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Study on a Second-Order Ordinary Differential Equation for the Ocean Flow in Arctic Gyres

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Abstract

By considering the radial solutions for a semi-linear elliptic equation model of gyres and introducing exponential transformation, we derive a second-order ordinary differential equation, which acts as a new model for the ocean flow in arctic gyres. Then we investigate the solutions for constant vorticity, linear vorticity and nonlinear vorticity in this model.

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Acknowledgements

The authors are grateful to the referees for their careful reading of the manuscript and valuable comments. The authors thank the help from the editor too.

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, Guiyang, 550025, Guizhou, China

    Fei Chen & JinRong Wang

  2. Supercomputing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company, Guizhou University, Guiyang, 550025, Guizhou, China

    Fei Chen & JinRong Wang

  3. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava Mlynská dolina, 842 48, Bratislava, Slovakia

    Michal Fečkan

  4. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia

    Michal Fečkan

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  1. Fei Chen
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  2. Michal Fečkan
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  3. JinRong Wang
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Correspondence to JinRong Wang.

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This work is partially supported by the National Natural Science Foundation of China (12161015), Guizhou Provincial Science and Technology Projects (Qian Ke He Ji Chu-ZK[2023]yiban034), Qian Ke He Ping Tai Ren Cai-YSZ[2022]002, the Slovak Research and Development Agency under the contract No. APVV-18-0308, and the Slovak Grant Agency VEGA No. 2/0127/20 and No. 1/0084/23.

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Chen, F., Fečkan, M. & Wang, J. Study on a Second-Order Ordinary Differential Equation for the Ocean Flow in Arctic Gyres. Qual. Theory Dyn. Syst. 22, 77 (2023). https://doi.org/10.1007/s12346-023-00778-z

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