Eulerian framework to the three-dimensional nonlinear water waves in arctic regions. In particular, we focus on the motion of water waves with a moving bed and the pressure varying on free surface.

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Disclosure statement

No potential conflict of interest was reported by the author(s).

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Funding

Yanjuan Yang was supported by the National Natural Science Foundation of China (Grants No. 12201364), the Shandong Provincial Natural Science Foundation (Grant No. ZR2021QA048) and the China Postdoctoral Science Foundation (Grant No. 2021M702037).

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